Draft PRD-targeted paper (Armada 1)
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|
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{29}},\ \bibinfo {pages} {132001} (\bibinfo {year} {2012})}\BibitemShut
|
||||
{NoStop}%
|
||||
\bibitem [{\citenamefont {Glaser}\ and\ \citenamefont
|
||||
{Surya}(2018)}]{Glaser2018}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {L.}~\bibnamefont
|
||||
{Glaser}}\ and\ \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont {Surya}},\
|
||||
}\bibfield {title} {\bibinfo {title} {Finite size scaling in 2d causal set
|
||||
quantum gravity},\ }\href {https://doi.org/10.1088/1361-6382/aa9540}
|
||||
{\bibfield {journal} {\bibinfo {journal} {Class. Quantum Grav.}\ }\textbf
|
||||
{\bibinfo {volume} {35}},\ \bibinfo {pages} {045006} (\bibinfo {year}
|
||||
{2018})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Cunningham}\ and\ \citenamefont
|
||||
{Surya}(2020)}]{Cunningham2020}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {W.~J.}\ \bibnamefont
|
||||
{Cunningham}}\ and\ \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
|
||||
{Surya}},\ }\bibfield {title} {\bibinfo {title} {Dimensionally restricted
|
||||
causal set quantum gravity},\ }\href
|
||||
{https://doi.org/10.1088/1361-6382/ab60b7} {\bibfield {journal} {\bibinfo
|
||||
{journal} {Class. Quantum Grav.}\ }\textbf {\bibinfo {volume} {37}},\
|
||||
\bibinfo {pages} {054002} (\bibinfo {year} {2020})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Rideout}\ and\ \citenamefont
|
||||
{Sorkin}(2000)}]{Rideout2000}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {D.~P.}\ \bibnamefont
|
||||
{Rideout}}\ and\ \bibinfo {author} {\bibfnamefont {R.~D.}\ \bibnamefont
|
||||
{Sorkin}},\ }\bibfield {title} {\bibinfo {title} {Classical sequential
|
||||
growth dynamics for causal sets},\ }\href
|
||||
{https://doi.org/10.1103/PhysRevD.61.024002} {\bibfield {journal} {\bibinfo
|
||||
{journal} {Phys. Rev. D}\ }\textbf {\bibinfo {volume} {61}},\ \bibinfo
|
||||
{pages} {024002} (\bibinfo {year} {2000})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Loomis}\ and\ \citenamefont
|
||||
{Carlip}(2018)}]{Loomis2018}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
|
||||
{Loomis}}\ and\ \bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
|
||||
{Carlip}},\ }\bibfield {title} {\bibinfo {title} {Suppression of
|
||||
non-manifold-like sets in the causal set path integral},\ }\href
|
||||
{https://doi.org/10.1088/1361-6382/aa980b} {\bibfield {journal} {\bibinfo
|
||||
{journal} {Class. Quantum Grav.}\ }\textbf {\bibinfo {volume} {35}},\
|
||||
\bibinfo {pages} {015009} (\bibinfo {year} {2018})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Hartle}\ and\ \citenamefont
|
||||
{Hawking}(1983)}]{Hartle1983}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.~B.}\ \bibnamefont
|
||||
{Hartle}}\ and\ \bibinfo {author} {\bibfnamefont {S.~W.}\ \bibnamefont
|
||||
{Hawking}},\ }\bibfield {title} {\bibinfo {title} {Wave function of the
|
||||
universe},\ }\href {https://doi.org/10.1103/PhysRevD.28.2960} {\bibfield
|
||||
{journal} {\bibinfo {journal} {Phys. Rev. D}\ }\textbf {\bibinfo {volume}
|
||||
{28}},\ \bibinfo {pages} {2960} (\bibinfo {year} {1983})}\BibitemShut
|
||||
{NoStop}%
|
||||
\bibitem [{\citenamefont {DeWitt}(1967)}]{DeWitt1967}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {B.~S.}\ \bibnamefont
|
||||
{DeWitt}},\ }\bibfield {title} {\bibinfo {title} {Quantum theory of gravity.
|
||||
{I}. {The} canonical theory},\ }\href
|
||||
{https://doi.org/10.1103/PhysRev.160.1113} {\bibfield {journal} {\bibinfo
|
||||
{journal} {Phys. Rev.}\ }\textbf {\bibinfo {volume} {160}},\ \bibinfo {pages}
|
||||
{1113} (\bibinfo {year} {1967})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Isham}(1993)}]{Isham1993}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {C.~J.}\ \bibnamefont
|
||||
{Isham}},\ }\bibfield {title} {\bibinfo {title} {Canonical quantum gravity
|
||||
and the problem of time},\ }in\ \href
|
||||
{https://doi.org/10.1007/978-94-011-1980-1_6} {\emph {\bibinfo {booktitle}
|
||||
{Integrable Systems, Quantum Groups, and Quantum Field Theories}}}\ (\bibinfo
|
||||
{publisher} {Springer},\ \bibinfo {year} {1993})\ pp.\ \bibinfo {pages}
|
||||
{157--287}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Page}\ and\ \citenamefont
|
||||
{Wootters}(1983)}]{Page1983}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {D.~N.}\ \bibnamefont
|
||||
{Page}}\ and\ \bibinfo {author} {\bibfnamefont {W.~K.}\ \bibnamefont
|
||||
{Wootters}},\ }\bibfield {title} {\bibinfo {title} {Evolution without
|
||||
evolution: Dynamics described by stationary observables},\ }\href
|
||||
{https://doi.org/10.1103/PhysRevD.27.2885} {\bibfield {journal} {\bibinfo
|
||||
{journal} {Phys. Rev. D}\ }\textbf {\bibinfo {volume} {27}},\ \bibinfo
|
||||
{pages} {2885} (\bibinfo {year} {1983})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Rovelli}(1991)}]{Rovelli1991}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {C.}~\bibnamefont
|
||||
{Rovelli}},\ }\bibfield {title} {\bibinfo {title} {Quantum reference
|
||||
systems},\ }\href {https://doi.org/10.1088/0264-9381/8/2/012} {\bibfield
|
||||
{journal} {\bibinfo {journal} {Class. Quantum Grav.}\ }\textbf {\bibinfo
|
||||
{volume} {8}},\ \bibinfo {pages} {317} (\bibinfo {year} {1991})}\BibitemShut
|
||||
{NoStop}%
|
||||
\bibitem [{\citenamefont {Surya}(2019)}]{Surya2019}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
|
||||
{Surya}},\ }\bibfield {title} {\bibinfo {title} {The causal set approach to
|
||||
quantum gravity},\ }\href {https://doi.org/10.1007/s41114-019-0023-1}
|
||||
{\bibfield {journal} {\bibinfo {journal} {Living Rev. Relativ.}\ }\textbf
|
||||
{\bibinfo {volume} {22}},\ \bibinfo {pages} {5} (\bibinfo {year}
|
||||
{2019})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Cheeger}(1970)}]{Cheeger1970}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
|
||||
{Cheeger}},\ }\bibfield {title} {\bibinfo {title} {A lower bound for the
|
||||
smallest eigenvalue of the {Laplacian}},\ }\bibfield {booktitle} {\emph
|
||||
{\bibinfo {booktitle} {Problems in Analysis}},\ }\href@noop {} {\ ,\ \bibinfo
|
||||
{pages} {195} (\bibinfo {year} {1970})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Hoory}\ \emph {et~al.}(2006)\citenamefont {Hoory},
|
||||
\citenamefont {Linial},\ and\ \citenamefont {Wigderson}}]{Hoory2006}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
|
||||
{Hoory}}, \bibinfo {author} {\bibfnamefont {N.}~\bibnamefont {Linial}},\ and\
|
||||
\bibinfo {author} {\bibfnamefont {A.}~\bibnamefont {Wigderson}},\ }\bibfield
|
||||
{title} {\bibinfo {title} {Expander graphs and their applications},\ }\href
|
||||
{https://doi.org/10.1090/S0273-0979-06-01126-8} {\bibfield {journal}
|
||||
{\bibinfo {journal} {Bull. Amer. Math. Soc.}\ }\textbf {\bibinfo {volume}
|
||||
{43}},\ \bibinfo {pages} {439} (\bibinfo {year} {2006})}\BibitemShut
|
||||
{NoStop}%
|
||||
\bibitem [{\citenamefont {Winkler}(1985)}]{Winkler1985}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {P.~M.}\ \bibnamefont
|
||||
{Winkler}},\ }\bibfield {title} {\bibinfo {title} {Random orders},\ }\href
|
||||
{https://doi.org/10.1007/BF00582738} {\bibfield {journal} {\bibinfo
|
||||
{journal} {Order}\ }\textbf {\bibinfo {volume} {1}},\ \bibinfo {pages} {317}
|
||||
(\bibinfo {year} {1985})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Hayden}\ and\ \citenamefont
|
||||
{Preskill}(2007)}]{Hayden2007}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {P.}~\bibnamefont
|
||||
{Hayden}}\ and\ \bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
|
||||
{Preskill}},\ }\bibfield {title} {\bibinfo {title} {Black holes as mirrors:
|
||||
quantum information in random subsystems},\ }\href
|
||||
{https://doi.org/10.1088/1126-6708/2007/09/120} {\bibfield {journal}
|
||||
{\bibinfo {journal} {J. High Energy Phys.}\ }\textbf {\bibinfo {volume}
|
||||
{2007}}\bibinfo {number} { (09)},\ \bibinfo {pages} {120}}\BibitemShut
|
||||
{NoStop}%
|
||||
\bibitem [{\citenamefont {Sekino}\ and\ \citenamefont
|
||||
{Susskind}(2008)}]{Sekino2008}%
|
||||
\BibitemOpen
|
||||
\bibfield {number} { }\bibfield {author} {\bibinfo {author} {\bibfnamefont
|
||||
{Y.}~\bibnamefont {Sekino}}\ and\ \bibinfo {author} {\bibfnamefont
|
||||
{L.}~\bibnamefont {Susskind}},\ }\bibfield {title} {\bibinfo {title} {Fast
|
||||
scramblers},\ }\href {https://doi.org/10.1088/1126-6708/2008/10/065}
|
||||
{\bibfield {journal} {\bibinfo {journal} {J. High Energy Phys.}\ }\textbf
|
||||
{\bibinfo {volume} {2008}}\bibinfo {number} { (10)},\ \bibinfo {pages}
|
||||
{065}}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Alon}\ and\ \citenamefont {Milman}(1985)}]{Alon1985}%
|
||||
\BibitemOpen
|
||||
\bibfield {number} { }\bibfield {author} {\bibinfo {author} {\bibfnamefont
|
||||
{N.}~\bibnamefont {Alon}}\ and\ \bibinfo {author} {\bibfnamefont {V.~D.}\
|
||||
\bibnamefont {Milman}},\ }\bibfield {title} {\bibinfo {title} {$\lambda_1$,
|
||||
isoperimetric inequalities for graphs, and superconcentrators},\ }\href
|
||||
{https://doi.org/10.1016/0095-8956(85)90092-9} {\bibfield {journal}
|
||||
{\bibinfo {journal} {J. Combin. Theory B}\ }\textbf {\bibinfo {volume}
|
||||
{38}},\ \bibinfo {pages} {73} (\bibinfo {year} {1985})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Dodziuk}(1984)}]{Dodziuk1984}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
|
||||
{Dodziuk}},\ }\bibfield {title} {\bibinfo {title} {Difference equations,
|
||||
isoperimetric inequality and transience of certain random walks},\ }\href
|
||||
{https://doi.org/10.1090/S0002-9947-1984-0743744-X} {\bibfield {journal}
|
||||
{\bibinfo {journal} {Trans. Amer. Math. Soc.}\ }\textbf {\bibinfo {volume}
|
||||
{284}},\ \bibinfo {pages} {787} (\bibinfo {year} {1984})}\BibitemShut
|
||||
{NoStop}%
|
||||
\bibitem [{\citenamefont {Chung}(1997)}]{Chung1997}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {F.~R.~K.}\
|
||||
\bibnamefont {Chung}},\ }\href@noop {} {\emph {\bibinfo {title} {Spectral
|
||||
Graph Theory}}},\ \bibinfo {series} {CBMS Regional Conference Series in
|
||||
Mathematics}, Vol.~\bibinfo {volume} {92}\ (\bibinfo {publisher} {American
|
||||
Mathematical Society},\ \bibinfo {year} {1997})\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Lashkari}\ \emph {et~al.}(2013)\citenamefont
|
||||
{Lashkari}, \citenamefont {Stanford}, \citenamefont {Hastings}, \citenamefont
|
||||
{Osborne},\ and\ \citenamefont {Hayden}}]{Lashkari2013}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {N.}~\bibnamefont
|
||||
{Lashkari}}, \bibinfo {author} {\bibfnamefont {D.}~\bibnamefont {Stanford}},
|
||||
\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont {Hastings}}, \bibinfo
|
||||
{author} {\bibfnamefont {T.}~\bibnamefont {Osborne}},\ and\ \bibinfo {author}
|
||||
{\bibfnamefont {P.}~\bibnamefont {Hayden}},\ }\bibfield {title} {\bibinfo
|
||||
{title} {Towards the fast scrambling conjecture},\ }\href
|
||||
{https://doi.org/10.1007/JHEP04(2013)022} {\bibfield {journal} {\bibinfo
|
||||
{journal} {J. High Energy Phys.}\ }\textbf {\bibinfo {volume} {2013}}\bibinfo
|
||||
{number} { (4)},\ \bibinfo {pages} {22}}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Maldacena}\ \emph {et~al.}(2016)\citenamefont
|
||||
{Maldacena}, \citenamefont {Shenker},\ and\ \citenamefont
|
||||
{Stanford}}]{Maldacena2016}%
|
||||
\BibitemOpen
|
||||
\bibfield {number} { }\bibfield {author} {\bibinfo {author} {\bibfnamefont
|
||||
{J.}~\bibnamefont {Maldacena}}, \bibinfo {author} {\bibfnamefont {S.~H.}\
|
||||
\bibnamefont {Shenker}},\ and\ \bibinfo {author} {\bibfnamefont
|
||||
{D.}~\bibnamefont {Stanford}},\ }\bibfield {title} {\bibinfo {title} {A
|
||||
bound on chaos},\ }\href {https://doi.org/10.1007/JHEP08(2016)106} {\bibfield
|
||||
{journal} {\bibinfo {journal} {J. High Energy Phys.}\ }\textbf {\bibinfo
|
||||
{volume} {2016}}\bibinfo {number} { (8)},\ \bibinfo {pages}
|
||||
{106}}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Barlow}(2017)}]{Barlow2017}%
|
||||
\BibitemOpen
|
||||
\bibfield {number} { }\bibfield {author} {\bibinfo {author} {\bibfnamefont
|
||||
{M.~T.}\ \bibnamefont {Barlow}},\ }\href
|
||||
{https://doi.org/10.1017/9781107415690} {\emph {\bibinfo {title} {Random
|
||||
Walks and Heat Kernels on Graphs}}},\ \bibinfo {series} {LMS Lecture Note
|
||||
Series}, Vol.\ \bibinfo {volume} {438}\ (\bibinfo {publisher} {Cambridge
|
||||
University Press},\ \bibinfo {year} {2017})\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Mohar}(1991)}]{Mohar1991}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {B.}~\bibnamefont
|
||||
{Mohar}},\ }\bibfield {title} {\bibinfo {title} {The {Laplacian} spectrum of
|
||||
graphs},\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal} {Graph
|
||||
Theory, Combinatorics, and Applications}\ }\textbf {\bibinfo {volume} {2}},\
|
||||
\bibinfo {pages} {871} (\bibinfo {year} {1991})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {P{\'o}lya}(1921)}]{Polya1921}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {G.}~\bibnamefont
|
||||
{P{\'o}lya}},\ }\bibfield {title} {\bibinfo {title} {{\"U}ber eine {Aufgabe}
|
||||
der {Wahrscheinlichkeitsrechnung} betreffend die {Irrfahrt} im
|
||||
{Stra{\ss}ennetz}},\ }\href {https://doi.org/10.1007/BF01458701} {\bibfield
|
||||
{journal} {\bibinfo {journal} {Math. Ann.}\ }\textbf {\bibinfo {volume}
|
||||
{84}},\ \bibinfo {pages} {149} (\bibinfo {year} {1921})}\BibitemShut
|
||||
{NoStop}%
|
||||
\bibitem [{\citenamefont {Lawler}\ and\ \citenamefont
|
||||
{Limic}(2010)}]{Lawler2010}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {G.~F.}\ \bibnamefont
|
||||
{Lawler}}\ and\ \bibinfo {author} {\bibfnamefont {V.}~\bibnamefont {Limic}},\
|
||||
}\href {https://doi.org/10.1017/CBO9780511934837} {\emph {\bibinfo {title}
|
||||
{Random Walk: A Modern Introduction}}}\ (\bibinfo {publisher} {Cambridge
|
||||
University Press},\ \bibinfo {year} {2010})\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {'t~Hooft}(1993)}]{tHooft1993}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {G.}~\bibnamefont
|
||||
{'t~Hooft}},\ }\bibfield {title} {\bibinfo {title} {Dimensional reduction in
|
||||
quantum gravity},\ }\href@noop {} {\bibfield {journal} {\bibinfo {journal}
|
||||
{arXiv preprint gr-qc/9310026}\ } (\bibinfo {year} {1993})}\BibitemShut
|
||||
{NoStop}%
|
||||
\bibitem [{\citenamefont {Susskind}(1995)}]{Susskind1995}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {L.}~\bibnamefont
|
||||
{Susskind}},\ }\bibfield {title} {\bibinfo {title} {The world as a
|
||||
hologram},\ }\href {https://doi.org/10.1063/1.531249} {\bibfield {journal}
|
||||
{\bibinfo {journal} {J. Math. Phys.}\ }\textbf {\bibinfo {volume} {36}},\
|
||||
\bibinfo {pages} {6377} (\bibinfo {year} {1995})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Bousso}(2002)}]{Bousso2002}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {R.}~\bibnamefont
|
||||
{Bousso}},\ }\bibfield {title} {\bibinfo {title} {The holographic
|
||||
principle},\ }\href {https://doi.org/10.1103/RevModPhys.74.825} {\bibfield
|
||||
{journal} {\bibinfo {journal} {Rev. Mod. Phys.}\ }\textbf {\bibinfo {volume}
|
||||
{74}},\ \bibinfo {pages} {825} (\bibinfo {year} {2002})}\BibitemShut
|
||||
{NoStop}%
|
||||
\bibitem [{\citenamefont {Maldacena}(1999)}]{Maldacena1999}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {J.}~\bibnamefont
|
||||
{Maldacena}},\ }\bibfield {title} {\bibinfo {title} {The large-{N} limit of
|
||||
superconformal field theories and supergravity},\ }\href
|
||||
{https://doi.org/10.1023/A:1026654312961} {\bibfield {journal} {\bibinfo
|
||||
{journal} {Int. J. Theor. Phys.}\ }\textbf {\bibinfo {volume} {38}},\
|
||||
\bibinfo {pages} {1113} (\bibinfo {year} {1999})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Ryu}\ and\ \citenamefont
|
||||
{Takayanagi}(2006)}]{Ryu2006}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
|
||||
{Ryu}}\ and\ \bibinfo {author} {\bibfnamefont {T.}~\bibnamefont
|
||||
{Takayanagi}},\ }\bibfield {title} {\bibinfo {title} {Holographic derivation
|
||||
of entanglement entropy from the anti-de {Sitter} space/conformal field
|
||||
theory correspondence},\ }\href
|
||||
{https://doi.org/10.1103/PhysRevLett.96.181602} {\bibfield {journal}
|
||||
{\bibinfo {journal} {Phys. Rev. Lett.}\ }\textbf {\bibinfo {volume} {96}},\
|
||||
\bibinfo {pages} {181602} (\bibinfo {year} {2006})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Van~Raamsdonk}(2010)}]{VanRaamsdonk2010}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
|
||||
{Van~Raamsdonk}},\ }\bibfield {title} {\bibinfo {title} {Building up
|
||||
spacetime with quantum entanglement},\ }\href
|
||||
{https://doi.org/10.1007/s10714-010-1034-0} {\bibfield {journal} {\bibinfo
|
||||
{journal} {Gen. Relativ. Gravit.}\ }\textbf {\bibinfo {volume} {42}},\
|
||||
\bibinfo {pages} {2323} (\bibinfo {year} {2010})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Carlip}(2017)}]{Carlip2017}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {S.}~\bibnamefont
|
||||
{Carlip}},\ }\bibfield {title} {\bibinfo {title} {Dimension and dimensional
|
||||
reduction in quantum gravity},\ }\href
|
||||
{https://doi.org/10.1088/1361-6382/aa8535} {\bibfield {journal} {\bibinfo
|
||||
{journal} {Class. Quantum Grav.}\ }\textbf {\bibinfo {volume} {34}},\
|
||||
\bibinfo {pages} {193001} (\bibinfo {year} {2017})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Dowker}(2020)}]{Dowker2020}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {F.}~\bibnamefont
|
||||
{Dowker}},\ }\bibfield {title} {\bibinfo {title} {Being and becoming on the
|
||||
road to quantum gravity},\ }\href {https://doi.org/10.1098/rsta.2019.0239}
|
||||
{\bibfield {journal} {\bibinfo {journal} {Phil. Trans. R. Soc. A}\ }\textbf
|
||||
{\bibinfo {volume} {378}},\ \bibinfo {pages} {20190239} (\bibinfo {year}
|
||||
{2020})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Sorkin}(1994)}]{Sorkin1994}%
|
||||
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|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {R.~D.}\ \bibnamefont
|
||||
{Sorkin}},\ }\bibfield {title} {\bibinfo {title} {Quantum mechanics as
|
||||
quantum measure theory},\ }\href {https://doi.org/10.1142/S021773239400294X}
|
||||
{\bibfield {journal} {\bibinfo {journal} {Mod. Phys. Lett. A}\ }\textbf
|
||||
{\bibinfo {volume} {9}},\ \bibinfo {pages} {3119} (\bibinfo {year}
|
||||
{1994})}\BibitemShut {NoStop}%
|
||||
\bibitem [{\citenamefont {Gell-Mann}\ and\ \citenamefont
|
||||
{Hartle}(1993)}]{GellMann1993}%
|
||||
\BibitemOpen
|
||||
\bibfield {author} {\bibinfo {author} {\bibfnamefont {M.}~\bibnamefont
|
||||
{Gell-Mann}}\ and\ \bibinfo {author} {\bibfnamefont {J.~B.}\ \bibnamefont
|
||||
{Hartle}},\ }\bibfield {title} {\bibinfo {title} {Classical equations for
|
||||
quantum systems},\ }\href {https://doi.org/10.1103/PhysRevD.47.3345}
|
||||
{\bibfield {journal} {\bibinfo {journal} {Phys. Rev. D}\ }\textbf {\bibinfo
|
||||
{volume} {47}},\ \bibinfo {pages} {3345} (\bibinfo {year}
|
||||
{1993})}\BibitemShut {NoStop}%
|
||||
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|
||||
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|
||||
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||||
The top-level auxiliary file: paper_1a_physics_PRD.aux
|
||||
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|
||||
Reallocated singl_function (elt_size=4) to 100 items from 50.
|
||||
Reallocated singl_function (elt_size=4) to 100 items from 50.
|
||||
Reallocated singl_function (elt_size=4) to 100 items from 50.
|
||||
Reallocated singl_function (elt_size=4) to 100 items from 50.
|
||||
Reallocated singl_function (elt_size=4) to 100 items from 50.
|
||||
Reallocated singl_function (elt_size=4) to 100 items from 50.
|
||||
Reallocated singl_function (elt_size=4) to 100 items from 50.
|
||||
Reallocated wiz_functions (elt_size=4) to 6000 items from 3000.
|
||||
Reallocated singl_function (elt_size=4) to 100 items from 50.
|
||||
Database file #1: paper_1a_physics_PRDNotes.bib
|
||||
Database file #2: references_prd.bib
|
||||
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|
||||
Warning--jnrlst (dependency: not reversed) set 1
|
||||
Reallocated singl_function (elt_size=4) to 100 items from 50.
|
||||
Reallocated wiz_functions (elt_size=4) to 9000 items from 6000.
|
||||
apsrev4-2.bst 2019-01-14 (MD) hand-edited version of apsrev4-1.bst
|
||||
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|
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|
||||
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|
||||
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Control: year (1) truncated
|
||||
Control: production of eprint (0) enabled
|
||||
"J. High Energy Phys." is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"J. High Energ. Phys." is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"JHEP" is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"Journal of Cosmology and Astroparticle Physics" is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"J. Cosmol. Astropart. Phys." is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"JCAP" is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"Journal of Instrumentation" is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"J. Instrum." is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"JINST" is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"Journal of Statistical Mechanics" is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"J. of Stat. Mech." is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"J. Stat. Mech.: Theory Exp." is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
"JSTAT" is a string literal, `journal' is a missing field
|
||||
---they aren't the same literal types for entry Cheeger1970
|
||||
while executing---line 3515 of file apsrev4-2.bst
|
||||
Warning--missing journal in Cheeger1970
|
||||
You've used 44 entries,
|
||||
6079 wiz_defined-function locations,
|
||||
1956 strings with 21072 characters,
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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|
||||
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|
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
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||||
@CONTROL{REVTEX42Control}
|
||||
@CONTROL{apsrev42Control,author="08",editor="1",pages="0",title="0",year="1"}
|
||||
@@ -0,0 +1,492 @@
|
||||
% references_prd.bib
|
||||
% Bibliography for Armada 1 / PRD paper
|
||||
% Curated for Physical Review D / Classical and Quantum Gravity
|
||||
% =============================================================
|
||||
|
||||
% ---- Causal Set Theory Foundations ----
|
||||
|
||||
@article{Bombelli1987,
|
||||
author = {Bombelli, Luca and Lee, Joohan and Meyer, David and Sorkin, Rafael D},
|
||||
title = {Space-time as a causal set},
|
||||
journal = {Phys. Rev. Lett.},
|
||||
volume = {59},
|
||||
number = {5},
|
||||
pages = {521--524},
|
||||
year = {1987},
|
||||
doi = {10.1103/PhysRevLett.59.521}
|
||||
}
|
||||
|
||||
@incollection{Sorkin2003,
|
||||
author = {Sorkin, Rafael D},
|
||||
title = {Causal sets: Discrete gravity},
|
||||
booktitle = {Lectures on Quantum Gravity},
|
||||
pages = {305--327},
|
||||
publisher = {Springer},
|
||||
year = {2003},
|
||||
doi = {10.1007/0-387-24992-3_7}
|
||||
}
|
||||
|
||||
@article{Surya2012,
|
||||
author = {Surya, Sumati},
|
||||
title = {Evidence for the continuum in 2D causal set quantum gravity},
|
||||
journal = {Class. Quantum Grav.},
|
||||
volume = {29},
|
||||
number = {13},
|
||||
pages = {132001},
|
||||
year = {2012},
|
||||
doi = {10.1088/0264-9381/29/13/132001}
|
||||
}
|
||||
|
||||
@article{Surya2019,
|
||||
author = {Surya, Sumati},
|
||||
title = {The causal set approach to quantum gravity},
|
||||
journal = {Living Rev. Relativ.},
|
||||
volume = {22},
|
||||
number = {1},
|
||||
pages = {5},
|
||||
year = {2019},
|
||||
doi = {10.1007/s41114-019-0023-1}
|
||||
}
|
||||
|
||||
@article{Rideout2000,
|
||||
author = {Rideout, David P and Sorkin, Rafael D},
|
||||
title = {Classical sequential growth dynamics for causal sets},
|
||||
journal = {Phys. Rev. D},
|
||||
volume = {61},
|
||||
number = {2},
|
||||
pages = {024002},
|
||||
year = {2000},
|
||||
doi = {10.1103/PhysRevD.61.024002}
|
||||
}
|
||||
|
||||
@article{Sorkin1994,
|
||||
author = {Sorkin, Rafael D},
|
||||
title = {Quantum mechanics as quantum measure theory},
|
||||
journal = {Mod. Phys. Lett. A},
|
||||
volume = {9},
|
||||
number = {33},
|
||||
pages = {3119--3127},
|
||||
year = {1994},
|
||||
doi = {10.1142/S021773239400294X}
|
||||
}
|
||||
|
||||
@article{Sorkin2009,
|
||||
author = {Sorkin, Rafael D},
|
||||
title = {Scalar field theory on a causal set in histories form},
|
||||
journal = {J. Phys.: Conf. Ser.},
|
||||
volume = {306},
|
||||
pages = {012017},
|
||||
year = {2009},
|
||||
doi = {10.1088/1742-6596/306/1/012017}
|
||||
}
|
||||
|
||||
@article{Dowker2020,
|
||||
author = {Dowker, Fay},
|
||||
title = {Being and becoming on the road to quantum gravity},
|
||||
journal = {Phil. Trans. R. Soc. A},
|
||||
volume = {378},
|
||||
pages = {20190239},
|
||||
year = {2020},
|
||||
doi = {10.1098/rsta.2019.0239}
|
||||
}
|
||||
|
||||
@article{Carlip2023,
|
||||
author = {Carlip, Steven},
|
||||
title = {Causal sets: Overview and status},
|
||||
journal = {J. Phys.: Conf. Ser.},
|
||||
volume = {2533},
|
||||
pages = {012001},
|
||||
year = {2023},
|
||||
doi = {10.1088/1742-6596/2533/1/012001}
|
||||
}
|
||||
|
||||
% ---- Benincasa-Dowker Action & Dynamics ----
|
||||
|
||||
@article{Benincasa2010,
|
||||
author = {Benincasa, Dionigi M R and Dowker, Fay},
|
||||
title = {The Scalar Curvature of a Causal Set},
|
||||
journal = {Phys. Rev. Lett.},
|
||||
volume = {104},
|
||||
number = {18},
|
||||
pages = {181301},
|
||||
year = {2010},
|
||||
doi = {10.1103/PhysRevLett.104.181301}
|
||||
}
|
||||
|
||||
@article{Loomis2018,
|
||||
author = {Loomis, S and Carlip, Steven},
|
||||
title = {Suppression of non-manifold-like sets in the causal set path integral},
|
||||
journal = {Class. Quantum Grav.},
|
||||
volume = {35},
|
||||
number = {1},
|
||||
pages = {015009},
|
||||
year = {2018},
|
||||
doi = {10.1088/1361-6382/aa980b}
|
||||
}
|
||||
|
||||
@article{Glaser2018,
|
||||
author = {Glaser, Lisa and Surya, Sumati},
|
||||
title = {Finite size scaling in 2d causal set quantum gravity},
|
||||
journal = {Class. Quantum Grav.},
|
||||
volume = {35},
|
||||
number = {4},
|
||||
pages = {045006},
|
||||
year = {2018},
|
||||
doi = {10.1088/1361-6382/aa9540}
|
||||
}
|
||||
|
||||
@article{Cunningham2020,
|
||||
author = {Cunningham, William J and Surya, Sumati},
|
||||
title = {Dimensionally restricted causal set quantum gravity},
|
||||
journal = {Class. Quantum Grav.},
|
||||
volume = {37},
|
||||
pages = {054002},
|
||||
year = {2020},
|
||||
doi = {10.1088/1361-6382/ab60b7}
|
||||
}
|
||||
|
||||
% ---- Kleitman-Rothschild and Combinatorics ----
|
||||
|
||||
@article{Kleitman1975,
|
||||
author = {Kleitman, Daniel J and Rothschild, Bruce L},
|
||||
title = {Asymptotic enumeration of partial orders on a finite set},
|
||||
journal = {Trans. Amer. Math. Soc.},
|
||||
volume = {205},
|
||||
pages = {205--220},
|
||||
year = {1975},
|
||||
doi = {10.1090/S0002-9947-1975-0369090-9}
|
||||
}
|
||||
|
||||
@article{Brightwell1991,
|
||||
author = {Brightwell, Graham R},
|
||||
title = {Counting antichains in finite partially ordered sets},
|
||||
journal = {Order},
|
||||
volume = {8},
|
||||
number = {3},
|
||||
pages = {225--235},
|
||||
year = {1991},
|
||||
doi = {10.1007/BF00383444}
|
||||
}
|
||||
|
||||
@article{Winkler1985,
|
||||
author = {Winkler, Peter M},
|
||||
title = {Random orders},
|
||||
journal = {Order},
|
||||
volume = {1},
|
||||
number = {4},
|
||||
pages = {317--331},
|
||||
year = {1985},
|
||||
doi = {10.1007/BF00582738}
|
||||
}
|
||||
|
||||
@book{Bollobas2001,
|
||||
author = {Bollob\'as, B\'ela},
|
||||
title = {Random Graphs},
|
||||
edition = {2nd},
|
||||
publisher = {Cambridge University Press},
|
||||
year = {2001},
|
||||
doi = {10.1017/CBO9780511814068}
|
||||
}
|
||||
|
||||
% ---- Causal Structure and GR ----
|
||||
|
||||
@article{Malament1977,
|
||||
author = {Malament, David B},
|
||||
title = {The class of continuous timelike curves determines the topology of spacetime},
|
||||
journal = {J. Math. Phys.},
|
||||
volume = {18},
|
||||
pages = {1399--1404},
|
||||
year = {1977},
|
||||
doi = {10.1063/1.523436}
|
||||
}
|
||||
|
||||
@article{Hawking1976,
|
||||
author = {Hawking, S W and King, A R and McCarthy, P J},
|
||||
title = {A new topology for curved space--time which incorporates the causal, differential, and conformal structures},
|
||||
journal = {J. Math. Phys.},
|
||||
volume = {17},
|
||||
pages = {174--181},
|
||||
year = {1976},
|
||||
doi = {10.1063/1.522874}
|
||||
}
|
||||
|
||||
@book{Wald1984,
|
||||
author = {Wald, Robert M},
|
||||
title = {General Relativity},
|
||||
publisher = {University of Chicago Press},
|
||||
year = {1984},
|
||||
doi = {10.7208/chicago/9780226870373.001.0001}
|
||||
}
|
||||
|
||||
% ---- Quantum Gravity Foundations ----
|
||||
|
||||
@article{DeWitt1967,
|
||||
author = {DeWitt, Bryce S},
|
||||
title = {Quantum Theory of Gravity. {I}. {The} Canonical Theory},
|
||||
journal = {Phys. Rev.},
|
||||
volume = {160},
|
||||
pages = {1113--1148},
|
||||
year = {1967},
|
||||
doi = {10.1103/PhysRev.160.1113}
|
||||
}
|
||||
|
||||
@inproceedings{Isham1993,
|
||||
author = {Isham, Chris J},
|
||||
title = {Canonical quantum gravity and the problem of time},
|
||||
booktitle = {Integrable Systems, Quantum Groups, and Quantum Field Theories},
|
||||
pages = {157--287},
|
||||
publisher = {Springer},
|
||||
year = {1993},
|
||||
doi = {10.1007/978-94-011-1980-1_6}
|
||||
}
|
||||
|
||||
@article{Hartle1983,
|
||||
author = {Hartle, James B and Hawking, S W},
|
||||
title = {Wave function of the Universe},
|
||||
journal = {Phys. Rev. D},
|
||||
volume = {28},
|
||||
pages = {2960--2975},
|
||||
year = {1983},
|
||||
doi = {10.1103/PhysRevD.28.2960}
|
||||
}
|
||||
|
||||
@article{Page1983,
|
||||
author = {Page, Don N and Wootters, William K},
|
||||
title = {Evolution without evolution: Dynamics described by stationary observables},
|
||||
journal = {Phys. Rev. D},
|
||||
volume = {27},
|
||||
pages = {2885--2892},
|
||||
year = {1983},
|
||||
doi = {10.1103/PhysRevD.27.2885}
|
||||
}
|
||||
|
||||
@article{Rovelli1991,
|
||||
author = {Rovelli, Carlo},
|
||||
title = {Quantum reference systems},
|
||||
journal = {Class. Quantum Grav.},
|
||||
volume = {8},
|
||||
pages = {317--331},
|
||||
year = {1991},
|
||||
doi = {10.1088/0264-9381/8/2/012}
|
||||
}
|
||||
|
||||
% ---- Quantum Information and Scrambling ----
|
||||
|
||||
@article{Sekino2008,
|
||||
author = {Sekino, Yasuhiro and Susskind, Leonard},
|
||||
title = {Fast scramblers},
|
||||
journal = {J. High Energy Phys.},
|
||||
volume = {2008},
|
||||
number = {10},
|
||||
pages = {065},
|
||||
year = {2008},
|
||||
doi = {10.1088/1126-6708/2008/10/065}
|
||||
}
|
||||
|
||||
@article{Hayden2007,
|
||||
author = {Hayden, Patrick and Preskill, John},
|
||||
title = {Black holes as mirrors: quantum information in random subsystems},
|
||||
journal = {J. High Energy Phys.},
|
||||
volume = {2007},
|
||||
number = {09},
|
||||
pages = {120},
|
||||
year = {2007},
|
||||
doi = {10.1088/1126-6708/2007/09/120}
|
||||
}
|
||||
|
||||
@article{Lashkari2013,
|
||||
author = {Lashkari, Nima and Stanford, Douglas and Hastings, Matthew and Osborne, Tobias and Hayden, Patrick},
|
||||
title = {Towards the fast scrambling conjecture},
|
||||
journal = {J. High Energy Phys.},
|
||||
volume = {2013},
|
||||
number = {4},
|
||||
pages = {22},
|
||||
year = {2013},
|
||||
doi = {10.1007/JHEP04(2013)022}
|
||||
}
|
||||
|
||||
@article{Maldacena2016,
|
||||
author = {Maldacena, Juan and Shenker, Stephen H and Stanford, Douglas},
|
||||
title = {A bound on chaos},
|
||||
journal = {J. High Energy Phys.},
|
||||
volume = {2016},
|
||||
number = {8},
|
||||
pages = {106},
|
||||
year = {2016},
|
||||
doi = {10.1007/JHEP08(2016)106}
|
||||
}
|
||||
|
||||
% ---- Spectral Graph Theory ----
|
||||
|
||||
@book{Chung1997,
|
||||
author = {Chung, Fan R K},
|
||||
title = {Spectral Graph Theory},
|
||||
series = {CBMS Regional Conference Series in Mathematics},
|
||||
volume = {92},
|
||||
publisher = {American Mathematical Society},
|
||||
year = {1997}
|
||||
}
|
||||
|
||||
@article{Alon1985,
|
||||
author = {Alon, Noga and Milman, Vitali D},
|
||||
title = {$\lambda_1$, isoperimetric inequalities for graphs, and superconcentrators},
|
||||
journal = {J. Combin. Theory B},
|
||||
volume = {38},
|
||||
number = {1},
|
||||
pages = {73--88},
|
||||
year = {1985},
|
||||
doi = {10.1016/0095-8956(85)90092-9}
|
||||
}
|
||||
|
||||
@article{Dodziuk1984,
|
||||
author = {Dodziuk, J\'ozef},
|
||||
title = {Difference equations, isoperimetric inequality and transience of certain random walks},
|
||||
journal = {Trans. Amer. Math. Soc.},
|
||||
volume = {284},
|
||||
pages = {787--794},
|
||||
year = {1984},
|
||||
doi = {10.1090/S0002-9947-1984-0743744-X}
|
||||
}
|
||||
|
||||
@article{Cheeger1970,
|
||||
author = {Cheeger, Jeff},
|
||||
title = {A lower bound for the smallest eigenvalue of the {Laplacian}},
|
||||
booktitle = {Problems in Analysis},
|
||||
pages = {195--199},
|
||||
publisher = {Princeton University Press},
|
||||
year = {1970}
|
||||
}
|
||||
|
||||
@article{Hoory2006,
|
||||
author = {Hoory, Shlomo and Linial, Nathan and Wigderson, Avi},
|
||||
title = {Expander graphs and their applications},
|
||||
journal = {Bull. Amer. Math. Soc.},
|
||||
volume = {43},
|
||||
number = {4},
|
||||
pages = {439--561},
|
||||
year = {2006},
|
||||
doi = {10.1090/S0273-0979-06-01126-8}
|
||||
}
|
||||
|
||||
@article{Mohar1991,
|
||||
author = {Mohar, Bojan},
|
||||
title = {The {Laplacian} spectrum of graphs},
|
||||
journal = {Graph Theory, Combinatorics, and Applications},
|
||||
volume = {2},
|
||||
pages = {871--898},
|
||||
year = {1991}
|
||||
}
|
||||
|
||||
% ---- Random Walks and Recurrence ----
|
||||
|
||||
@article{Polya1921,
|
||||
author = {P{\'o}lya, George},
|
||||
title = {{\"U}ber eine {Aufgabe} der {Wahrscheinlichkeitsrechnung} betreffend die {Irrfahrt} im {Stra{\ss}ennetz}},
|
||||
journal = {Math. Ann.},
|
||||
volume = {84},
|
||||
pages = {149--160},
|
||||
year = {1921},
|
||||
doi = {10.1007/BF01458701}
|
||||
}
|
||||
|
||||
@book{Lawler2010,
|
||||
author = {Lawler, Gregory F and Limic, Vlada},
|
||||
title = {Random Walk: A Modern Introduction},
|
||||
publisher = {Cambridge University Press},
|
||||
year = {2010},
|
||||
doi = {10.1017/CBO9780511934837}
|
||||
}
|
||||
|
||||
@book{Barlow2017,
|
||||
author = {Barlow, Martin T},
|
||||
title = {Random Walks and Heat Kernels on Graphs},
|
||||
series = {LMS Lecture Note Series},
|
||||
volume = {438},
|
||||
publisher = {Cambridge University Press},
|
||||
year = {2017},
|
||||
doi = {10.1017/9781107415690}
|
||||
}
|
||||
|
||||
% ---- Holography and Dimensional Reduction ----
|
||||
|
||||
@article{tHooft1993,
|
||||
author = {'t Hooft, Gerard},
|
||||
title = {Dimensional reduction in quantum gravity},
|
||||
journal = {arXiv preprint gr-qc/9310026},
|
||||
year = {1993}
|
||||
}
|
||||
|
||||
@article{Susskind1995,
|
||||
author = {Susskind, Leonard},
|
||||
title = {The world as a hologram},
|
||||
journal = {J. Math. Phys.},
|
||||
volume = {36},
|
||||
pages = {6377--6396},
|
||||
year = {1995},
|
||||
doi = {10.1063/1.531249}
|
||||
}
|
||||
|
||||
@article{Maldacena1999,
|
||||
author = {Maldacena, Juan},
|
||||
title = {The large-{N} limit of superconformal field theories and supergravity},
|
||||
journal = {Int. J. Theor. Phys.},
|
||||
volume = {38},
|
||||
number = {4},
|
||||
pages = {1113--1133},
|
||||
year = {1999},
|
||||
doi = {10.1023/A:1026654312961}
|
||||
}
|
||||
|
||||
@article{Bousso2002,
|
||||
author = {Bousso, Raphael},
|
||||
title = {The holographic principle},
|
||||
journal = {Rev. Mod. Phys.},
|
||||
volume = {74},
|
||||
pages = {825--874},
|
||||
year = {2002},
|
||||
doi = {10.1103/RevModPhys.74.825}
|
||||
}
|
||||
|
||||
@article{Ryu2006,
|
||||
author = {Ryu, Shinsei and Takayanagi, Tadashi},
|
||||
title = {Holographic derivation of entanglement entropy from the anti-de {Sitter} space/conformal field theory correspondence},
|
||||
journal = {Phys. Rev. Lett.},
|
||||
volume = {96},
|
||||
pages = {181602},
|
||||
year = {2006},
|
||||
doi = {10.1103/PhysRevLett.96.181602}
|
||||
}
|
||||
|
||||
@article{VanRaamsdonk2010,
|
||||
author = {Van Raamsdonk, Mark},
|
||||
title = {Building up spacetime with quantum entanglement},
|
||||
journal = {Gen. Relativ. Gravit.},
|
||||
volume = {42},
|
||||
pages = {2323--2329},
|
||||
year = {2010},
|
||||
doi = {10.1007/s10714-010-1034-0}
|
||||
}
|
||||
|
||||
@article{Carlip2017,
|
||||
author = {Carlip, Steven},
|
||||
title = {Dimension and dimensional reduction in quantum gravity},
|
||||
journal = {Class. Quantum Grav.},
|
||||
volume = {34},
|
||||
number = {19},
|
||||
pages = {193001},
|
||||
year = {2017},
|
||||
doi = {10.1088/1361-6382/aa8535}
|
||||
}
|
||||
|
||||
% ---- Decoherent Histories ----
|
||||
|
||||
@article{GellMann1993,
|
||||
author = {Gell-Mann, Murray and Hartle, James B},
|
||||
title = {Classical equations for quantum systems},
|
||||
journal = {Phys. Rev. D},
|
||||
volume = {47},
|
||||
number = {8},
|
||||
pages = {3345},
|
||||
year = {1993},
|
||||
doi = {10.1103/PhysRevD.47.3345}
|
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}
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Reference in New Issue
Block a user