422 lines
9.8 KiB
BibTeX
422 lines
9.8 KiB
BibTeX
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%%% =====================================================================
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%%% REFERENCES FOR REFACTORED PAPER
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%%% Observer-Conditioned Path Integrals in Causal Set Theory
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%%% =====================================================================
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%%% --- Original references (retained and verified) ---
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journal={Transactions of the American Mathematical Society},
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year={1975}
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}
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@article{Loomis2018,
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title={Suppression of non-manifold-like sets in the causal set path integral},
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author={Loomis, S and Carlip, Steven},
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journal={Classical and Quantum Gravity},
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volume={35},
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pages={015009},
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year={2018},
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publisher={IOP Publishing}
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}
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@article{Bombelli1987,
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title={Space-time as a causal set},
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author={Bombelli, Luca and Lee, Joohan and Meyer, David and Sorkin, Rafael D},
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journal={Physical Review Letters},
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year={1987},
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publisher={APS}
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}
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@article{Benincasa2010,
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title={The Scalar Curvature of a Causal Set},
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author={Benincasa, Dionigi MR and Dowker, Fay},
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publisher={APS}
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}
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@article{Surya2019,
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title={The causal set approach to quantum gravity},
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author={Surya, Sumati},
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journal={Living Reviews in Relativity},
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volume={22},
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number={1},
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pages={5},
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year={2019},
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publisher={Springer}
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}
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@article{Sekino2008,
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title={Fast scramblers},
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author={Sekino, Yasuhiro and Susskind, Leonard},
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pages={065},
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year={2008},
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publisher={IOP Publishing}
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}
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@article{Bousso1999,
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publisher={IOP Publishing}
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}
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%%% --- New references for the refactored paper ---
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@incollection{Sorkin2003,
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title={Causal sets: Discrete gravity},
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author={Sorkin, Rafael D},
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booktitle={Lectures on Quantum Gravity},
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pages={305--327},
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year={2003},
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publisher={Springer}
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}
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@article{Sorkin2009,
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title={Scalar field theory on a causal set in histories form},
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author={Sorkin, Rafael D},
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journal={Journal of Physics: Conference Series},
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volume={306},
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pages={012017},
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year={2009},
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publisher={IOP Publishing}
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}
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@article{Sorkin1994,
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title={Quantum mechanics as quantum measure theory},
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author={Sorkin, Rafael D},
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journal={Modern Physics Letters A},
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@article{Brightwell1991,
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title={Counting antichains in finite partially ordered sets},
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author={Brightwell, Graham R},
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journal={Order},
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publisher={Springer}
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}
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@article{Rideout2000,
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title={Classical sequential growth dynamics for causal sets},
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author={Rideout, David P and Sorkin, Rafael D},
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journal={Physical Review D},
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volume={61},
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year={2000},
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publisher={APS}
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}
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@article{Glaser2018,
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title={Finite size scaling in 2d causal set quantum gravity},
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author={Glaser, Lisa and Surya, Sumati},
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journal={Classical and Quantum Gravity},
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volume={35},
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number={4},
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pages={045006},
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year={2018},
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publisher={IOP Publishing}
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}
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@article{Dowker2020,
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title={Being and becoming on the road to quantum gravity; or, the birth of a baby is not a baby},
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author={Dowker, Fay},
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journal={Philosophical Transactions of the Royal Society A},
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volume={378},
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pages={20190239},
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year={2020}
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}
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@article{Carlip2023,
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title={Causal sets: Overview and status},
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author={Carlip, Steven},
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journal={Journal of Physics: Conference Series},
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volume={2533},
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pages={012001},
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year={2023}
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}
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@book{Wald1984,
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title={General Relativity},
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author={Wald, Robert M},
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year={1984},
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publisher={University of Chicago Press}
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}
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@article{Hayden2007,
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title={Black holes as mirrors: quantum information in random subsystems},
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author={Hayden, Patrick and Preskill, John},
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journal={Journal of High Energy Physics},
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volume={2007},
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number={09},
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pages={120},
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year={2007},
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publisher={Springer}
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}
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@article{Lashkari2013,
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title={Towards the fast scrambling conjecture},
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author={Lashkari, Nima and Stanford, Douglas and Hastings, Matthew and Osborne, Tobias and Hayden, Patrick},
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journal={Journal of High Energy Physics},
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volume={2013},
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number={4},
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pages={22},
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year={2013},
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publisher={Springer}
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}
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@article{Hoory2006,
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title={Expander graphs and their applications},
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author={Hoory, Shlomo and Linial, Nathan and Wigderson, Avi},
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journal={Bulletin of the American Mathematical Society},
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year={2006}
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}
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title={Spectral Graph Theory},
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title={{\"U}ber eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Stra{\ss}ennetz},
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author={P{\'o}lya, George},
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title={Random orders},
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author={Winkler, Peter M},
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journal={Order},
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title={Random Graphs},
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author={Bollob{\'a}s, B{\'e}la},
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year={2001},
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title={Dimensional reduction in quantum gravity},
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title={The large-{N} limit of superconformal field theories and supergravity},
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author={Maldacena, Juan},
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journal={International Journal of Theoretical Physics},
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@article{Carlip2017,
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title={Dimension and dimensional reduction in quantum gravity},
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author={Carlip, Steven},
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journal={Classical and Quantum Gravity},
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volume={34},
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number={19},
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year={2017},
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publisher={IOP Publishing}
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}
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@article{Calcagni2017,
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title={Multifractional theories: an unconventional review},
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author={Calcagni, Gianluca},
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journal={Journal of High Energy Physics},
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volume={2017},
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number={3},
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pages={138},
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year={2017},
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publisher={Springer}
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}
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@article{Kitaev2015,
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title={A simple model of quantum holography},
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author={Kitaev, Alexei},
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journal={KITP Program: Entanglement in Strongly-Correlated Quantum Matter},
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year={2015},
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note={Talks at KITP, April 7 and May 27, 2015}
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}
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@article{Maldacena2016,
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title={A bound on chaos},
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author={Maldacena, Juan and Shenker, Stephen H and Stanford, Douglas},
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journal={Journal of High Energy Physics},
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volume={2016},
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number={8},
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pages={106},
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year={2016},
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publisher={Springer}
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}
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@article{Roberts2015,
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title={Localized shocks},
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author={Roberts, Daniel A and Stanford, Douglas and Susskind, Leonard},
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journal={Journal of High Energy Physics},
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volume={2015},
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number={3},
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pages={51},
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year={2015},
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publisher={Springer}
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}
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@article{Bousso2006,
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title={Holographic probabilities in eternal inflation},
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author={Bousso, Raphael},
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journal={Physical Review Letters},
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volume={97},
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year={2006},
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publisher={APS}
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}
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@article{Hartle2016,
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title={The quasiclassical realms of this quantum universe},
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author={Hartle, James B},
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journal={Foundations of Physics},
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volume={41},
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}
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@article{Gell-Mann1993,
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title={Classical equations for quantum systems},
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author={Gell-Mann, Murray and Hartle, James B},
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journal={Physical Review D},
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publisher={APS}
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}
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@book{Griffiths2002,
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title={Consistent Quantum Theory},
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author={Griffiths, Robert B},
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publisher={Cambridge University Press}
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}
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@book{Omnes1994,
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title={Random walks and heat kernels on graphs},
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author={Barlow, Martin T},
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journal={London Mathematical Society Lecture Note Series},
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publisher={Cambridge University Press}
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@article{Coulhon2003,
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title={Heat kernel estimates and the Green function on infinite graphs},
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pages={763--788},
|
||
|
|
year={2003}
|
||
|
|
}
|
||
|
|
|
||
|
|
@article{Mohar1991,
|
||
|
|
title={The Laplacian spectrum of graphs},
|
||
|
|
author={Mohar, Bojan},
|
||
|
|
journal={Graph Theory, Combinatorics, and Applications},
|
||
|
|
volume={2},
|
||
|
|
pages={871--898},
|
||
|
|
year={1991}
|
||
|
|
}
|