@article{WissnerGross2013,
  author  = {Wissner-Gross, A. D. and Freer, C. E.},
  title   = {Causal Entropic Forces},
  journal = {Phys. Rev. Lett.},
  volume  = {110},
  pages   = {168702},
  year    = {2013},
  doi     = {10.1103/PhysRevLett.110.168702}
}

@article{Creutz1983,
  author  = {Creutz, M.},
  title   = {Microcanonical {M}onte {C}arlo Simulation},
  journal = {Phys. Rev. Lett.},
  volume  = {50},
  pages   = {1411--1414},
  year    = {1983},
  doi     = {10.1103/PhysRevLett.50.1411}
}

@article{Vichniac1984,
  author  = {Vichniac, G. Y.},
  title   = {Simulating physics with cellular automata},
  journal = {Physica D},
  volume  = {10},
  pages   = {96--116},
  year    = {1984},
  doi     = {10.1016/0167-2789(84)90253-7}
}

@article{Schnakenberg1976,
  author  = {Schnakenberg, J.},
  title   = {Network theory of microscopic and macroscopic behavior of master equation systems},
  journal = {Rev. Mod. Phys.},
  volume  = {48},
  pages   = {571--585},
  year    = {1976},
  doi     = {10.1103/RevModPhys.48.571}
}

@article{Seifert2012,
  author  = {Seifert, U.},
  title   = {Stochastic thermodynamics, fluctuation theorems and molecular machines},
  journal = {Rep. Prog. Phys.},
  volume  = {75},
  pages   = {126001},
  year    = {2012},
  doi     = {10.1088/0034-4885/75/12/126001}
}

@article{Burda2009,
  author  = {Burda, Z. and Duda, J. and Luck, J. M. and Waclaw, B.},
  title   = {Localization of the Maximal Entropy Random Walk},
  journal = {Phys. Rev. Lett.},
  volume  = {102},
  pages   = {160602},
  year    = {2009},
  doi     = {10.1103/PhysRevLett.102.160602}
}

@article{Presse2013,
  author  = {Press\'e, S. and Ghosh, K. and Lee, J. and Dill, K. A.},
  title   = {Principles of maximum entropy and maximum caliber in statistical physics},
  journal = {Rev. Mod. Phys.},
  volume  = {85},
  pages   = {1115--1141},
  year    = {2013},
  doi     = {10.1103/RevModPhys.85.1115}
}

@inproceedings{Klyubin2005,
  author    = {Klyubin, A. S. and Polani, D. and Nehaniv, C. L.},
  title     = {Empowerment: A Universal Agent-Centric Measure of Control},
  booktitle = {Proceedings of the IEEE Congress on Evolutionary Computation},
  volume    = {1},
  address   = {Edinburgh},
  pages     = {128--135},
  year      = {2005},
  doi       = {10.1109/CEC.2005.1554676}
}

@article{ParkNewman2004,
  author  = {Park, J. and Newman, M. E. J.},
  title   = {Statistical mechanics of networks},
  journal = {Phys. Rev. E},
  volume  = {70},
  pages   = {066117},
  year    = {2004},
  doi     = {10.1103/PhysRevE.70.066117}
}

@article{BarabasiAlbert1999,
  author  = {Barab\'asi, A.-L. and Albert, R.},
  title   = {Emergence of Scaling in Random Networks},
  journal = {Science},
  volume  = {286},
  pages   = {509--512},
  year    = {1999},
  doi     = {10.1126/science.286.5439.509}
}

@article{Szilard1929,
  author  = {Szilard, L.},
  title   = {\"{U}ber die {E}ntropieverminderung in einem thermodynamischen {S}ystem bei {E}ingriffen intelligenter {W}esen},
  journal = {Z. Phys.},
  volume  = {53},
  pages   = {840--856},
  year    = {1929},
  doi     = {10.1007/BF01341281}
}

@article{Landauer1961,
  author  = {Landauer, R.},
  title   = {Irreversibility and Heat Generation in the Computing Process},
  journal = {IBM J. Res. Dev.},
  volume  = {5},
  pages   = {183--191},
  year    = {1961},
  doi     = {10.1147/rd.53.0183}
}

@article{SagawaUeda2012,
  author  = {Sagawa, T. and Ueda, M.},
  title   = {Fluctuation Theorem with Information Exchange: Role of Correlations in Stochastic Thermodynamics},
  journal = {Phys. Rev. Lett.},
  volume  = {109},
  pages   = {180602},
  year    = {2012},
  doi     = {10.1103/PhysRevLett.109.180602}
}

@book{Flory1969,
  author    = {Flory, P. J.},
  title     = {Statistical Mechanics of Chain Molecules},
  publisher = {Interscience},
  address   = {New York},
  year      = {1969}
}

@book{KemenySnell1960,
  author    = {Kemeny, J. G. and Snell, J. L.},
  title     = {Finite {M}arkov Chains},
  publisher = {Van Nostrand},
  address   = {Princeton},
  year      = {1960}
}

@misc{CALXTHERM,
  author       = {{Xyphers Research}},
  title        = {Xypher operational thermodynamics: boundary, exact result, and verifier ({CAL-XTHERM})},
  year         = {2026},
  howpublished = {\url{https://xyphers.com/evidence/thermodynamics/RESULT.md}},
  note         = {Source: \url{https://github.com/Valhaim/xyphers/tree/main/research/code/xypher-thermodynamics-proof}}
}

@misc{CALCEF,
  author       = {{Xyphers Research}},
  title        = {Causal entropic thermodynamics: preregistered boundary, result record, verifier, and expected report ({CAL-CEF-1})},
  year         = {2026},
  howpublished = {\url{https://github.com/Valhaim/xyphers/tree/main/research/evidence/causal-entropic}},
  note         = {Also served at \url{https://xyphers.com/evidence/causal-entropic/README.txt}}
}

@article{FortuinKasteleyn1972,
  author  = {Fortuin, C. M. and Kasteleyn, P. W.},
  title   = {On the random-cluster model},
  journal = {Physica},
  volume  = {57},
  pages   = {536--564},
  year    = {1972},
  doi     = {10.1016/0031-8914(72)90045-6}
}

@article{EdwardsSokal1988,
  author  = {Edwards, R. G. and Sokal, A. D.},
  title   = {Generalization of the {F}ortuin-{K}asteleyn-{S}wendsen-{W}ang representation and {M}onte {C}arlo algorithm},
  journal = {Phys. Rev. D},
  volume  = {38},
  pages   = {2009--2012},
  year    = {1988},
  doi     = {10.1103/PhysRevD.38.2009}
}

@book{Comets2017,
  author    = {Comets, F.},
  title     = {Directed Polymers in Random Environments},
  series    = {Lecture Notes in Mathematics},
  volume    = {2175},
  publisher = {Springer},
  address   = {Cham},
  year      = {2017},
  doi       = {10.1007/978-3-319-50487-2}
}

@article{FrankStrauss1986,
  author  = {Frank, O. and Strauss, D.},
  title   = {Markov Graphs},
  journal = {J. Am. Stat. Assoc.},
  volume  = {81},
  pages   = {832--842},
  year    = {1986},
  doi     = {10.1080/01621459.1986.10478342}
}

@article{Katz1953,
  author  = {Katz, L.},
  title   = {A New Status Index Derived from Sociometric Analysis},
  journal = {Psychometrika},
  volume  = {18},
  pages   = {39--43},
  year    = {1953},
  doi     = {10.1007/BF02289026}
}

@article{EstradaHatano2008,
  author  = {Estrada, E. and Hatano, N.},
  title   = {Communicability in complex networks},
  journal = {Phys. Rev. E},
  volume  = {77},
  pages   = {036111},
  year    = {2008},
  doi     = {10.1103/PhysRevE.77.036111}
}

@article{Parry1964,
  author  = {Parry, W.},
  title   = {Intrinsic {M}arkov chains},
  journal = {Trans. Am. Math. Soc.},
  volume  = {112},
  pages   = {55--66},
  year    = {1964},
  doi     = {10.1090/S0002-9947-1964-0161372-1}
}

@article{Salge2014,
  author  = {Salge, C. and Glackin, C. and Polani, D.},
  title   = {Changing the Environment Based on Empowerment as Intrinsic Motivation},
  journal = {Entropy},
  volume  = {16},
  pages   = {2789--2819},
  year    = {2014},
  doi     = {10.3390/e16052789}
}

@article{Klyubin2008,
  author  = {Klyubin, A. S. and Polani, D. and Nehaniv, C. L.},
  title   = {Keep Your Options Open: An Information-Based Driving Principle for Sensorimotor Systems},
  journal = {PLoS ONE},
  volume  = {3},
  pages   = {e4018},
  year    = {2008},
  doi     = {10.1371/journal.pone.0004018}
}

@article{Kappen2005,
  author  = {Kappen, H. J.},
  title   = {Linear Theory for Control of Nonlinear Stochastic Systems},
  journal = {Phys. Rev. Lett.},
  volume  = {95},
  pages   = {200201},
  year    = {2005},
  doi     = {10.1103/PhysRevLett.95.200201}
}

@article{Todorov2009,
  author  = {Todorov, E.},
  title   = {Efficient computation of optimal actions},
  journal = {Proc. Natl. Acad. Sci. USA},
  volume  = {106},
  pages   = {11478--11483},
  year    = {2009},
  doi     = {10.1073/pnas.0710743106}
}

@misc{Kappen2013,
  author        = {Kappen, H. J.},
  title         = {Comment: Causal entropic forces},
  year          = {2013},
  eprint        = {1312.4185},
  archivePrefix = {arXiv}
}

@misc{Canessa2013,
  author        = {Canessa, E.},
  title         = {Comment on {P}hys. {R}ev. {L}ett. 110, 168702 (2013): Causal Entropic Forces},
  year          = {2013},
  eprint        = {1308.4375},
  archivePrefix = {arXiv}
}

@article{CharlesworthTurner2019,
  author  = {Charlesworth, H. J. and Turner, M. S.},
  title   = {Intrinsically motivated collective motion},
  journal = {Proc. Natl. Acad. Sci. USA},
  volume  = {116},
  pages   = {15362--15367},
  year    = {2019},
  doi     = {10.1073/pnas.1822069116}
}

@article{RamirezRuiz2024,
  author  = {Ram\'irez-Ruiz, J. and Grytskyy, D. and Mastrogiuseppe, C. and Habib, Y. and Moreno-Bote, R.},
  title   = {Complex behavior from intrinsic motivation to occupy future action-state path space},
  journal = {Nat. Commun.},
  volume  = {15},
  pages   = {6368},
  year    = {2024},
  doi     = {10.1038/s41467-024-49711-1}
}

@article{MannGarnett2015,
  author  = {Mann, R. P. and Garnett, R.},
  title   = {The entropic basis of collective behaviour},
  journal = {J. R. Soc. Interface},
  volume  = {12},
  pages   = {20150037},
  year    = {2015},
  doi     = {10.1098/rsif.2015.0037}
}

@article{Hornischer2019,
  author  = {Hornischer, H. and Herminghaus, S. and Mazza, M. G.},
  title   = {Structural transition in the collective behavior of cognitive agents},
  journal = {Sci. Rep.},
  volume  = {9},
  pages   = {12477},
  year    = {2019},
  doi     = {10.1038/s41598-019-48638-8}
}

@inproceedings{Turner2019,
  author        = {Turner, A. M. and Smith, L. and Shah, R. and Critch, A. and Tadepalli, P.},
  title         = {Optimal Policies Tend To Seek Power},
  booktitle     = {Advances in Neural Information Processing Systems 34 (NeurIPS 2021)},
  year          = {2021},
  eprint        = {1912.01683},
  archivePrefix = {arXiv}
}

@incollection{SalgeIntro2014,
  author    = {Salge, C. and Glackin, C. and Polani, D.},
  title     = {Empowerment--An Introduction},
  booktitle = {Guided Self-Organization: Inception},
  editor    = {Prokopenko, M.},
  publisher = {Springer},
  address   = {Berlin, Heidelberg},
  pages     = {67--114},
  year      = {2014},
  doi       = {10.1007/978-3-642-53734-9_4}
}

@article{Perunov2016,
  author  = {Perunov, N. and Marsland, R. A. and England, J. L.},
  title   = {Statistical Physics of Adaptation},
  journal = {Phys. Rev. X},
  volume  = {6},
  pages   = {021036},
  year    = {2016},
  doi     = {10.1103/PhysRevX.6.021036}
}

@article{Vazquez2003,
  author  = {V\'azquez, A.},
  title   = {Growing network with local rules: Preferential attachment, clustering hierarchy, and degree correlations},
  journal = {Phys. Rev. E},
  volume  = {67},
  pages   = {056104},
  year    = {2003},
  doi     = {10.1103/PhysRevE.67.056104}
}

@article{SaramakiKaski2004,
  author  = {Saram\"aki, J. and Kaski, K.},
  title   = {Scale-free networks generated by random walkers},
  journal = {Physica A},
  volume  = {341},
  pages   = {80--86},
  year    = {2004},
  doi     = {10.1016/j.physa.2004.04.110}
}

@article{SagawaUeda2009,
  author  = {Sagawa, T. and Ueda, M.},
  title   = {Minimal Energy Cost for Thermodynamic Information Processing: Measurement and Information Erasure},
  journal = {Phys. Rev. Lett.},
  volume  = {102},
  pages   = {250602},
  year    = {2009},
  doi     = {10.1103/PhysRevLett.102.250602}
}

@article{TouchetteLloyd2000,
  author  = {Touchette, H. and Lloyd, S.},
  title   = {Information-Theoretic Limits of Control},
  journal = {Phys. Rev. Lett.},
  volume  = {84},
  pages   = {1156--1159},
  year    = {2000},
  doi     = {10.1103/PhysRevLett.84.1156}
}

@article{Parrondo2015,
  author  = {Parrondo, J. M. R. and Horowitz, J. M. and Sagawa, T.},
  title   = {Thermodynamics of information},
  journal = {Nat. Phys.},
  volume  = {11},
  pages   = {131--139},
  year    = {2015},
  doi     = {10.1038/nphys3230}
}

@article{GoldtSeifert2017,
  author  = {Goldt, S. and Seifert, U.},
  title   = {Stochastic Thermodynamics of Learning},
  journal = {Phys. Rev. Lett.},
  volume  = {118},
  pages   = {010601},
  year    = {2017},
  doi     = {10.1103/PhysRevLett.118.010601}
}

@article{ChatterjeeDiaconis2013,
  author  = {Chatterjee, S. and Diaconis, P.},
  title   = {Estimating and understanding exponential random graph models},
  journal = {Ann. Stat.},
  volume  = {41},
  pages   = {2428--2461},
  year    = {2013},
  doi     = {10.1214/13-AOS1155}
}

@article{Pomeau1984,
  author  = {Pomeau, Y.},
  title   = {Invariant in cellular automata},
  journal = {J. Phys. A},
  volume  = {17},
  pages   = {L415--L418},
  year    = {1984},
  doi     = {10.1088/0305-4470/17/8/004}
}

@article{Maes2021,
  author  = {Maes, C.},
  title   = {Local detailed balance},
  journal = {SciPost Phys. Lect. Notes},
  pages   = {32},
  year    = {2021},
  doi     = {10.21468/SciPostPhysLectNotes.32}
}

@misc{CFPACKET,
  author       = {{Xyphers Research}},
  title        = {Committed futures as microstates: manuscript source and exact checks},
  year         = {2026},
  howpublished = {\url{https://github.com/Valhaim/xyphers/tree/main/research/evidence/committed-futures}},
  note         = {Also served at \url{https://xyphers.com/evidence/committed-futures/README.txt}}
}