@article{Kalikow1981,
  author = {Kalikow, Steven A.},
  title = {Generalized Random Walk in a Random Environment},
  journal = {The Annals of Probability},
  volume = {9},
  number = {5},
  pages = {753--768},
  year = {1981},
  doi = {10.1214/aop/1176994306}
}

@article{SznitmanZerner1999,
  author = {Sznitman, Alain-Sol and Zerner, Martin},
  title = {A law of large numbers for random walks in random environment},
  journal = {The Annals of Probability},
  volume = {27},
  number = {4},
  pages = {1851--1869},
  year = {1999},
  doi = {10.1214/aop/1022874818}
}

@article{ZernerMerkl2001,
  author = {Zerner, Martin P. W. and Merkl, Franz},
  title = {A zero-one law for planar random walks in random environment},
  journal = {The Annals of Probability},
  volume = {29},
  number = {4},
  pages = {1716--1732},
  year = {2001},
  doi = {10.1214/aop/1015345769}
}

@article{BramsonZeitouniZerner2006,
  author = {Bramson, Maury and Zeitouni, Ofer and Zerner, Martin P. W.},
  title = {Shortest spanning trees and a counterexample for random walks in random environments},
  journal = {The Annals of Probability},
  volume = {34},
  number = {3},
  pages = {821--856},
  year = {2006},
  doi = {10.1214/009117905000000783},
  eprint = {math/0501533},
  archivePrefix = {arXiv}
}

@article{Zerner2007,
  author = {Zerner, Martin P. W.},
  title = {The zero-one law for planar random walks in {i.i.d.} random environments revisited},
  journal = {Electronic Communications in Probability},
  volume = {12},
  pages = {326--335},
  year = {2007},
  doi = {10.1214/ECP.v12-1314},
  eprint = {0706.0745},
  archivePrefix = {arXiv}
}

@article{Simenhaus2007,
  author = {Simenhaus, Fran{\c c}ois},
  title = {Asymptotic direction for random walks in random environments},
  journal = {Annales de l'Institut Henri Poincar{\'e}, Probabilit{\'e}s et Statistiques},
  volume = {43},
  number = {6},
  pages = {751--761},
  year = {2007},
  doi = {10.1016/j.anihpb.2006.10.003}
}

@article{Berger2008,
  author = {Berger, Noam},
  title = {Limiting velocity of high-dimensional random walk in random environment},
  journal = {The Annals of Probability},
  volume = {36},
  number = {2},
  pages = {728--738},
  year = {2008},
  doi = {10.1214/07-AOP338},
  eprint = {math/0601656},
  archivePrefix = {arXiv}
}

@article{DrewitzRamirez2010,
  author = {Drewitz, Alexander and Ram{\'i}rez, Alejandro F.},
  title = {Asymptotic direction in random walks in random environment revisited},
  journal = {Brazilian Journal of Probability and Statistics},
  volume = {24},
  number = {2},
  pages = {212--225},
  year = {2010},
  doi = {10.1214/09-BJPS028},
  eprint = {0902.1115},
  archivePrefix = {arXiv}
}

@article{SabotTournier2011,
  author = {Sabot, Christophe and Tournier, Laurent},
  title = {Reversed {Dirichlet} environment and directional transience of random walks in {Dirichlet} environment},
  journal = {Annales de l'Institut Henri Poincar{\'e}, Probabilit{\'e}s et Statistiques},
  volume = {47},
  number = {1},
  pages = {1--8},
  year = {2011},
  doi = {10.1214/09-AIHP344}
}

@article{Bouchet2013,
  author = {Bouchet, {\'E}lodie},
  title = {Sub-ballistic random walk in {Dirichlet} environment},
  journal = {Electronic Journal of Probability},
  volume = {18},
  number = {58},
  pages = {1--25},
  year = {2013},
  doi = {10.1214/EJP.v18-2109},
  eprint = {1205.5709},
  archivePrefix = {arXiv}
}

@article{Tournier2015,
  author = {Tournier, Laurent},
  title = {Asymptotic direction of random walks in {Dirichlet} environment},
  journal = {Annales de l'Institut Henri Poincar{\'e}, Probabilit{\'e}s et Statistiques},
  volume = {51},
  number = {2},
  pages = {716--726},
  year = {2015},
  doi = {10.1214/13-AIHP582},
  eprint = {1205.6199},
  archivePrefix = {arXiv}
}

@article{Slonim2024,
  author = {Slonim, Daniel J.},
  title = {Directional transience of random walks in random environments with bounded jumps},
  journal = {ALEA, Latin American Journal of Probability and Mathematical Statistics},
  volume = {21},
  pages = {701--724},
  year = {2024},
  doi = {10.30757/ALEA.v21-27},
  eprint = {2108.11424},
  archivePrefix = {arXiv}
}

@article{AlexanderBerger2016,
  author = {Alexander, Kenneth S. and Berger, Quentin},
  title = {Local asymptotics for the first intersection of two independent renewals},
  journal = {Electronic Journal of Probability},
  volume = {21},
  number = {68},
  pages = {1--20},
  year = {2016},
  doi = {10.1214/16-EJP17},
  eprint = {1603.05531},
  archivePrefix = {arXiv}
}

@article{Shannon1948,
  author = {Shannon, Claude E.},
  title = {A mathematical theory of communication},
  journal = {The Bell System Technical Journal},
  volume = {27},
  pages = {379--423, 623--656},
  year = {1948},
  url = {https://people.math.harvard.edu/~ctm/home/text/others/shannon/entropy/entropy.pdf}
}

@article{KullbackLeibler1951,
  author = {Kullback, Solomon and Leibler, Richard A.},
  title = {On information and sufficiency},
  journal = {The Annals of Mathematical Statistics},
  volume = {22},
  number = {1},
  pages = {79--86},
  year = {1951},
  doi = {10.1214/aoms/1177729694}
}

@incollection{Kikuchi1992,
  author = {Kikuchi, Masato},
  title = {A note on the energy inequalities for increasing processes},
  booktitle = {S{\'e}minaire de Probabilit{\'e}s {XXVI}},
  series = {Lecture Notes in Mathematics},
  volume = {1526},
  pages = {533--539},
  publisher = {Springer},
  address = {Berlin},
  year = {1992},
  url = {https://www.numdam.org/article/SPS_1992__26__533_0.pdf}
}

@misc{KesselheimMolinaroPattonSingla2026,
  author = {Kesselheim, Thomas and Molinaro, Marco and Patton, Kalen and Singla, Sahil},
  title = {Online algorithms via minimax and posterior matching},
  year = {2026},
  eprint = {2608.01616},
  archivePrefix = {arXiv},
  note = {Version 1, August 2026},
  url = {https://arxiv.org/abs/2608.01616v1}
}

@book{Ville1939,
  author = {Ville, Jean},
  title = {{\'E}tude critique de la notion de collectif},
  publisher = {Gauthier-Villars},
  address = {Paris},
  year = {1939},
  url = {https://www.numdam.org/issue/THESE_1939__218__1_0.pdf}
}

@article{Garsia1965,
  author = {Garsia, Adriano M.},
  title = {A simple proof of {E. Hopf}'s maximal ergodic theorem},
  journal = {Journal of Mathematics and Mechanics},
  volume = {14},
  number = {3},
  pages = {381--382},
  year = {1965},
  url = {https://iumj.s3-us-west-2.amazonaws.com/abstracts/14027_abs.pdf}
}