@article{Anosov1967,
  author = {Anosov, D. V.},
  title = {Geodesic flows on closed {Riemannian} manifolds of negative curvature},
  journal = {Trudy Matematicheskogo Instituta imeni V. A. Steklova},
  volume = {90},
  year = {1967},
  pages = {3--210},
  note = {English translation: Proceedings of the Steklov Institute of Mathematics 90, 1--235},
  url = {https://www.mathnet.ru/eng/tm2795}
}

@article{BakalovDAndreaKac2001,
  author = {Bakalov, Bojko and D'Andrea, Alessandro and Kac, Victor G.},
  title = {Theory of finite pseudoalgebras},
  journal = {Advances in Mathematics},
  volume = {162},
  number = {1},
  year = {2001},
  pages = {1--140},
  doi = {10.1006/aima.2001.1993},
  url = {https://arxiv.org/abs/math/0007121v2},
  note = {Theorem locators refer to arXiv:math/0007121v2, March 16, 2001}
}

@book{Ballmann1995,
  author = {Ballmann, Werner},
  title = {Lectures on Spaces of Nonpositive Curvature},
  series = {DMV Seminar},
  volume = {25},
  publisher = {Birkh{\"a}user},
  address = {Basel},
  year = {1995},
  note = {With an appendix by Misha Brin},
  doi = {10.1007/978-3-0348-9240-7},
  url = {https://people.mpim-bonn.mpg.de/hwbllmnn/archiv/NPC0606.pdf}
}

@article{BenoistFoulonLabourie1992,
  author = {Benoist, Yves and Foulon, Patrick and Labourie, Fran{\c c}ois},
  title = {Flots d'{Anosov} \`a distributions stable et instable diff\'erentiables},
  journal = {Journal of the American Mathematical Society},
  volume = {5},
  number = {1},
  year = {1992},
  pages = {33--74},
  doi = {10.1090/S0894-0347-1992-1124979-1},
  url = {https://www.imo.universite-paris-saclay.fr/~yves.benoist/prepubli/0090flotanosov.pdf}
}

@article{BessonCourtoisGallot1995,
  author = {Besson, G{\'e}rard and Courtois, Gilles and Gallot, Sylvestre},
  title = {Entropies et rigidit{\'e}s des espaces localement sym{\'e}triques de courbure strictement n{\'e}gative},
  journal = {Geometric and Functional Analysis},
  volume = {5},
  number = {5},
  year = {1995},
  pages = {731--799},
  doi = {10.1007/BF01897050},
  url = {https://www.aimath.org/WWN/entropyrigidity/papers/BessonCourtoisGallot.pdf}
}

@article{BowenRuelle1975,
  author = {Bowen, Rufus and Ruelle, David},
  title = {The ergodic theory of {Axiom A} flows},
  journal = {Inventiones Mathematicae},
  volume = {29},
  year = {1975},
  pages = {181--202},
  doi = {10.1007/BF01389848},
  url = {https://www.ihes.fr/~ruelle/PUBLICATIONS/[42].pdf}
}

@article{DeSimoiLeguilVinhageYang2020,
  author = {De Simoi, Jacopo and Leguil, Martin and Vinhage, Kurt and Yang, Yun},
  title = {Entropy rigidity for {3D} conservative {Anosov} flows and dispersing billiards},
  journal = {Geometric and Functional Analysis},
  volume = {30},
  number = {5},
  year = {2020},
  pages = {1337--1369},
  doi = {10.1007/s00039-020-00547-z},
  url = {https://leguil.perso.math.cnrs.fr/Articles/DeSimoi_Leguil_Vinhage_Yang.pdf}
}

@article{FattoriKac2002,
  author = {Fattori, Davide and Kac, Victor G.},
  title = {Classification of finite simple {Lie} conformal superalgebras},
  journal = {Journal of Algebra},
  volume = {258},
  number = {1},
  year = {2002},
  pages = {23--59},
  doi = {10.1016/S0021-8693(02)00504-5},
  url = {https://arxiv.org/abs/math-ph/0106002v1},
  note = {Theorem locators refer to arXiv:math-ph/0106002v1, June 4, 2001}
}

@article{Flaminio1995,
  author = {Flaminio, Livio},
  title = {Local entropy rigidity for hyperbolic manifolds},
  journal = {Communications in Analysis and Geometry},
  volume = {3},
  number = {4},
  year = {1995},
  pages = {555--596},
  doi = {10.4310/CAG.1995.v3.n4.a2}
}

@article{Foulon2001,
  author = {Foulon, Patrick},
  title = {Entropy rigidity of {Anosov} flows in dimension three},
  journal = {Ergodic Theory and Dynamical Systems},
  volume = {21},
  number = {4},
  year = {2001},
  pages = {1101--1112},
  doi = {10.1017/S0143385701001523}
}

@article{Guillemin1968,
  author = {Guillemin, Victor},
  title = {A {Jordan--H{\"o}lder} decomposition for a certain class of infinite dimensional {Lie} algebras},
  journal = {Journal of Differential Geometry},
  volume = {2},
  number = {3},
  year = {1968},
  pages = {313--345},
  doi = {10.4310/jdg/1214428443}
}

@book{Hartshorne1977,
  author = {Hartshorne, Robin},
  title = {Algebraic Geometry},
  series = {Graduate Texts in Mathematics},
  volume = {52},
  publisher = {Springer},
  address = {New York},
  year = {1977},
  doi = {10.1007/978-1-4757-3849-0}
}

@article{Humbert2026,
  author = {Humbert, Tristan},
  title = {{Katok}'s entropy conjecture near real and complex hyperbolic metrics},
  journal = {Duke Mathematical Journal},
  volume = {175},
  number = {1},
  year = {2026},
  pages = {135--184},
  doi = {10.1215/00127094-2025-0023},
  url = {https://arxiv.org/abs/2409.11197v3},
  note = {Theorem locators refer to arXiv:2409.11197v3, October 20, 2025}
}

@article{KalininSadovskaya2017,
  author = {Kalinin, Boris and Sadovskaya, Victoria},
  title = {Normal forms for non-uniform contractions},
  journal = {Journal of Modern Dynamics},
  volume = {11},
  year = {2017},
  pages = {341--368},
  doi = {10.3934/jmd.2017014},
  url = {https://arxiv.org/abs/1604.03963v2},
  note = {Preprint version 2, May 12, 2016}
}

@article{Katok1982,
  author = {Katok, Anatole},
  title = {Entropy and closed geodesics},
  journal = {Ergodic Theory and Dynamical Systems},
  volume = {2},
  number = {3-4},
  year = {1982},
  pages = {339--365},
  doi = {10.1017/S0143385700001656}
}

@article{Livsic1972,
  author = {Liv{\v s}ic, A. N.},
  title = {Cohomology of dynamical systems},
  journal = {Mathematics of the USSR-Izvestiya},
  volume = {6},
  number = {6},
  year = {1972},
  pages = {1278--1301},
  doi = {10.1070/IM1972v006n06ABEH001919},
  url = {https://www.mathnet.ru/eng/im2373}
}

@article{Manning1979,
  author = {Manning, Anthony},
  title = {Topological entropy for geodesic flows},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {110},
  number = {3},
  year = {1979},
  pages = {567--573},
  doi = {10.2307/1971239}
}

@article{Melnick2019,
  author = {Melnick, Karin},
  title = {Non-stationary smooth geometric structures for contracting measurable cocycles},
  journal = {Ergodic Theory and Dynamical Systems},
  volume = {39},
  number = {2},
  year = {2019},
  pages = {392--424},
  doi = {10.1017/etds.2017.38},
  url = {https://arxiv.org/abs/1604.04423v2},
  note = {Preprint version 2, July 17, 2017}
}

@article{Oseledets1968,
  author = {Oseledets, V. I.},
  title = {A multiplicative ergodic theorem. {Lyapunov} characteristic numbers for dynamical systems},
  journal = {Transactions of the Moscow Mathematical Society},
  volume = {19},
  year = {1968},
  pages = {197--231},
  note = {Translated from Trudy Moskovskogo Matematicheskogo Obshchestva 19 (1968), 179--210},
  url = {https://www.mathnet.ru/eng/mmo214}
}

@article{Pesin1977,
  author = {Pesin, Ya. B.},
  title = {Characteristic {Lyapunov} exponents and smooth ergodic theory},
  journal = {Russian Mathematical Surveys},
  volume = {32},
  number = {4},
  year = {1977},
  pages = {55--114},
  doi = {10.1070/RM1977v032n04ABEH001639},
  url = {https://www.mathnet.ru/eng/rm3219}
}

@article{Ruan2024,
  author = {Ruan, Yuping},
  title = {The {Cayley} hyperbolic space and volume entropy rigidity},
  journal = {Mathematische Zeitschrift},
  volume = {306},
  number = {1},
  year = {2024},
  pages = {4},
  note = {Article 4},
  doi = {10.1007/s00209-023-03398-0},
  url = {https://arxiv.org/abs/2203.14418}
}

@article{Ruelle1978,
  author = {Ruelle, David},
  title = {An inequality for the entropy of differentiable maps},
  journal = {Boletim da Sociedade Brasileira de Matem{\'a}tica},
  volume = {9},
  number = {1},
  year = {1978},
  pages = {83--87},
  url = {https://www.ihes.fr/~ruelle/PUBLICATIONS/[51].pdf}
}

@incollection{Climenhaga2024,
  author = {Climenhaga, Vaughn},
  title = {{SRB} and equilibrium measures via dimension theory},
  booktitle = {A Vision for Dynamics in the 21st Century: The Legacy of Anatole Katok},
  editor = {Damjanovi{\'c}, Danijela and Hasselblatt, Boris and Gogolev, Andrey and Pesin, Yakov},
  publisher = {Cambridge University Press},
  address = {Cambridge},
  year = {2024},
  pages = {94--138},
  doi = {10.1017/9781009278898.005},
  url = {https://arxiv.org/abs/2009.09260v2},
  note = {Theorem locators refer to arXiv:2009.09260v2, May 24, 2021}
}

@article{GuysinskyKatok1998,
  author = {Guysinsky, M. and Katok, Anatole},
  title = {Normal forms and invariant geometric structures for dynamical systems with invariant contracting foliations},
  journal = {Mathematical Research Letters},
  volume = {5},
  number = {1--2},
  year = {1998},
  pages = {149--163},
  doi = {10.4310/MRL.1998.v5.n2.a2}
}

@article{HirschPughShub1970,
  author = {Hirsch, Morris W. and Pugh, Charles C. and Shub, Michael},
  title = {Invariant manifolds},
  journal = {Bulletin of the American Mathematical Society},
  volume = {76},
  number = {5},
  year = {1970},
  pages = {1015--1019},
  doi = {10.1090/S0002-9904-1970-12537-X},
  url = {https://escholarship.org/content/qt036359pm/qt036359pm.pdf}
}

@article{Leuzinger2006,
  author = {Leuzinger, Enrico},
  title = {Entropy of the geodesic flow for metric spaces and {Bruhat--Tits} buildings},
  journal = {Advances in Geometry},
  volume = {6},
  year = {2006},
  pages = {475--491},
  doi = {10.1515/ADVGEOM.2006.029},
  url = {https://aimath.org/WWN/entropyrigidity/papers/Leuzinger.pdf}
}

@misc{Gorodski2021,
  author = {Gorodski, Claudio},
  title = {An Introduction to {Riemannian} Symmetric Spaces},
  year = {2021},
  note = {Lecture notes, September 2021},
  url = {https://www.ime.usp.br/~gorodski/ps/symmetric-spaces.pdf}
}

@misc{EschenburgSymmetricSpaces,
  author = {Eschenburg, J.-H.},
  title = {Lecture Notes on Symmetric Spaces},
  year = {n.d.},
  note = {Undated author notes},
  url = {https://myweb.rz.uni-augsburg.de/~eschenbu/symspace.pdf}
}

@misc{Milne2013,
  author = {Milne, James S.},
  title = {Lie Algebras, Algebraic Groups, and Lie Groups},
  year = {2013},
  note = {Version 2.00, May 5, 2013},
  url = {https://www.jmilne.org/math/CourseNotes/LAG.pdf}
}

@misc{KirillovPreliminary,
  author = {Kirillov, Jr., Alexander},
  title = {Introduction to Lie Groups and Lie Algebras},
  year = {n.d.},
  note = {Author's preliminary version of the book published by Cambridge University Press in 2008},
  url = {https://www.math.stonybrook.edu/~kirillov/liegroups/liegroups.pdf}
}

@book{Moschovakis2009,
  author = {Moschovakis, Yiannis N.},
  title = {Descriptive Set Theory},
  edition = {2},
  series = {Mathematical Surveys and Monographs},
  volume = {155},
  publisher = {American Mathematical Society},
  address = {Providence, RI},
  year = {2009},
  doi = {10.1090/surv/155},
  url = {https://www.math.ucla.edu/~ynm/lectures/dst2009/dst2009.pdf}
}

@misc{Tserunyan2025,
  author = {Tserunyan, Anush},
  title = {Introduction to Descriptive Set Theory},
  year = {2025},
  note = {Lecture notes, November 26, 2025},
  url = {https://www.math.mcgill.ca/atserunyan/Teaching_notes/dst_lectures.pdf}
}

@misc{StacksProject,
  author = {{The Stacks Project Authors}},
  title = {The Stacks Project},
  year = {2026},
  note = {Tags 00FN, 00P0, 00KU, 00NP, 0B8X, 07ND, 02K4 and 02G1, accessed September 23, 2026},
  url = {https://stacks.math.columbia.edu}
}

@misc{Mangolte2019,
  author = {Mangolte, Fr{\'e}d{\'e}ric},
  title = {Real Algebraic Varieties},
  year = {2019},
  note = {Author text, December 11, 2019},
  url = {https://www.i2m.univ-amu.fr/perso/frederic.mangolte/VAR-ENGLISH-2019-12-11.pdf}
}
