Higher cohomology for Abelian groups of toral automorphisms

Anatole Katok, Svetlana Katok

Type: Article

Publication Date: 1995-06-01

Citations: 40

DOI: https://doi.org/10.1017/s0143385700008531

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Locations

Ergodic Theory and Dynamical Systems - View

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Works That Cite This (38)

Action	Title	Year	Authors
+	Invariant distributions and cohomology for geodesic flows and higher cohomology of higher-rank Anosov actions	2013	Felipe A. Ramírez
+	Non-abelian cohomology of abelian Anosov actions	2000	Anatole Katok Viorel Niţică Andrei Török
+	Rigidity in Higher Rank Abelian Group Actions	2011	Anatole Katok Viorel Niţică
+	On the Cohomology of Anosov Actions	2002	Viorel Niţică Andrei Török
+	Ruelle–Taylor resonances of Anosov actions	2024	Yannick Guedes Bonthonneau Colin Guillarmou Joachim Hilgert Tobias Weich
+	Cohomology of dynamical systems and rigidity of partially hyperbolic actions of higher-rank lattices	1995	Viorel Niţică Andrei Török
+	The first cohomology group, mixing, and minimal sets of the commutative group of algebraic actions on a torus	1999	Alexander Starkov
+	Higher cohomology for abelian groups of toral automorphisms II: the partially hyperbolic case, and corrigendum	2005	Anatole Katok Svetlana Katok
+ PDF Chat	A Central Limit Theorem for Time-Dependent Dynamical Systems	2012	Péter Nándori Domokos Szász Tamás Varjú
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Works Cited by This (13)

Action	Title	Year	Authors
+	On the cohomology of certain dynamical systems	1980	Victor Guillemin David Kazhdan
+ PDF Chat	Deux Théorèmes d'Arithmétique	1951	Claude Chevalley
+ PDF Chat	Differentiability, rigidity and Godbillon-Vey classes for Anosov flows	1990	Steven Hurder A. Katok
+ PDF Chat	First cohomology of Anosov actions of higher rank abelian groups and applications to rigidity	1994	Anatole Katok Ralf Spatzier
+	Homology properties of Y-systems	1971	A. N. Livshits
+ PDF Chat	On a regularity problem occurring in connection with Anosov diffeomorphisms	1986	Jean-Lin Journé
+	Closed geodesics, periods and arithmetic of modular forms	1985	Svetlana Katok
+ PDF Chat	Periodic points and invariant pseudomeasures for toral endomorphisms	1986	William A. Veech
+	Invariant measures for higher-rank hyperbolic abelian actions	1996	A. Katok Ralf Spatzier
+ PDF Chat	Subelliptic Estimates of Polynomial Differential Operators and Applications to Rigidity of Abelian Actions	1994	A. Katok Ralf Spatzier