Invariant measures and stiffness for non-Abelian groups of toral automorphisms

Jean Bourgain, Alex Furman, Elon Lindenstrauss, Shahar Mozes

Type: Article

Publication Date: 2007-06-15

Citations: 15

DOI: https://doi.org/10.1016/j.crma.2007.04.017

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Comptes Rendus Mathématique - View
Comptes Rendus Mathématique - View - PDF

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Works That Cite This (14)

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+	Generic stationary measures and actions	2015	Lewis Bowen Yair Hartman Omer Tamuz
+	Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus	2010	Jean Bourgain Alex Furman Elon Lindenstrauss Shahar Mozes
+	The discretized sum-product and projection theorems	2010	Jean Bourgain
+	Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on 𝕋	2009	Manfred Einsiedler Alexander Fish
+ PDF Chat	Mesures stationnaires et fermés invariants des espaces homogènes	2008	Yves Benoist Jean-François Quint
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+ PDF Chat	Mesures stationnaires et fermés invariants des espaces homogènes	2011	Yves Benoist Jean-François Quint
+	The sum-product phenomenon in arbitrary rings	2009	Terence Tao

Works Cited by This (16)

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+	Rigidity properties of ℤ^{𝕕}-actions on tori and solenoids	2003	Manfred Einsiedler Elon Lindenstrauss
+ PDF Chat	Strong approximation for Zariski dense subgroups over arbitrary global fields	2000	Richard Pink
+	On the Erdős-Volkmann and Katz-Tao ring conjectures	2003	Jean Bourgain
+	Orbits of linear group actions, random walks on homogeneous spaces and toral automorphisms	2004	Yves Guivarc’h A. N. Starkov
+	On the spectral gap for finitely-generated subgroups of SU(2)	2007	Jean Bourgain Alex Gamburd
+	Products of Random Matrices with Applications to Schrödinger Operators	1985	Philippe Bougerol Jean Lacroix
+	Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation	1967	Harry Furstenberg
+ PDF Chat	Multi-invariant sets on tori	1983	Daniel Berend
+ PDF Chat	×2 and ×3 invariant measures and entropy	1990	Daniel J. Rudolph
+	Mathematics: frontiers and perspectives	2000	Harsh Pittie V. Arnold M. Atiyah Peter D. Lax Barry Mazur