RIGIDITY OF REAL-ANALYTIC ACTIONS OF SL(n, Z) ON Tn: A CASE OF REALIZATION OF ZIMMER PROGRAM

Anatole Katok; Federico Rodriguez Hertz

doi:10.3934/dcds.2010.27.609

RIGIDITY OF REAL-ANALYTIC ACTIONS OF SL(n, Z) ON Tn: A CASE OF REALIZATION OF ZIMMER PROGRAM

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

We prove that any real-analytic action of SL(n, Z), n ≥ 3 with standard homotopy data that preserves an ergodic measure µ whose support is not contained in a ball, is analytically conjugate on an open invariant set to the standard linear action on the complement to a finite union of periodic orbits.

Original language	English (US)
Title of host publication	The Collected Works of Anatole Katok
Subtitle of host publication	In 2 Volumes
Publisher	World Scientific Publishing Co.
Pages	1975-1981
Number of pages	7
Volume	2
ISBN (Electronic)	9789811238079
ISBN (Print)	9789811238062
DOIs	https://doi.org/10.3934/dcds.2010.27.609
State	Published - Jan 1 2024

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering

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10.3934/dcds.2010.27.609

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RIGIDITY OF REAL-ANALYTIC ACTIONS OF SL(n, Z) ON Tn: A CASE OF REALIZATION OF ZIMMER PROGRAM

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