Non-uniform measure rigidity for Zk actions of symplectic type

Anatole Katok; Federico Rodriguez Hertz

Non-uniform measure rigidity for Z^k actions of symplectic type

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

Abstract

We make a modest progress in the nonuniform measure rigidity program started in 2007 and its applications to the Zimmer program. The principal innovation is in establishing rigidity of large measures for actions of Z^k, k ≥ 2 with pairs of negatively proportional Lyapunov exponents which translates to applicability of our results to actions of lattices in higher rank semisimple Lie groups other than SL(n,R), namely, Sp(2n, Z) and SO(n, n; Z).

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	2527-2540
Number of pages	14
Volume	2
ISBN (Electronic)	9789811238079
ISBN (Print)	9789811238062
State	Published - Jan 1 2024

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering

Cite this

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Non-uniform measure rigidity for Z^k actions of symplectic type

Abstract

All Science Journal Classification (ASJC) codes

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