Boundaries, rigidity of representations, and Lyapunov exponents

Uri Bader; Alex Furman

Boundaries, rigidity of representations, and Lyapunov exponents

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper we discuss some connections between measurable dynamics and rigidity aspects of group representations and group actions. A new ergodic feature of familiar group boundaries is introduced, and is used to obtain rigidity results for group representations and to prove simplicity of Lyapunov exponents for some dynamical systems.

Original language	English
Title of host publication	Invited Lectures
Editors	Sun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
Pages	71-96
Number of pages	26
ISBN (Electronic)	9788961058063
State	Published - 2014
Externally published	Yes
Event	2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of Duration: 13 Aug 2014 → 21 Aug 2014

Publication series

Name	Proceeding of the International Congress of Mathematicans, ICM 2014
Volume	3

Conference

Conference	2014 International Congress of Mathematicans, ICM 2014
Country/Territory	Korea, Republic of
City	Seoul
Period	13/08/14 → 21/08/14

Keywords

Boundary theory
Characteristic maps
Isometric ergodicity
Lyapunov exponents
Superrigidity

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "Boundaries, rigidity of representations, and Lyapunov exponents",

abstract = "In this paper we discuss some connections between measurable dynamics and rigidity aspects of group representations and group actions. A new ergodic feature of familiar group boundaries is introduced, and is used to obtain rigidity results for group representations and to prove simplicity of Lyapunov exponents for some dynamical systems.",

keywords = "Boundary theory, Characteristic maps, Isometric ergodicity, Lyapunov exponents, Superrigidity",

author = "Uri Bader and Alex Furman",

year = "2014",

language = "الإنجليزيّة",

series = "Proceeding of the International Congress of Mathematicans, ICM 2014",

pages = "71--96",

editor = "Jang, {Sun Young} and Kim, {Young Rock} and Dae-Woong Lee and Ikkwon Yie",

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Boundaries, rigidity of representations, and Lyapunov exponents. / Bader, Uri; Furman, Alex.
Invited Lectures. ed. / Sun Young Jang; Young Rock Kim; Dae-Woong Lee; Ikkwon Yie. 2014. p. 71-96 (Proceeding of the International Congress of Mathematicans, ICM 2014; Vol. 3).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Boundaries, rigidity of representations, and Lyapunov exponents

AU - Bader, Uri

AU - Furman, Alex

PY - 2014

Y1 - 2014

N2 - In this paper we discuss some connections between measurable dynamics and rigidity aspects of group representations and group actions. A new ergodic feature of familiar group boundaries is introduced, and is used to obtain rigidity results for group representations and to prove simplicity of Lyapunov exponents for some dynamical systems.

AB - In this paper we discuss some connections between measurable dynamics and rigidity aspects of group representations and group actions. A new ergodic feature of familiar group boundaries is introduced, and is used to obtain rigidity results for group representations and to prove simplicity of Lyapunov exponents for some dynamical systems.

KW - Boundary theory

KW - Characteristic maps

KW - Isometric ergodicity

KW - Lyapunov exponents

KW - Superrigidity

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M3 - منشور من مؤتمر

T3 - Proceeding of the International Congress of Mathematicans, ICM 2014

SP - 71

EP - 96

BT - Invited Lectures

A2 - Jang, Sun Young

A2 - Kim, Young Rock

A2 - Lee, Dae-Woong

A2 - Yie, Ikkwon

T2 - 2014 International Congress of Mathematicans, ICM 2014

Y2 - 13 August 2014 through 21 August 2014

ER -

Boundaries, rigidity of representations, and Lyapunov exponents

Abstract

Publication series

Conference

Keywords

All Science Journal Classification (ASJC) codes

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Cite this