Random walks on reductive groups / Yves Benoist, Jean-François Quint.

Format:

Book

Author/Creator:

Benoist, Yves, author.

Quint, Jean-François, author.

Series:

Ergebnisse der Mathematik und ihrer Grenzgebiete ; v. 62.

Ergebnisse der mathematik und ihrer grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 ; volume 62

Language:

English

Subjects (All):

Random walks (Mathematics).

Topological groups.

Lie groups.

Dynamics.

Ergodic theory.

Physical Description:

xi, 323 pages ; 24 cm.

Place of Publication:

Cham ; New York : Springer, [2016]

Contents:

Stationary measures

The law of large numbers

Linear random walks

Finite index subsemigroups

Loxodromic elements

The Jordan projection of semigroups

Reductive groups and their representations

Zariski dense subsemigroups

Random walks on reductive groups

Transfer operators over contracting actions

Limit laws for cocycles

Limit laws for products of random matrices

Regularity of the stationary measure

The spectrum of the complex transfer operator

The local limit theorem for cocycles

The local limit theorem for products of random matrices

Appendix A. Convergence of sequences of random variables

Appendix B. The essential spectrum of bounded operators

Appendix C. Bibliographical comments.

Notes:

Includes bibliographical references (pages 315-319) and index.

ISBN:

9783319477190

3319477196

OCLC:

959259546