Translation of the paper `Mesures stationnaires et ferm'es invariants des espaces homog'enes I', by Y. Benoist and J.-F. Quint

TL;DR

This paper provides a translation of Benoist and Quint's influential work on stationary measures and invariant closed sets in homogeneous spaces, making their results accessible to a broader audience.

Contribution

It offers an accessible translation of Benoist and Quint's foundational research on invariant measures in homogeneous spaces, facilitating further study and application.

Findings

Key results on stationary measures in homogeneous spaces

Classification of invariant closed sets

Foundational framework for future research

Abstract

A translation of the famous paper of Benoist and Quint, `Mesures stationnaires et ferm\'es invariants des espaces homog\'enes I', Ann. Math. 174 (2011).