Measure theory through dynamical eyes

Abstract

These expository notes are a somewhat embellished version of two rather informal evening review sessions given by the second author at the 2008 Bedlewo summer school on "Dynamical Systems - Geometric Structures and Rigidity"; they provide a brief overview of some of the basics of measure theory and its applications to dynamics which are foundational to the various courses at the school.

33 pages

References in corpus (1)

• Absolutely singular dynamical foliations

Cited by in corpus (6)

• The geometric approach for constructing Sinai-Ruelle-Bowen measures
• A computable realization of Ruelle's formula for linear response of statistics in chaotic systems
• Maximal entropy measures of diffeomorphisms of circle fiber bundles
• Invariance principle and rigidity of high entropy measures
• Measure rigidity of Anosov flows via the factorization method
• Non left-orderability of lattices in higher rank semi-simple Lie groups