Geometric and Ergodic Aspects of Group Actions

This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop “Geometric and Ergodic Aspects of Group Actions,” organized by the Tata Institute of Fundamental Research, Mumbai, India, in 2018. Written by eminent scientists, and providing clear, detailed accounts of various topics at the interface of ergodic theory, the theory of homogeneous dynamics, and the geometry of hyperbolic surfaces, the book is a valuable resource for researchers and advanced graduate students in mathematics.

1. Lectures on Kleinian Groups.- 2. Horocycle Flows on Surfaces with Infinite Genus.- 3. Higher-Order Correlations for Group Actions.- 4. Exponential Mixing.