**Hyperbolic Manifolds, Discrete Groups and Ergodic Theory**

by Curtis T. McMullen

**Publisher**: Harvard University 2011**Number of pages**: 118

**Description**:

Contents: Ergodic theory; Dynamics on hyperbolic surfaces; Orbit counting, equidistribution and arithmetic; Spectral theory; Mixing of unitary representations of SLnR; Amenability; The Laplacian; All unitary representations of PSL2(R); Kazhdan's property T; Ergodic theory at infinity of hyperbolic manifolds; Lattices: Dimension 1; Dimension 2; Lattices, norms and totally real fields; Dimension 3; Dimension 4, 5, 6; Higher rank dynamics on the circle; The discriminant-regulator paradox.

Download or read it online for free here:

**Download link**

(4.1MB, PDF)

## Similar books

**Extremes and Recurrence in Dynamical Systems**

by

**Valerio Lucarini, et al.**-

**arXiv**

This book provides a comprehensive introduction for the study of extreme events in the context of dynamical systems. It provides an overview of the area, underlining its relevance for mathematics, natural sciences, engineering, and social sciences.

(

**1273**views)

**Discrete Dynamical Systems**

by

**Arild Wikan**-

**Bookboon**

This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential to understand the behavior of nonlinear discrete dynamical systems. The theory is illuminated by examples and exercises.

(

**3637**views)

**Geometrical Theory of Dynamical Systems**

by

**Nils Berglund**-

**arXiv**

This text is a slightly edited version of lecture notes for a course to undergraduate Mathematics and Physics students. Contents: Examples of Dynamical Systems; Stationary and Periodic Solutions; Local Bifurcations; Introduction to Chaotic Dynamics.

(

**6366**views)

**Local Theory of Holomorphic Foliations and Vector Fields**

by

**Julio C. Rebelo, Helena Reis**-

**arXiv**

Informal lecture notes intended for graduate students about the standard local theory of holomorphic foliations and vector fields. Though the material presented here is well-known some of the proofs differ slightly from the classical arguments.

(

**5030**views)