**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

**Dynamical Systems**

by

**Shlomo Sternberg**-

**OER Commons**

This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy; space and time averages; the contraction fixed point theorem; Hutchinson's theorem and fractal images; hyperbolicity; and symbolic dynamics.

(

**6122**views)

**The Hopf Bifurcation and Its Applications**

by

**J. E. Marsden, M. McCracken**-

**Springer**

The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.

(

**9054**views)

**Ordinary Differential Equations and Dynamical Systems**

by

**Gerald Teschl**-

**Universitaet Wien**

This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem.

(

**11440**views)

**Elementary Symbolic Dynamics and Chaos in Dissipative Systems**

by

**Bai-Lin Hao**-

**World Scientific**

This is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and characteristics of the attractors, written from the view-point of practical applications.

(

**6106**views)