**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

**Introduction to Dynamical Systems: A Hands-on Approach with Maxima**

by

**Jaime E. Villate**

In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.

(

**6302**views)

**A Short Introduction to Classical and Quantum Integrable Systems**

by

**O. Babelon**

An introduction to integrable systems. From the table of contents: Integrable dynamical systems; Solution by analytical methods; Infinite dimensional systems; The Jaynes-Cummings-Gaudin model; The Heisenberg spin chain; Nested Bethe Ansatz.

(

**7369**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.

(

**6505**views)

**Chaos Theory**

by

**Kais A. Mohamedamen Al Naimee (ed.)**-

**InTech**

With a good background in nonlinear dynamics, chaos theory, and applications, the authors give a treatment of the basic principles of nonlinear dynamics in different fields. In addition, they show overlap with the traditional field of control theory.

(

**1118**views)