**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

**Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebra**

by

**A. T. Baraviera, R. Leplaideur, A. O. Lopes**-

**arXiv**

We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.

(

**3672**views)

**Chaos: Classical and Quantum**

by

**Predrag Cvitanovic**-

**ChaosBook.org**

This is a graduate textbook on classical and quantum chaos, applicable to problems of physics, chemistry and other sciences. It represents an attempt to formulate the subject as one of the cornerstones of the graduate physics curriculum of future.

(

**11609**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.

(

**5646**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.

(

**6455**views)