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 Algebraby 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.
(6259 views)
Introduction to the Theory of Infinite-Dimensional Dissipative Systemsby Constantin I. Chueshov - ACTA
An introduction to infinite-dimensional dissipative dynamical systems. The book outlines a variety of tools applied in the study of nonlinear dynamical distributed systems. The results have applications to many areas of physics and engineering.
(10285 views)
Perturbation Theory of Dynamical Systemsby Nils Berglund - arXiv
These are lecture notes for undergraduate Mathematics and Physics students. They cover a few selected topics from perturbation theory at an introductory level: Bifurcations and Unfolding; Regular Perturbation Theory; Singular Perturbation Theory.
(5591 views)
Singularities of Transition Processes in Dynamical Systemsby Alexander N. Gorban - American Mathematical Society
This monograph presents a systematic analysis of the singularities in the transition processes for dynamical systems. We study general dynamical systems, with dependence on a parameter, and construct relaxation times that depend on three variables.
(8570 views)