Logo

Hyperbolic Manifolds, Discrete Groups and Ergodic Theory

Small book cover: Hyperbolic Manifolds, Discrete Groups and Ergodic Theory

Hyperbolic Manifolds, Discrete Groups and Ergodic Theory
by

Publisher: Harvard University
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.

Home page url

Download or read it online for free here:
Download link
(4.1MB, PDF)

Similar books

Book cover: Elementary Symbolic Dynamics and Chaos in Dissipative SystemsElementary Symbolic Dynamics and Chaos in Dissipative Systems
by - 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.
(8209 views)
Book cover: Ergodic Optimization, Zero Temperature Limits and the Max-plus AlgebraErgodic Optimization, Zero Temperature Limits and the Max-plus Algebra
by - 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.
(5525 views)
Book cover: Ordinary Differential Equations and Dynamical SystemsOrdinary Differential Equations and Dynamical Systems
by - 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.
(14158 views)
Book cover: Dynamical SystemsDynamical Systems
by - MDPI AG
Complex systems are studied in many areas of natural sciences, social sciences, engineering and mathematics. This volume intends to contribute towards the dissemination of the multifaceted concepts in accepted use by the scientific community.
(4626 views)