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
Monotone Dynamical Systemsby M.W. Hirsch, Hal Smith
From the table of contents: Introduction; Strongly Order-Preserving Semiflows; Generic Convergence and Stability; Ordinary Differential Equations; Delay Differential Equations; Monotone Maps; Semilinear Parabolic Equations.
(11422 views)
Introduction to Dynamical Systems: A Hands-on Approach with Maximaby 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.
(10937 views)
Lectures on Topics In One-Parameter Bifurcation Problemsby P. Rabier - Tata Institute of Fundamental Research
This set of lectures gives a synthetic exposition for the study of one-parameter bifurcation problems. By this, we mean the analysis of the structure of their set of solutions through the same type of general arguments in various situations.
(9208 views)
Definitions, Solved and Unsolved Problems, Conjectures, and Theorems in Number Theory and Geometryby Florentin Smarandache - Amer Research Pr
A collection of definitions, questions, and theorems such as Smarandache type conjectures, problems, numerical bases, T-numbers, progressions, series, functions, Non-Euclidean geometries, paradoxes, linguistic tautologies, and more.
(17630 views)