Hyperbolic Manifolds, Discrete Groups and Ergodic Theory
by Curtis T. McMullen
Publisher: Harvard University 2011
Number of pages: 118
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.
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by Gerald Teschl - 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.
by Mason A. Porter - arXiv
Nonlinear dynamics (''chaos theory'') and quantum mechanics are two of the scientific triumphs of the 20th century. The author gives a brief review of the origin and fundamentals of both quantum mechanics and nonlinear dynamics.
by Shlomo Sternberg - OER Commons
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by Mahmut Reyhanoglu - InTech
There has been a considerable progress made during the recent past on mathematical techniques for studying dynamical systems. This progress is due to our increasing ability to mathematically model physical processes and to analyze and solve them.