Dynamical Systems and Semisimple Groups by Renato Feres
This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups. The main goal is to serve as an entry into the literature on the ergodic theory of measure preserving actions of semisimple Lie groups. The author develops in a detailed and self-contained way the main results on Lie groups, Lie algebras, and semisimple groups, including basic facts on manifolds and Lie groups plus topics such as integration of infinitesimal actions of Lie groups. He then derives the basic structure theorems for the real semisimple Lie groups, such as the Cartan and Iwasawa decompositions and gives an extensive exposition of the general facts and concepts from topological dynamics and ergodic theory, including detailed proofs of the multiplicative ergodic theorem and Moore's ergodicity theorem. This book should appeal to anyone interested in Lie theory, differential geometry and dynamical systems.-
The Geometry of Fractal Sets
-
Riemannian Geometry
-
Miniquaternion Geometry
-
The Geometry of Total Curvature on Complete Open Surfaces
-
Metric Spaces
-
A Universal Construction for Groups Acting Freely on Real Trees
-
Birational Geometry and Manin's Conjecture
-
Coherence in Three-Dimensional Category Theory
-
Dilation and Model Theory for Pairs of Commuting Contraction Operators
-
The Direct Method in Soliton Theory
-
Matrix Positivity
-
Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem
-
Topics in Critical Point Theory
-
Category and Measure
-
The Mathieu Groups
-
Modern Approaches to the Invariant-Subspace Problem
-
Frobenius Manifolds and Moduli Spaces for Singularities
-
Group Cohomology and Algebraic Cycles
-
Permutation Group Algorithms
-
Nonlinear Perron–Frobenius Theory
-
Abelian Varieties, Theta Functions and the Fourier Transform
-
Matrices of Sign-Solvable Linear Systems
-
The Cube-A Window to Convex and Discrete Geometry
-
The Large Sieve and its Applications
-
Combinatorics of Minuscule Representations
-
Polynomials and Vanishing Cycles
-
Restricted Orbit Equivalence for Actions of Discrete Amenable Groups
-
Metric Diophantine Approximation on Manifolds
-
Applications of Diophantine Approximation to Integral Points and Transcendence
-
An Introduction to Homotopy Theory
-
Linear and Projective Representations of Symmetric Groups
-
Dependence with Complete Connections and its Applications
-
Fixed Point Theory and Applications
-
Justification Logic
-
Synthetic Geometry of Manifolds
-
Distribution Modulo One and Diophantine Approximation
-
The Levy Laplacian
-
Sets of Multiples
-
Period Domains over Finite and p-adic Fields
-
Large Deviations for Markov Chains
-
Levy Processes in Lie Groups
-
Character Sums with Exponential Functions and their Applications
-
Poincare Duality Algebras, Macaulay's Dual Systems, and Steenrod Operations
-
Quasi-Frobenius Rings
-
The Covering Property Axiom, CPA
-
Ridge Functions
-
Jordan Structures in Geometry and Analysis
-
Typical Dynamics of Volume Preserving Homeomorphisms
Review of the hardback: 'This text might well become a standard one 'G. Pilz, Internationale Mathematische Nachrichten
| SKU | Unavailable |
| ISBN 13 | 9780521591621 |
| ISBN 10 | 0521591627 |
| Title | Dynamical Systems and Semisimple Groups |
| Author | Renato Feres |
| Series | Cambridge Tracts In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 1998-06-13 |
| Number of pages | 264 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |