Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds
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Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds
Author: Mark Pollicott
language: en
Publisher: Cambridge University Press
Release Date: 1993-02-04
These lecture notes provide a unique introduction to Pesin theory and its applications.
Lectures on Invariant Theory
Author: Igor Dolgachev
language: en
Publisher: Cambridge University Press
Release Date: 2003-08-07
The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.
Ergodic Theory and Zd Actions
Author: Mark Pollicott
language: en
Publisher: Cambridge University Press
Release Date: 1996-03-28
A mixture of surveys and original articles that span the theory of Zd actions.