Positive transfer operators and decay of correlations
著者
書誌事項
Positive transfer operators and decay of correlations
（Advanced series in nonlinear dynamics, v. 16）
World Scientific, c2000
大学図書館所蔵 件 / 全22件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 293-310) and index
内容説明・目次
内容説明
Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system “mixes”, i.e. “forgets” its initial conditions.This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained.The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum.
目次
- Subshifts of finite type
- a key symbolic model
- smooth uniformly expanding dynamics
- piecewise expanding systems
- hyperbolic systems.
「Nielsen BookData」 より
