Dimension theory in dynamical systems
Pesin, Ya. B.
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Dimension theory in dynamical systems
Published
1997
Publisher
University of Chicago Press
Pages
304
ISBN-10
0226662217
Description
In this book, Yakov B. Pesin introduces a new area of research that has recently appeared in the interface between dimension theory and the theory of dynamical systems. Focusing on invariant fractals and their influence on stochastic properties of systems, Pesin provides a comprehensive and systematic treatment of modern dimension theory in dynamical systems, summarizes the current state of research, and describes the most important accomplishments of this field. Topics include, but are not restricted to, the general concept of dimension; the dimension interpretation of some well-known invariants of dynamical systems, such as topological and measure-theoretic entropies; formulas of dimension of some well-known hyperbolic invariant sets, such as Julia sets, horseshoes, and solenoids; mathematical analysis of dimensions that are most often used in applied research, such as correlation and information dimensions; and mathematical theory of invariant multifractals. Pesin's synthesis of these subjects of broad current research interest will be appreciated both by advanced mathematicians and by a wide range of scientists who depend upon mathematical modeling of dynamical processes. The book can also be used as a text for a special topics course in the theory of dynamical systems and dimension theory.
Geometric Aspects Of General Topology
Infinite-dimensional topology
Low dimensional topology
Three-dimensional digital topology
General Topology I
Three-dimensional digital topology
Frequently Asked Questions
How many pages are in Dimension theory in dynamical systems?
This edition of Dimension theory in dynamical systems has approximately 304 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Dimension theory in dynamical systems?
For most readers, Dimension theory in dynamical systems typically takes between 6h 20m and 4h 13m to complete. This is based on the book's length of approximately 76,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 5h 4m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 11 days • Estimated word count: 76,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Dimension theory in dynamical systems?
The estimated word count for Dimension theory in dynamical systems is approximately 76,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Dimension theory in dynamical systems?
Dimension theory in dynamical systems was written by Pesin, Ya. B..
When was Dimension theory in dynamical systems published?
The publication date for this specific edition is 1997. The original work may have been published on a different date.