Dimension type characteristics for invariant sets of dynamical systems

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

CONTENTS Introduction Part I. Definition and basic properties of dimension and capacity characteristics ŧŠ1. Construction of dimension and capacity characteristics ŧŠ2. Properties of dimension and capacity characteristics Part II. Examples of dimension and capacity characteristics ŧŠ3. Classical dimension and capacity characteristics ŧŠ4. Topological pressure and topological entropy ŧŠ5. Metric entropy characteristics ŧŠ6. Dimension and capacity characteristics relative to a mapping Appendix A. A variational principle for non-compact sets Appendix B. Dynamical invariants of Takens Appendix C. Carathȳodory-measurable sets.

Original languageEnglish (US)
Pages (from-to)111-151
Number of pages41
JournalRussian Mathematical Surveys
Volume43
Issue number4
DOIs
StatePublished - Aug 31 1988

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Invariant Set
Dynamical system
Topological Pressure
Metric Entropy
Measurable set
Topological Entropy
Variational Principle
Invariant

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Dimension type characteristics for invariant sets of dynamical systems. / Pesin, Yakov B.

In: Russian Mathematical Surveys, Vol. 43, No. 4, 31.08.1988, p. 111-151.

Research output: Contribution to journalArticle

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