Dimension type characteristics for invariant sets of dynamical systems

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Dimension type characteristics for invariant sets of dynamical systems'. Together they form a unique fingerprint.

Cite this