Dimension type characteristics for invariant sets of dynamical systems

CONTENTS Introduction Part I. Definition and basic properties of dimension and capacity characteristics § 1. Construction of dimension and capacity characteristics § 2. Properties of dimension and capacity characteristics Part II. Examples of dimension and capacity characteristics § 3. Classical dimension and capacity characteristics § 4. Topological pressure and topological entropy § 5. Metric entropy characteristics § 6. 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. Carathéodory-measurable sets References