Polynomial Entropy and Expansivity
| Autor: | Ignacio Monteverde, Dante Carrasco-Olivera, Alfonso Artigue |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
Mathematics::Dynamical Systems General Mathematics 010102 general mathematics Mathematics::General Topology Topological entropy Dynamical Systems (math.DS) Equicontinuity 01 natural sciences 010101 applied mathematics Metric space Compact space FOS: Mathematics Mathematics - Dynamical Systems 0101 mathematics Expansive Entropy (arrow of time) Mathematics |
| DOI: | 10.48550/arxiv.1801.08774 |
| Popis: | In this paper we study the polynomial entropy of homeomorphism on compact metric space. We construct a homeomorphism on a compact metric space with vanishing polynomial entropy that it is not equicontinuous. Also we give examples with arbitrarily small polynomial entropy. Finally, we show that expansive homeomorphisms and positively expansive maps of compact metric spaces with infinitely many points have polynomial entropy greater or equal than 1. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|