Work

Beyond $0$ and $\infty$: A solution to the Barge Entropy Conjecture

Year: 2021

Type: preprint

Abstract: We prove the entropy conjecture of M. Barge from 1989: for every $r\in [0,\infty]$ there exists a pseudo-arc homeomorphism $h$, whose topological entropy is $r$. Until now all pseudo-arc homeomorphisms with known entropy have had entropy $0$ or $\infty$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2105.11133

Authors: Boroński, Jan P., Činč, Jernej, Oprocha, Piotr

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Austrian Science Fund, Javna Agencija za Raziskovalno Dejavnost RS, Narodowym Centrum Nauki

Awards: G1809289061, Parameterized families of strange attractors represented through inverse limits: topological and measure-theoretic aspects, G4152577865, G4785389764, G5271237767, G5575250014, G6365251082, G6883570881, G7237148784, G7348637076, G7405303364, Topology of Lorenz-like attractors

OpenAlex ID: W3165008895

Cites: 66

Cited by: 1

Related to: 10