Ergodic exponential maps with escaping singular behaviours

Abstract We construct exponential maps for which the singular value tends to infinity under iterates while the maps are ergodic. This is in contrast with a result of Lyubich from 1987 which tells that is not ergodic.

Authors

Weiwei Cui (ORCID: https://orcid.org/0000-0003-2505-4710)
Jun Wang (ORCID: https://orcid.org/0000-0001-6275-9846)

Institutions

Fudan University (CN)
Ministry of Education (ME)

Publication Details

Journal: Bulletin of the London Mathematical Society
Published: 2025-11-04
DOI: https://doi.org/10.1112/blms.70232
Citations: 1
Primary Topic: Mathematical Dynamics and Fractals
Type: article
Field-Weighted Citation Impact: 3.69

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article

Ergodic exponential maps with escaping singular behaviours

Weiwei Cui, Jun Wang

Nov 4, 2025

1 citations

Bulletin of the London Mathematical Society

Mathematical Dynamics and Fractals

3.69

article

Ergodic exponential maps with escaping singular behaviours

Weiwei Cui, Jun Wang

November 4, 2025article en

1 citations

Abstract

Bulletin of the London Mathematical SocietyVol. 57(12)

Fudan University (CN), Ministry of Education (ME)

Openalex Percentile: Top 6%

Mathematical Dynamics and Fractals

3.69

DOI Source OpenAlex

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Ergodic exponential maps with escaping singular behaviours — Weiwei Cui, Jun Wang · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS