Measure rigidity for some transcendental meromorphic functions | Zendy

Agnieszka Badeńska | Zendy

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Measure rigidity for some transcendental meromorphic functions

Author(s) -

Agnieszka Badeńska

Publication year - 2012

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2012.32.2375

Subject(s) - meromorphic function , transcendental number , measure (data warehouse) , logarithm , rigidity (electromagnetism) , mathematics , pure mathematics , rational function , mathematical analysis , physics , computer science , quantum mechanics , database

We consider hyperbolic meromorphic functions of the following form $f(z)=R\circ\exp(z)$, where $R$ is a non-constant rational function, satisfying so-called rapid derivative growth condition. We study several types of conjugacies in this class and prove a~measure rigidity theorem in the case when $f$ has a logarithmic tract over $\infty$ and under some additional assumptions.

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