Existence of invariant measures for transcendental subexpanding functions

DOI10.1007/s00209-002-0446-2zbMath1220.37038OpenAlexW2009605916WikidataQ115181065 ScholiaQ115181065MaRDI QIDQ1566410

Janina Kotus, Mariusz Urbański

Publication date: 2 June 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-002-0446-2

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (7)

Elliptic functions with critical points eventually mapped onto infinity ⋮ No finite invariant density for Misiurewicz exponential maps ⋮ Invariant measures for meromorphic Misiurewicz maps ⋮ Non-ergodic maps in the tangent family ⋮ Hausdorff dimension of the set of elliptic functions with critical values approaching infinity ⋮ Nice sets and invariant densities in complex dynamics ⋮ Thermodynamic Formalism and Geometric Applications for Transcendental Meromorphic and Entire Functions

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