Poincaré series and instability of exponential maps

zbMath1219.37035arXivmath/0506143MaRDI QIDQ2469335

Guillermo Sienra, Peter M. Makienko

Publication date: 5 February 2008

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506143

zbMATH Keywords

Poincaré seriesexponential familyRuelle operatorline fieldscomplex dynamical systemspostcritical setstructural instabilityBeltrami differentials

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

Summability condition and rigidity for finite type maps ⋮ Repelling periodic points and landing of rays for post-singularly bounded exponential maps ⋮ Perturbing Misiurewicz parameters in the exponential family

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