Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps

DOI10.1088/1361-6544/ab853ezbMath1453.37044arXiv1902.06732OpenAlexW3036504075MaRDI QIDQ3300377

Genadi Levin, Sebastian J. van Strien, Wei Xiao Shen

Publication date: 28 July 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.06732

zbMATH Keywords

transversalitytransfer operatorholomorphic motionsone-dimensional dynamics

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Holomorphic families of dynamical systems; holomorphic motions; semigroups of holomorphic maps (37F44)

Related Items (8)

Monotonicity of entropy for unimodal real quadratic rational maps ⋮ Asymmetric unimodal maps with non-universal period-doubling scaling laws ⋮ Fixed points of the Ruelle–Thurston operator and the Cauchy transform ⋮ Transversality in the setting of hyperbolic and parabolic maps ⋮ On the non-monotonicity of entropy for a class of real quadratic rational maps ⋮ A survey on computing the topological entropy of cubic polynomials ⋮ Entropy charts and bifurcations for Lorenz maps with infinite derivatives ⋮ Monotonicity of entropy for real quadratic rational maps

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