Discontinuity of a degenerating escape rate

DOI10.1090/ecgd/318zbMath1406.37039arXiv1710.01660OpenAlexW2963208121MaRDI QIDQ4687473

Yûsuke Okuyama, Laura DeMarco

Publication date: 12 October 2018

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01660

zbMATH Keywords

potentialescape ratebifurcation currentholomorphic family

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (4)

Variation of canonical height for Fatou points on \(\mathbb{P}^1\) ⋮ DEGENERATION OF ENDOMORPHISMS OF THE COMPLEX PROJECTIVE SPACE IN THE HYBRID SPACE ⋮ Approximation of non-archimedean Lyapunov exponents and applications over global fields ⋮ Degeneration of quadratic polynomial endomorphisms to a Henon map

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