Erd\H{o}s space in Julia sets

arXiv2004.12976MaRDI QIDQ6339520

David Sumner Lipham

Publication date: 27 April 2020

Abstract: We prove that the rational Hilbert space $mathfrakE$, known as ErdH{o}s space, surfaces in complex dynamics via iteration of $e^z-1$.

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dimension theory in general topology (54F45)

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