Periodic points of rational functions in the \(p\)-adic hyperbolic space

DOI10.4171/CMH/27zbMath1140.37337OpenAlexW2013995588MaRDI QIDQ2388659

Juan Rivera-Letelier

Publication date: 15 September 2005

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0010-2571&vol=80&iss=3&rank=6

zbMATH Keywords

hyperbolic spaceperiodic pointsrational maps\(p\)-adic fields

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Low-dimensional dynamical systems (37E99) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

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