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Iteration of Rational Functions
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This article is published in American Mathematical Monthly.The article was published on 1991-01-01. It has received 972 citations till now. The article focuses on the topics: Elliptic rational functions & Rational function.read more
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The Arithmetic of Diophantine Approximation Groups I: Linear Theory
TL;DR: In this article, a paradigm for a global algebraic number theory of the reals is formulated with the purpose of providing a unified setting for algebraic and transcendental number theory, achieved through the study of subgroups of nonstandard models of Dedekind domains called diophantine approximation groups.
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Iteration of quadratic maps on matrix algebras
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Maximal abelian subalgebras of C⁎-algebras associated with complex dynamical systems and self-similar maps
Tsuyoshi Kajiwara,Yasuo Watatani +1 more
TL;DR: In this paper, the authors consider an analogy among Markov shifts, complex dynamical systems and self-similar maps, and show that C (J R ) is a maximal abelian subalgebra of O R ( J R ) and C ( K ) is an O R ⁎ -algebra.
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A family of optimal fourth-order methods for multiple roots of nonlinear equations
TL;DR: In this article, the authors presented a study partially supported by the Ministerio de Economia y Competitividad MTM2014?52016?C2?2?P, Generalitat ValencianaPROMETEO/2016/089, and Schlumberger Foundation?Faculty for Future Program