Artin–Mazur zeta function

id: artin-mazur-zeta-function-258-1537005
title: Artin–Mazur zeta function
text: In mathematics, the Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, is a function that is used for studying the iterated functions that occur in dynamical systems and fractals. It is defined from a given function f as the formal power series where Fix ⁡ is the set of fixed points of the n th iterate of the function f , and | Fix ⁡ | is the number of fixed points. Note that the zeta function is defined only if the set of fixed points is finite for each n . This definition is
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original url: https://en.wikipedia.org/wiki/Artin%E2%80%93Mazur_zeta_function
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date modified: 2022-11-10T14:50:15Z
main entity: {"identifier":"Q713051","url":"https://www.wikidata.org/entity/Q713051"}
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