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- Artin–Mazur_zeta_function abstract "In mathematics, the Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, is a tool for studying the iterated functions that occur in dynamical systems and fractals.It is defined as the formal power serieswhere Fix(ƒ n) is the set of fixed points of the nth iterate of an iterated function ƒ, and card(Fix(ƒ n)) is the cardinality of this set of fixed points.Note that the zeta function is defined only if the set of fixed points is finite. This definition is formal in that it does not always have a positive radius of convergence.The Artin–Mazur zeta function is invariant under topological conjugation. The Milnor–Thurston theorem states that the Artin–Mazur zeta function is the inverse of the kneading determinant of ƒ.".
- Artin–Mazur_zeta_function wikiPageID "1342156".
- Artin–Mazur_zeta_function wikiPageRevisionID "590322866".
- Artin–Mazur_zeta_function subject Category:Dynamical_systems.
- Artin–Mazur_zeta_function subject Category:Fixed_points_(mathematics).
- Artin–Mazur_zeta_function subject Category:Zeta_and_L-functions.
- Artin–Mazur_zeta_function comment "In mathematics, the Artin–Mazur zeta function, named after Michael Artin and Barry Mazur, is a tool for studying the iterated functions that occur in dynamical systems and fractals.It is defined as the formal power serieswhere Fix(ƒ n) is the set of fixed points of the nth iterate of an iterated function ƒ, and card(Fix(ƒ n)) is the cardinality of this set of fixed points.Note that the zeta function is defined only if the set of fixed points is finite.".
- Artin–Mazur_zeta_function label "Artin-Mazursche Zeta-Funktion".
- Artin–Mazur_zeta_function label "Artin–Mazur zeta function".
- Artin–Mazur_zeta_function label "Función zeta de Artin-Mazur".
- Artin–Mazur_zeta_function sameAs Artin%E2%80%93Mazur_zeta_function.
- Artin–Mazur_zeta_function sameAs Artin-Mazursche_Zeta-Funktion.
- Artin–Mazur_zeta_function sameAs Función_zeta_de_Artin-Mazur.
- Artin–Mazur_zeta_function sameAs Q713051.
- Artin–Mazur_zeta_function sameAs Q713051.
- Artin–Mazur_zeta_function wasDerivedFrom Artin–Mazur_zeta_function?oldid=590322866.