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• W1999707789 abstract "This paper introduces new invariants for multiparameterdynamical systems. This is done by counting the number of pointswhose orbits intersect at time n under simultaneous iteration of finitelymany endomorphisms. We call these points synchronization points.The resulting sequences of counts together with generating functionsand growth rates are subsequently investigated for homeomorphisms ofcompact metric spaces, toral automorphisms and compact abelian groupepimorphisms. Synchronization points are also used to generate invariantmeasures and the distribution properties of these are analysed for thealgebraic systems considered. Furthermore, these systems reveal strongconnections between the new invariants and problems of active interestin number theory, relating to heights and greatest common divisors" @default.
• W1999707789 created "2016-06-24" @default.
• W1999707789 creator A5053776694 @default.
• W1999707789 date "2013-04-02" @default.
• W1999707789 modified "2023-09-30" @default.
• W1999707789 title "Synchronization points and associated dynamical invariants" @default.
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• W1999707789 doi "https://doi.org/10.1090/s0002-9947-2013-05829-1" @default.
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