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We show a multiple recurrence theorem for topological \linebreak dynamical systems with countable directed partial semigroup actions, which generalizes the well-know IP-version of multiple recurrence theorem proved by Furstenberg and Weiss.
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참고문헌 (6)
참고문헌 신청
Vassiliki Farmaki / 2016 / Topological dynamics on nets / Topology and its Applications 201:414~431
Vassiliki Farmaki / 2012 / Topological dynamics indexed by words / Topology and its Applications 159(7):1678~1690
Stefano Ferri / 2008 / Digital representation of semigroups and groups / Semigroup Forum 77(1):36~63
H. Furstenberg / 1981 / Recurrence in Ergodic Theory and Combinatorial Number Theory / Princeton University Press
H. Furstenberg / 1978 / Topological dynamics and combinatorial number theory / Journal d'Analyse Mathématique 34(1):61~85
Vassiliki Farmaki / 2012 / Topological dynamics indexed by words / Topology and its Applications 159(7):1678~1690
Stefano Ferri / 2008 / Digital representation of semigroups and groups / Semigroup Forum 77(1):36~63
H. Furstenberg / 1981 / Recurrence in Ergodic Theory and Combinatorial Number Theory / Princeton University Press
H. Furstenberg / 1978 / Topological dynamics and combinatorial number theory / Journal d'Analyse Mathématique 34(1):61~85
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