논문KCI 등재
A multiple recurrence theorem for countable directed partial semigroup actions
대한수학회 (The Korean Mathematical Society)|2019.11|대한수학회보 (Bulletin of the KMS)|제56권 제6호|pp. 1577-1588|DOI 10.4134/BKMS.b190013
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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.
Abstract
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.
참고문헌 (6)
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- Stefano Ferri, "Digital representation of semigroups and groups", Semigroup Forum, 77(1), pp.36~63 (2008), Springer Science and Business Media LLC[DOI]
- H. Furstenberg, "Recurrence in Ergodic Theory and Combinatorial Number Theory" (1981), Princeton University Press
- H. Furstenberg, "Topological dynamics and combinatorial number theory", Journal d'Analyse Mathématique, 34(1), pp.61~85 (1978), Springer Science and Business Media LLC[DOI]
- Neil Hindman, "Finite sums from sequences within cells of a partition of N", Journal of Combinatorial Theory, Series A, 17(1), pp.1~11 (1974), Elsevier BV[DOI]
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