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The topological dynamics of semigroup actions

David B. Ellis, Robert Ellis, Mahesh Nerurkar

Transactions of the American Mathematical Society · 2000 · 81 citations · 8 references

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Abstract

In these notes we explore the fine structure of recurrence for semigroup actions, using the algebraic structure of compactifications of the acting semigroup.

References

8

RECURRENCE IN ERGODIC THEORY AND COMBINATORIAL NUMBER THEORY

L. N. Vaserstein · Bulletin of the London Mathematical Society · 1982 · 328 citations

, , +11

Poincaré recurrence and number theory

Harry Furstenberg · Bulletin of the American Mathematical Society · 1981 · 88 citations · Full text

, , +14

Idempotents in compact semigroups and Ramsey theory

Hillel Fürstenberg, Yitzhak Katznelson · Israel Journal of Mathematics · 1989 · 78 citations

, , +6

The Furstenberg structure theorem

Robert Ellis · Pacific Journal of Mathematics · 1978 · 63 citations · Full text

, , +7

Topological ergodic decompositions and applications to products of powers of a minimal transformation

Eli Glasner · Journal d Analyse Mathématique · 1994 · 60 citations

, , +12