The topological dynamics of semigroup actions - Concepedia

Concepedia

Publication | Open Access

The topological dynamics of semigroup actions

DOI Full Paper Access

80

Citations

8

References

2000

Year

David B. Ellis, Robert Ellis, Mahesh Nerurkar

Transactions of the American Mathematical Society

Spectral TheoryTopological DynamicsTopological SemigroupsRepresentation TheoryAlgebraic StructureTopological DynamicSemigroup ActionsAlgebraic CombinatoricsTransformation SemigroupsFine StructureUniversal AlgebraLie Theory

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

	Year	Citations
RECURRENCE IN ERGODIC THEORY AND COMBINATORIAL NUMBER THEORY L. N. Vaserstein Bulletin of the London Mathematical Society Theoretical MathematicsEntropyAmerican Mathematical SocietyH. FurstenbergEnumerative Combinatorics	1982	320
Poincaré recurrence and number theory Harry Furstenberg Bulletin of the American Mathematical Society	1981	85
Idempotents in compact semigroups and Ramsey theory Hillel Fürstenberg, Yitzhak Katznelson Israel Journal of Mathematics Topological SemigroupsAlgebraic CombinatoricsTransformation SemigroupsRamsey Theory	1989	78
The Furstenberg structure theorem Robert Ellis Pacific Journal of Mathematics	1978	63
Topological ergodic decompositions and applications to products of powers of a minimal transformation Eli Glasner Journal d Analyse Mathématique Topological SemigroupsTopological Ergodic DecompositionsTopological DynamicMinimal TransformationTopological Algebra	1994	57
Product recurrence and distal points J. Auslander, Hillel Fürstenberg Transactions of the American Mathematical Society Topological SemigroupsAnnotation Encoding=Product RecurrenceClosed SubsemigroupAnalytic Combinatorics	1994	21
Some Topological Semicommutative Van Der Waerden Type Theorems and their Combinatorial Consequences Vitaly Bergelson, Neil Hindman Journal of the London Mathematical Society Topological SemigroupsGeometric Group TheoryCompact Space XArbitrary SemigroupTopological Algebra	1992	16
Topological multidimensional van der Waerden theorem Aleksander Błaszczyk, Szymon Plewik, Sławomir Turek Commentationes Mathematicae Universitatis Carolinae	1989	13

Page 1