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Semigroups in Probability Theory

  • Paul Ressel
Chapter

Abstract

Semigroups are very natural and general structures and enter our mathematical life from the very beginning (N with respect to addition, multiplication, maximum or minimum, sets with respect to union or intersection). Due to their simple axioms they are very often and easily found. If M is a nonempty set and S = M M is the set of all mappings from M to M, then S is a semigroup with respect to composition, and in fact every semigroup can be realized as a subsemi-group of M M for some M.

Keywords

Point Process Random Measure Positive Definite Matrix Positive Definiteness Neutral Element 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Paul Ressel
    • 1
  1. 1.Katholische Universität EichstättEichstättGermany

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