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This paper presents an explanation of recurrence for semigroup actions from two points of view. The first one considers the concept of recurrence in the Poincaré sense as stated in… Click to show full abstract
This paper presents an explanation of recurrence for semigroup actions from two points of view. The first one considers the concept of recurrence in the Poincaré sense as stated in Souza (Semigroup Forum 83:351–370, 2011) while the second one considers the notion of recurrence via a Fursternberg family as defined in Akin (Recurrence in Topological Dynamics. Furstenberg and Ellis Action. Plenum Press, New York, 1997). A relationship between these notions of recurrence is presented.
Keywords:
recurrence;
family;
semigroup actions;
recurrence semigroup;
note poincar
Journal Title: Semigroup Forum
Year Published: 2017
Link to full text (if available)
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Journal Title: Semigroup Forum
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!