Dynamic Random Walks on Heisenberg Groups
Identifieur interne : 005497 ( Main/Exploration ); précédent : 005496; suivant : 005498Dynamic Random Walks on Heisenberg Groups
Auteurs : Nadine Guillotin-Plantard [France] ; René Schott [France]Source :
- Journal of Theoretical Probability [ 0894-9840 ] ; 2006-06-01.
English descriptors
Abstract
We prove a Guivarc’h law of large numbers and a central limit theorem for dynamic random walks on Heisenberg groups. The limiting distribution is explicitely given. To our knowledge this is the first study of dynamic random walks on non-commutative Lie groups.
Url:
DOI: 10.1007/s10959-006-0021-6
Affiliations:
- France
- Auvergne-Rhône-Alpes, Grand Est, Lorraine (région), Rhône-Alpes
- Lyon, Vandœuvre-lès-Nancy
- Université Claude Bernard Lyon 1
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The limiting distribution is explicitely given. 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