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Dynamic Random Walks on Heisenberg Groups |
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| Authors: | Nadine Guillotin-Plantard René Schott |
| Institution: | (1) Université Claude Bernard Lyon 1, 50, av. Tony-Garnier, 69366 Lyon Cedex 07, France;(2) IECN and LORIA, Université Henri Poincaré-Nancy 1, 54506 Vandoeuvre-lès-Nancy, France |
| 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. |
| Keywords: | Dynamic random walks group theory dynamical systems Lévy stochastic area |
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