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1 IECN - Institut √Člie Cartan de Nancy 2 LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications 3 Department of Mathematics and Statistics - Southern Illinois University

Abstract : Multiplicative random walks with dynamic transitions are defined on Clifford algebras of arbitrary signature. These multiplicative walks are then summed to induce additive walks on the algebra. Properties of both types of walks are considered, and limit theorems are developed.

Keywords : Clifford algebras random walks dynamical systems hypercubes

Author: René Schott - Stacey Staples -

Source: https://hal.archives-ouvertes.fr/


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