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Diffusion on braided spaces

Identifieur interne : 00AD92 ( Main/Exploration ); précédent : 00AD91; suivant : 00AD93

Diffusion on braided spaces

Auteurs : U. Franz [France, Allemagne] ; R. Schott [France]

Source :

RBID : Pascal:98-0198726

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English descriptors

Abstract

The notion of q-Brownian motion introduced by Majid is extended to braided spaces corresponding to a generic R-matrix, and combined with the theory of quantum probability. This leads to a definition of diffusions on these spaces. The corresponding heat equations (difference-differential equations) are solved in terms of Appell polynomials (i.e., shifted moment systems). Some examples of interest for applications are given. © 1998 American Institute of Physics.


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