

Mathematical problems of quantum theory of nanosystems and photosynthesis
September 17, 2015 14:00






Relativistic Brownian motion and volumes of polyhedra
È. A. Kuryanovich^{} 
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Abstract:
An approach to the theory of a relativistic Brownian motion using path integral method, taking into account the speed limit, is reviewed. The relativistic analogue of the Wiener measure is constructed as a weak limit of finitedifference approximations. Exact and asymptotic formulas for the volumes of a certain class of polyhedra are received.

