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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 finite-difference approximations. Exact and asymptotic formulas for the volumes of a certain class of polyhedra are received.

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