Article ID Journal Published Year Pages File Type
10481042 Physica A: Statistical Mechanics and its Applications 2012 8 Pages PDF
Abstract
► Existence of an H-theorem for the Brownian motion with constant external drift on the hyperbolic plane. ► The associated entropy is of Rényi type. ► The parameter of this entropy depends on the value of the external drift. ► Both representations of the constant negative curvature space as the Poincaré upper half-plane and the disk are considered.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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