Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10481042 | Physica A: Statistical Mechanics and its Applications | 2012 | 8 Pages |
Abstract
⺠Existence of an H-theorem for the Brownian motion with constant external drift on the hyperbolic plane. ⺠The associated entropy is of Rényi type. ⺠The parameter of this entropy depends on the value of the external drift. ⺠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
C. Vignat, P.W. Lamberti,