Vignat, C.; Lamberti, P.W. - In: Physica A: Statistical Mechanics and its Applications 391 (2012) 3, pp. 544-551
We study H-theorems associated with the Brownian motion with constant drift on the hyperbolic plane. Since this random process satisfies a linear Fokker–Planck equation, it is easy to show that, up to a proper scaling, its Shannon entropy is increasing over time. As a consequence, its...