Estimates of distances between transition probabilities of diffusions


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Abstract

We obtain upper bounds for the total variation and entropy distances between probability solutions to two Fokker–Planck–Kolmogorov equations with different diffusion matrices and drifts

About the authors

V. I. Bogachev

Department of Mechanics and Mathematics; St. Tikhon’s Orthodox University

Author for correspondence.
Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; Moscow

M. Röckner

Fakultät für Mathematik

Email: vibogach@mail.ru
Germany, Bielefeld, D-33501

S. V. Shaposhnikov

Department of Mechanics and Mathematics; St. Tikhon’s Orthodox University

Email: vibogach@mail.ru
Russian Federation, Moscow, 119991; Moscow


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