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Hypocoercivity is written by Cdric Villani and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821844989 (ISBN 10) and 9780821844984 (ISBN 13).
This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form ${\frac{\partial f}{\partial t}}+ L f =0$. The question is whether and how one can overcome the degeneracy by exploiting commutators.