# Mathematics Colloquia and Seminars

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### Entropy production and convergence to equilibrium

**Colloquium**

Speaker: | Cedric Villani, Ecole Normale Sup |

Location: | 693 Kerr |

Start time: | Mon, May 3 2004, 4:10PM |

Boltzmann's H Theorem predicts that under adequate assumptions, a rarefied gas will tend to a state of maximal entropy in large time. There has been huge effort and progress in the quantitative study of this phenomenon during the last 10 years. I will present some of these advances in a non-technical way, insisting on the links between this field and other topics in mathematics, such as information theory, central limit theorem, logarithmic Sobolev inequalities, hypoellipticity... Lecture notes on the subject can be found at http://www.umpa.ens-lyon.fr/~cvillani/surveys.html#entropyprod