Non-equilibrium Dynamics and Random Matrices | |

Topic: | Free entropy |

Speaker: | Philippe Biane |

Affiliation: | UniversitĂ© Paris-Est Marne-la-VallĂ©e |

Date: | Tuesday, April 22 |

Time/Room: | 2:00pm - 3:00pm/S-101 |

Video Link: | http://video.ias.edu/nedrm/2014/0422-PhilippeBiane |

Free entropy is a quantity introduced 20 years ago by D. Voiculescu in order to investigate noncommutative probability spaces (e.g. von Neumann algebras). It is based on approximation by finite size matrices. I will describe the definition and main properties of this quantity as well as applications to von Neumann algebras. I will also explain a new approach based on work with Y. Dabrowski, using random matrices, which leads to the solution of some problems concerning this quantity.