Abstract: I will discuss an approach to log-Sobolev inequalities that combines the Bakry-Emery theory with renormalisation and present several applications. These include log-Sobolev inequalities for Ising models up the critical point very generally, with polynomial dependence of the log-Sobolev constant on Z^d when d>4, singular SPDEs with uniform dependence of the log-Sobolev constant on both the regularisation and the volume, and the SK spin glass model at high temperature. The talk is based on joint works with Thierry Bodineau and Benoit Dagallier.
Bakry-Emery theory and renormalisation
14.12.2022 16:45 - 16:45
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Location:
IST Austria, Seminar Room Mondi 2, Central Building