Zusammenfassung für den Vortrag am 17.09.2020 (17:00 Uhr)

Webinar “Analysis, Quantum Fields, and Probability”

Thierry Bodineau (École Polytechnique)
Log-Sobolev inequality for the continuum sine-Gordon model

We derive a multiscale generalisation of the Bakry-Emery criterion for a measure to satisfy a Log-Sobolev inequality. Our criterion relies on the Polchinski equation which is well known in renormalisation theory. This multiscale approach implies the usual Bakry-Emery criterion, but we show that it remains effective for measures which are far from log-concave. In particular, it applies to the Glauber and Kawasaki dynamics of the massive continuum sine-Gordon model with $\beta < 6 \pi$ and leads to asymptotically optimal Log-Sobolev inequalities.

This is joint work with Roland Bauerschmidt.

Webinar links and passwords and program updates will be distributed via email. If you would like to be added to the mailing list, please sign up for the mailing list at lists.uni-leipzig.de/mailman/listinfo/aqfp_announcements.