Dear colleagues,

I would like to announce the following online seminar organized by the Probability group of the University of Pisa. The talks will be accessible under the link

Click here to join the meetinghttps://teams.microsoft.com/l/meetup-join/19%3a17115d7f6ef44c5e91974362906cfc95%40thread.tacv2/1605021665843?context=%7b%22Tid%22%3a%22c7456b31-a220-47f5-be52-473828670aa1%22%2c%22Oid%22%3a%22dfd1e5f6-331d-43e0-a180-4bb6ce727fb7%22%7d

Best regards,

Giacomo

Tuesday, Nov. 24, 14:00

Speaker: Alessandra Cipriani (TU Delft)

Title: Some properties of the discrete membrane model

Abstract: In this talk I will discuss recent results obtained in joint work with Ajay Chandra (Imperial) and Hendrik Weber (Bath) about the large-scale behaviour of the $\phi^4_3$ Euclidean field theory. In particular, I will discuss a surface order large deviations estimate for the average magnetisation at sufficiently low temperatures in large but finite volumes. This is a manifestation of phase transition, which is well-known for this model. As a byproduct of this, one can quantify a breakdown of ergodicity for the Glauber dynamics of this model - given by the dynamical $\phi^4_3$ singular SPDE - for sufficiently low temperatures in the infinite volume limit.

Tuesday, Nov. 24, 15:00

Speaker: Trishen Gunaratnam (Université de Genève)

Title: Phase transitions for $\phi^4_3$

Abstract: In this talk I will discuss recent results obtained in joint work with Ajay Chandra (Imperial) and Hendrik Weber (Bath) about the large-scale behaviour of the $\phi^4_3$ Euclidean field theory. In particular, I will discuss a surface order large deviations estimate for the average magnetisation at sufficiently low temperatures in large but finite volumes. This is a manifestation of phase transition, which is well-known for this model. As a byproduct of this, one can quantify a breakdown of ergodicity for the Glauber dynamics of this model - given by the dynamical $\phi^4_3$ singular SPDE - for sufficiently low temperatures in the infinite volume limit.