You are all cordially invited to the next Mark Kac seminar on March 1st. PhD students are especially invited to attend.
Friday March 1
Utrecht, Janskerkhof 3 (Utrecht), room 019
Speaker: Anna de Masi (U L’Aquila)
Title : Evolution and structure of interfaces in interacting particle systems II
Speaker: Mylene Maida (U Lille)
Title : A statistical physics approach to the sine beta process
Abstract: Anna de Masi
In the second lecture I will discuss some interface problems which arise from physics. The context is the Fourier-Fick law where a stationary current flows in a system driven by the boundaries which are put in contact with suitable reservoirs. This is a much studied problem but only recently there have been results in models with phase transition, (DM,Olla,Presutti, arxiv.org/ abs/1812.05799, 2018). I will present these models where the stationary non equilibrium distribution is known explicitly and exploit this to compare the stationary fluctuations of the interface in this case where a non zero current is present, with those at thermal equilibrium.
Abstract: Mylene Maida
The Sine process is a fascinating determinantal point process. It appears as the bulk limit of some particle systems in various contexts (random matrices, zeros of L-funtions, growth models etc.) Its universality properties have drawn a lot of attention. From the point of view of statistical physics, it models the microscopic behavior of a one-dimensional log-gas at inverse temperature beta equals to two. More recently, Valko and Virag introduced a family of point processes as the bulk limit of Gaussian beta ensembles, for any positive beta. As soon as beta is different from two, much less is known. In a work with David Dereudre, Adrien Hardy (Université de Lille) and Thomas Leblé (Courant Institute, New York), we use tools from classical statistical mechanics based on Dobrushin-Lanford-Ruelle equations to better understand the Sine beta process and in particular show that it is number-rigid.
The Mark Kac seminar is an activity of the STAR stochastics cluster. See also our website http://www.win.tue.nl/markkac
The next Mark Kac speaker are:
1.Christophe Garban (Lyon)
2. Augusto Texeira (IMPA)
1.Carlangelo Liverani (Rome)
2.Siamak Taati (Groningen)
1.Jan Wehr (Tucson, Arizona)
2.Cyril Lucas (Paris)