01 March 2019

the next Mark Kac seminar

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:



April 5

1.Christophe Garban (Lyon)

2. Augusto Texeira (IMPA)



May 3

1.Carlangelo Liverani (Rome)

2.Siamak Taati (Groningen)


June 7

1.Jan Wehr (Tucson, Arizona)

2.Cyril Lucas (Paris)