Titles and abstracts:

Omer Angel: min-max trees

On a regular tree, assign each vertex a random independent value. Two players alternate choosing a child of the current vertex. When reaching level n, player 1 receives from player 2 the cumulative sum of the values along the chosen path. We show that in some cases the value of this game converges as n\to\infty. Joint work with Gourab Ray and Yinon Spinka.

Annoucement

Milton Jara: NESS for KPZ

Using the nonlinear SEP(a) as an example, we present a general strategy of proof to show that the invariant measures (Non-Equilibrium Stationary States) of boundary driven, weakly asymmetric, conservative systems on the interval are described by stationary energy solutions of the boundary-driven KPZ equation. Conditioned to the uniqueness of such solutions, we conclude that the fluctuations of the density under such NESS are described by the process introduced by Barraquand, Bryc, Corwin, Knizel et al. 

Joint work with Juan Arroyave (IMPA). 

Announcement