Colloque des sciences mathématiques du Québec

7 octobre 2022 de 15 h 30 à 16 h 30 (heure de Montréal/HNE)

(Prix-CRM-Fields-Pims) Random plane geometry -- a gentle introduction

Colloque par Balint Virag (University of Toronto)

Consider Z^2, and assign a random length of 1 or 2 to each edge based on independent fair coin tosses. The resulting random geometry, first passage percloation, is conjectured to have a scaling limit.

Most random plane geometric models (including hidden geometries) should have the same scaling limit.

I will explain the basics of the limiting geometry, the "directed landscape", the central object in the class of models named after Kardar, Parisi and Zhang.


Hybride - CRM, Salle / Room 6214, Pavillon André Aisenstadt / Zoom