Past Events

This is a continuation of the first lecture given on Monday. See here for more details

Given a discrete subset V in the plane, how many points would you expect there to be in a ball of radius 100? What if the radius is 10,000? Due to the results of Fairchild and forthcoming work with Burrin, when V arises as orbits of non-uniform...

Throughout the lifespan of an organism, tissues are remodeled to shape organs and organisms and to maintain tissue integrity and homeostasis. Apical constriction is a ubiquitous cell shape change of epithelial tissues that promotes epithelia folding...

This is a continuation of the first lecture given on Monday. See here for more details

Mixing and hitting times are fundamental parameters of a Markov chain. In this mini-course I will discuss connections between them for reversible Markov chains.

We thank all registrants for their interest in this event. However, ithe organizers have decided to cancel this event in the interest of public health and safety. If you had registered for this event, an email will be sent to you on the refund...

This talk will present Veech's criterion for an ergodic probability measure preserving system to be prime. It will define factors of measure preserving systems, prime and self-joinings and provide examples. It uses disintegration of measures, the...

Diffusion is the enemy of life. This is because diffusion is a ubiquitous feature of molecular motion that is constantly spreading things out, destroying molecular aggregates. However, all living organisms, whether single cell or multicellular have...

This is a continuation of the the first lecture given on Monday. See here for more details

Many important models in integrable probability (e.g. the KPZ equation, solvable directed polymers, ASEP, stochastic six vertex model) can be embedded into Gibbisan line ensembles. This hidden probabilistic structure provides new tools to control the...