Past Events

The stochastic heat equation (driven space-time white noise) arises from interface growth dynamics via the Kardar-Parisi-Zhang equation and from the theory of disordered systems via continuum directed random polymers. Despite these physical relations...

Consider a group G acting transitively on the vertices of an infinite, cubic (3-regular) graph Gamma such that the vertex stabilizers are infinite. We will see that if G is also edge-transitive on Gamma, then Gamma is the infinite cubic tree, and if...

Abstract: I will introduce a skeleton obtained directly from monomial relations in a finite quiver without cycles, and relate the construction to some classical examples in mirror symmetry. This is work in progress with David Favero. Speaker...

Stein’s method is a set of techniques for bounding distances between probability measures via integration-by-parts formulas. It was introduced by Stein in the 1980s for bouding the rate of convergence in central limit theorems, and has found many...

Abstract: Voronoi tessellations give rise to a wealth of analytic, geometric, and computational questions. They are also very useful in modelling. This talk will consist of three parts. In the first, I will address the simple, yet rich, question of...

A perfect matching (   P M ) in the complete graph K 2 k K 2 k is a set of edges by which every vertex is covered exactly once. Two   P M s are said to be t t -intersecting if they have at least t t edges in common. Another type pf intersection...

Hurwitz numbers are counts of maps between Riemann surfaces with specified ramification profiles. Alternatively, they may be seen as counting decompositions of the identity in symmetric groups into permutations of given cycle type or as certain...

In this talk, we explore the simple, yet rich, paradigm of optimal quantization (alternatively, optimal centroidal Voronoi tessellations (CVT)). The 3D Gersho's conjecture may be viewed as a crystallization conjecture and asserts the periodic...

Abstract: I will describe variational problems whose solutions imply statements about dynamical systems, as well as how relaxations of these variational problems often can be solved computationally using tools of polynomial optimization. The talk...

In this paper we present a general framework in which one can rigorously study the effect of spatio-temporal noise on traveling waves, stationary patterns and oscillations that are invariant under the action of a finite-dimensional set of continuous...