Past Events

In this talk I will discuss activated random walk (ARW) and the stochastic sandpile (SSM), two interacting particle systems that exhibit a phase transition on infinite domains and self-organized criticality on finite domains. ARW and SSM both consist...

Mean Field Game (MFG) theory studies strategic decision problems in large populations of interacting agents, which is now widely applied in economics, financial markets, engineering, social science, and many other areas. The generalization of...

Abstract: Zero mean, identically, independently distributed (i.i.d.) error is implicitly assumed in many data analysis algorithms. These assumptions are explained in example simulated data sets. Strategies to recognize violations in these assumptions...

Generative models such as Generative Adversarial Nets (GANs), Variational Autoencoders and Normalizing Flows have been very successful in the unsupervised learning task of generating samples from a high-dimensional probability distribution. However...

The PIMS-UBC Math Job Forum is an annual Forum to help graduate students and postdoctoral fellows in Mathematics and related areas with their job searches. The session is divided in two parts: short presentations from our panel followed by a...

Generative models such as Generative Adversarial Nets (GANs), Variational Autoencoders and Normalizing Flows have been very successful in the unsupervised learning task of generating samples from a high-dimensional probability distribution. However...

A directed graph H consists of a set V(H) of vertices together with a subset A(H) of V(H)×V(H) which are called arcs. A hamiltonian dipath in a digraph is a dipath that visits each vertex exactly once. The Cartesian product H 1◻H 2 of two digraphs H...

I will present new, non-asymptotic bounds on the heights of random combinatorial trees and conditioned Bienaymé trees, as well as stochastic inequalities relating the heights of combinatorial trees with different degree sequences. The tool for most...

Cartesian differential categories (CDC) come equipped with a differential combinator, which provides a categorical axiomatization of the directional derivative from multivariable calculus, and so produces a derivative for every map. An important...

Recursive distributional equations (RDEs) are ubiquitous in probability. For example, the standard Gaussian distribution can be characterized as the unique fixed point of the following RDE $$ X = (X_1 + X_2)/\sqrt(2), $$ among the class of centered...