Past Events

We describe detailed two-sided inequalities for the three-player ruin problem and related estimates for killed random walks in inner-uniform finite subset of grids and other graphs. The key is the simultaneous use of the appropriate Doob transform...

Conway mutation is an operation on links that is notoriously difficult to detect: it preserves many link invariants such as the signature, the Alexander polynomial or, more generally, the HOMFLY polynomial. Baldwin and Levine conjectured that δ...

The Hedtrich lab is developing human-based organ models with a current focus on skin and lung. They are specifically interested in the modeling of inflammatory and genetic diseases in vitro and use the organ models to study (patho)physiological...

We explore classes of graphs on which a large number of pursuers are required to capture an evader. We give a lower bound for the cop number of graphs of high girth that improves a result of P. Frankl. We also consider lower bounds for the cop number...

Algebraic geometry is the study of geometric objects defined as the solution set of a system of polynomial equations p1,…,pr∈F[x1,…,xn] where F is an algebraically closed field. After recent spectacular progress in the classification of varieties...

Multiplayer games model the behavior of competing agents, and we are interested in the structure that emerges when the number of agents is large. The Dyson and Coulomb games are N-agent dynamic games that admit well studied models of statistical...

When subjects are exposed to full field flicker in certain frequencies, they perceive a variety of complex geometric patterns that are often called flicker hallucinations. On the other had, when looking at high contrast geometric patterns like op art...

For a symmetric diffusion, we show that the two-sided sub-Gaussian heat kernel estimate implies singularity of energy measures with respect to the reference measure. This gives an affirmative answer to a conjecture of Barlow (2003). This is joint...

One of the best studied experimental models for selforganization in embryonic development is the formation of skeletal elements in tetrapod limbs, in particular in the chicken and the mouse. Here cells aggregate to form chondrogenic condensations...

The discrete moment problem is a foundational problem in distribution-free robust optimization, where the goal is to find a worst-case distribution that satisfies a given set of moments. This paper studies the discrete moment problems with additional...