Past Events

Lyapunov exponents and Oseledets spaces are a rough analogue of eigenvalues and eigenspaces for stationary products of matrices (or operators). We are interested in the stability or otherwise of these exponents and spaces when the family of matrices...

The endothelial lining of blood vessels presents a large surface area for exchanging materials between blood and tissues. The endothelial surface layer (ESL) plays a critical role in regulating vascular permeability, hindering leukocyte adhesion as...

This talk addresses the moduli space of complete, conformally flat metrics metrics on a sphere with k punctures having constant positive Q-curvature and positive scalar curvature. Previous work has shown that such metrics admit an asymptotic...

Given a smooth function Φ:ℝ→ℝd, we ask whether every Borel subset of ℝd with sufficiently high Hausdorff dimension contains a pair of the form {x,x+Φ(t)} with Φ(t)≠0. We prove that a large class of ``curved” functions have this property while certain...

The development of precision medicine for cancer requires accurately quantifying the dynamics of tumor evolution. Two reasons this can be difficult are the limited number of times we can observe the tumor and intra-tumor heterogeneity that is...

We will discuss graphs that have a unique hamiltonian cycle and are vertex-transitive, which means there is an automorphism that takes any vertex to any other vertex. Cycles are the only examples with finitely many vertices, but the situation is more...

The 22nd Northwest Probability Seminar is supported by the University of Oregon, Pacific Institute for the Mathematical Sciences (PIMS), Baidu, University of Washington (Friends of Mathematics Fund), and Milliman Fund. The Birnbaum Lecture in...

In 3D modeling, medical imaging, and other disciplines, popular techniques for geometry processing often rely on mathematical models for surface geometry, viewing shapes as thin sheets embedded in $\mathbb{R}^3$; this construction neglects the fact...

After a review of n-by-n permutation matrices and n-by-n alternating sign matrices (ASMs), and their relationship, we will discuss the cones that they generate and their Hilbert Bases.

Given positive integers $p,q$ where $p$ is even and $p\geq 2q$, a circular $\frac{p}{q}$-flow in a mono-directed signed graph $(G, \sigma)$ is a pair $(D, f)$ where $D$ is an orientation on $G$ and $f: E(G)\to \mathbb{Z}$ satisfies that for each...