Past Events

I will present our recent results on estimating the Lyapunov exponents of weakly-damped, weakly-dissipated stochastic differential equations. Our primary tool is a new, mildly-quantitative version of Furstenberg’s criterion.

Host diversification methods such as within-field mixtures (or field mosaics, depending on the spatial scale considered) are promising methods for agroecological plant disease control. We explore disease spread in host mixtures (or field mosaics)...

Calderón's problem (also called electrical impedance tomography) asks the question of whether one can determine the electrical conductivity of a medium by making voltage and current measurements at the boundary. I will give a survey of some of the...

A large body of theory predicts that populations dispersing in heterogeneous environments reach higher total size than if non-diffusing, and, paradoxically, higher size than in a corresponding homogeneous environment. However, this theory and its...

Given a smooth plane curve C defined over an arbitrary field k, we say that C is transverse-free if it has no transverse lines defined over k. If k is an infinite field, then Bertini’s theorem guarantees the existence of a transverse line defined...

The structure of the eigenvalues of a quantum system, that is of its spectrum, is crucial to its study. The spectrum of the "ice model" (six vertex model) was computed in the seminal work of Baxter. It has a remarkable form involving polynomials and...

Certain convex functions on $R^n$ produce quasi-distances and Borel measures on $R^n$. Furthermore, their Hessians can shape degenerate/singular elliptic operators. We will describe geometric and measure-theoretic conditions on convex functions that...

defined using the Beilinson-Drinfeld Grassmannian. In this talk, we present a conceptually elementary approach to computing this product in type A when the varieties are MV cycles. As an application, we can compute all cluster exchange relations in...

With the advancement in the high performance computing (HPC), it has become feasible to simulate various physical processes and phenomena. Such processes have applications ranging from energy & transportation sector to biological research. The...

We prove universality of spin correlations in the scaling limit of the planar Ising model on isoradial graphs and Z–invariant weights. Specifically, we show that in the massive scaling limit, (i. e. as the mesh size tends to zero at the same rate as...