Past Events

A process Y is a factor of a process X if it can be written as Y=F(X) for some function F which commutes with translations. The factor is finitary if Y_0 is almost surely determined by some finite portion of the input X. Given a process Y, the...

We discuss some recent results on elliptic and parabolic equations (local and non-local, in divergence form and non-divergence form) in Sobolev spaces, especially when the coefficients are very rough. We also discuss a few approaches for the unique...

The trace of a matrix does not seem like an operation that should be iterated, but if we step back and think of trace as an operation on endomorphisms (or almost endomorphisms) that is invariant under cyclic permutation this becomes more plausible. I...

In this talk, I will describe some progress towards the construction of the 3D Yang-Mills (YM) measure. In particular, I will introduce a state space of “distributional gauge orbits” which may possibly support the 3D YM measure. Then, I will describe...

The Maximum Entropy Principle (MaxEnt) is a powerful inference principle to determine the probability distribution that describes a system on the basis of the information available, usually in the form of averages of observables (random variables) of...

This talk focuses on the central role played by optimal transport theory in the study of incomplete econometric models. Incomplete econometric models are designed to analyze microeconomic data within the constraints of microeconomic theoretic...

This talk focuses on the central role played by optimal transport theory in the study of incomplete econometric models. Incomplete econometric models are designed to analyze microeconomic data within the constraints of microeconomic theoretic...

Let \(p\) be a prime number. For each positive integer \(k\geq 2\), it is widely believed that the smallest prime that is a k-th power residue modulo p should be \(O(p^{\epsilon})\), for any \(\epsilon>0\). Elliott proved that such a prime is at most...

Abstract: In order to prove the existence of a ground state (a positive, radially symmetric solution in the energy space), we develop the shooting method and deal with a one-parameter family of classical solutions to an initial-value problem for the...