Seminars Sorted by Series

The systems of elasticity in 2D are wave-type equations with two different propagation speeds at a linear level. Due to the incompressibility, the system is nonlocal and is not Lorentz invariant, but it is inherently linear degenerate. We talk about...

When a 2D many-particle system with a repulsive interaction is subject to a sufficiently strong magnetic field, that can also be produced by rapid rotation, strongly correlated many-body states in the lowest Landau level LLL may emerge. In the talk...

We introduce a new family of robust semiparametric methods for analyzing large, complex, and noisy datasets. Our method is based on the transelliptical distribution family which assumes that the variables follow an elliptical distribution after a...

I will review some aspects of many-body Anderson localization. Many-body localized systems have a type of integrable Hamiltonian, with an extensive set of operators that are localized in real-space that each commute with the Hamiltonian. The...

I will talk about two types of random processes -- the classical Sherrington-Kirkpatrick (SK) model of spin glasses and its diluted version. One of the main goals in these models is to find a formula for the maximum of the process, or the free...

I will talk about two types of random processes -- the classical Sherrington-Kirkpatrick (SK) model of spin glasses and its diluted version. One of the main goals in these models is to find a formula for the maximum of the process, or the free...

We provide a derivation of the brownian motion as the hydrodynamic limit of a diluted deterministic system of hard-spheres (in the Boltzmann-Grad limit). We use the linear Boltzmann equation as an intermediate level of description for one tagged...

I will discuss a proof of many-body localization for a one-dimensional spin chain with random local interactions. The proof depends on a physically reasonable assumption that limits the amount of level attraction in the system. This is joint work...

About twenty years ago, Choptuik studied numerically the gravitational collapse (Einstein field equations) of a massless scalar field in spherical symmetry, and found strong evidence for a universal, self-similar solution at the threshold of black...

In this talk we will explain several results surrounding global stability problem for the Boltzmann equation 1872 with the physically important collision kernels derived by Maxwell 1867 for the full range of inverse power intermolecular potentials,...

Hirota relations in their various incarnations play an important role in both classical and quantum integrable systems, from matrix integrals and PDE's to one-dimensional quantum spin chains and two dimensional quantum field theories (QFT). The...

Edge reinforced random walk (ERRW) and vertex reinforced jump processes are history dependent stochastic process, where the particle tends to come back more often on sites it has already visited in the past. For a particular scheme of reinforcement...

We consider the totally asymmetric simple exclusion process with initial conditions and/or jump rates such that shocks are generated. If the initial condition is deterministic, then the shock at time t will have a width of order \(t^{1/3}\). We...

We discuss some properties of a version of the one-dimensional totally asymmetric zero-range process in which a particle hops to the nearest neighbor site with rate proportional to \(1-q^n\), with \(n\) being the number of particles at the site. The...

I will explain how Pitman's theorem on Brownian motion and the three dimensional Bessel process can be extended to several dimensions, and the connection with random matrices, and combinatorial representation theory, notably the Littelmann path...

We consider two classes of \(n \times n\) sample covariance matrices arising in quantum informatics. The first class consists of matrices whose data matrix has \(m\) independent columns each of which is the tensor product of \(k\) independent \(d\)...

Free entropy is a quantity introduced 20 years ago by D. Voiculescu in order to investigate noncommutative probability spaces (e.g. von Neumann algebras). It is based on approximation by finite size matrices. I will describe the definition and main...

We consider a typical situation in which probability model itself has non-negligible cumulated uncertainty. A new concept of nonlinear expectation and the corresponding non-linear distributions has been systematically investigated: cumulated...

We present the key ideas of a new proof of Landau damping for the Vlasov-Poisson equation obtained in a joint work with Bedrossian and Masmoudi. This nonlinear transport equation is a fundamental model for describing self-interacting plasmas or...

Many of the major results of modern ergodic theory can be understood in terms of a sequence of finite metric measure spaces constructed from the marginal distributions of a shift-invariant process. Most simply, the growth rate of their covering...

The NSF will conduct an information session over the web on NSF grant funding for postdoctoral researchers.

In this work, joint with A. Mohammadi, we try to classify all the discrete transitive actions on the vertices of a Bruhat-Tits Building over a local field of characteristic zero. There are lots of such actions in the case of Bruhat-Tits tree, i.e...