Please note special day (Tuesday) and location. My talk will focus on the behavior of the 2D Hadamard Quantum Random Walk wavefunction near the boundary of the region that it visits.
Ergodic Theory & Statistical Mechanics
This weekly seminar welcomes many visiting speakers and also provides a forum for results by Princeton/IAS faculty and graduate students. While most talks focus on one of the two namesake topics, there tends to be overlap with other fields. Most recently, talks have included material on celestial mechanics, number theory, probability theory, the Schrodinger equation, spectral theory and Teichmueller theory.
University of Illinois at Urbana-Champaign
Let G=SL(2, R) \ltimes R^2 and \Gamma= SL(2, Z) ltimes Z^2. We prove a rate of equidistribution for the orbits of a certain 1-dimensional unipotent flow of \Gamma \quot G, which projects to a closed horocycle in the unit tangent bundle to the modular surface.
University of Bristol
National Academy of Sciences, Ukraine
The restricted isometry property (RIP) is a compressed sensing matrix specification which leads to performance guarantees for a wide variety of sparse signal reconstruction algorithms.
I will discuss recent CLT type results for linear eigenvalue statistics and related objects in various ensembles of Random Matrices. Joint works with Lingyun Li (UC Davis) and Sean O'Rourke (Yale).