WEDNESDAY, MARCH 15, 2006

ANALYSIS SEMINAR

TIME: 3:35 p.m. – 4:25 p.m.
ROOM: Ayres Hall 309A
SPEAKER: Mr. John LaGrange
TITLE: Orthogonal Polynomials on the Unit Circle & Schur Functions: Verblunsky’s and Geronimus’ Theorems, 2.


FRIDAY, MARCH 17, 2006

COLLOQUIUM

TIME: 3:35 – 4:30 p.m.
ROOM: Ayres Hall 214
SPEAKER: Professor Carl Mueller, University of Rochester
TITLE: The speed of a random traveling wave
ABSTRACT: We describe work in progress with Leonid Mytnik and Jeremy Quastel. The KPP equation is a standard model for the study of traveling waves. A large class of initial conditions yield solutions which converge to a limiting shape, which moves with constantly velocity. Adding noise to the equation may give a stationary ensemble of shapes, with an average speed which is different than the speed of the deterministic wave. Burnet and Derrida have conjectured some surprising results about the speed of the wave in the random case, when the noise is small. Conlon and Doering have given an inequality which verifies half of the conjecture. We describe an approach which proves the other half of the conjecture, and may improve the result of Conlon and Doering.