Past Events

We present and investigate models for solid tumor growth that incorporate features of the tumor microenvironment including tumor-induced angiogenesis. Using analysis and nonlinear numerical simulations, we explore the effects of the interaction...

Time & Date: 12:00 p.m., Friday, January 23, 2009 Subject: ``Almost commuting elements in Lie Groups'' Location: WMAX 216 Abstract: In this non technical talk I will show how one can use the space of almost commuting elements in a compact Lie group G...

This talk is dedicated to the memory of Bernard Perron, who recently passed away. We collaborated on work involving automorphisms of a free group: he showed me how to understand the induced automorphisms on the lower central series quotients, using...

Statistical mechanics is the branch of physics that seeks to explain the properties of matter that emerge from microscopic scale interactions. Probabilistic models such as percolation help describe various physical phenomena. The models are generally...

We discuss various transcendence results regrading generating functions of sequences which satisfy two very different types of functional equations. We apply these results to improve some results of W. Schwarz.

We explore the location of the zeros and poles of the Pade approximations to the Riemann Zeta function. The patterns are striking and the computations difficult. Little is proved but much is suggested. This, of course, is intimate to the Riemann...

For Markov random fields temporal mixing, the time it takes for the Glauber dynamics to approach it's stationary distribution, is closely related to the spatial mixing properties of the measure such as uniqueness and the reconstruction problem. Such...

Microorganisms such as bacteria and spermatozoa move in a world where viscous forces completely dominate inertial forces, and the time evolution of their motion may be thought of as a sequence of steady-state snapshots. In this world, what motility...