Title: Energy Landscape Theory: From Folding Proteins to Folding Chromosomes Abstract: The statistical mechanics of energy landscapes has resolved the paradoxes of how information-bearing matter can assemble itself spontaneously. I will explain how our current understanding of protein folding landscapes not … Read more
Title: A Probability Polling State — the Maximum Entropy Principle in Neuronal Data Analysis Abstract: How to extract information from exponentially growing recorded neuronal data is a great scientific challenge. It is urgent to develop methods to simplify the analysis … Read more
Title: Dynamics of the energy critical wave equations Abstract: These lectures concern the energy-critical focusing nonlinear wave equation. It is conjectured that any solution of this equation that is bounded in the energy space is asymptotically the sum of a … Read more
Title: Dynamics of the energy critical wave equations Abstract: These lectures concern the energy-critical focusing nonlinear wave equation. It is conjectured that any solution of this equation that is bounded in the energy space is asymptotically the sum of a … Read more
Title: Dynamics of the energy critical wave equations Abstract: These lectures concern the energy-critical focusing nonlinear wave equation. It is conjectured that any solution of this equation that is bounded in the energy space is asymptotically the sum of a … Read more
Tea at 3:30 pm in PH 330 Title: The sphere packing problem in dimensions 8 and 24 Abstract: What is the densest packing of congruent spheres in Euclidean space? This problem arises naturally in geometry, number theory, and information theory, … Read more
Tea will be at 3:30 in 330 Phillips Hall Title: Integral equation modeling for nonlocal diffusion and mechanics Abstract: We consider the use of integral equations as nonlocal models for diffusion. An important example are fractional Laplacian equations although our theory and … Read more
Title: Modelling the emergence of clones in populations (by drawing analogies with the physics of glasses) and the adaptive immune system of bacteria (called CRISPR) Abstract: I will describe about two examples where drawing analogies with physics has been pivotal … Read more
Title: Deadly parasites, whirligig toys and droplet computers: do the math! Abstract: I will present three problems on biophysics, low-cost diagnostic devices, and microfluidics from my research at the Prakash Lab at Stanford. First, I will talk about a mathematical … Read more
