Past Events

Abstract: The generalized Lotka-Volterra (gLV) equations describe the population dynamics of a set of interacting species, and are a classic model in theoretical ecology. As the number of species in these systems grow in number, their dynamics become...

The tumor invasion paradox relates to the artifact that a cancer that is exposed to increased cell death (for example through radiation), might spread and grow faster than before. The presence of cancer stem cells can convincingly explain this effect...

One of the challenges of the accurate simulation of turbulent flows is that initial data is often incomplete. Data assimilation circumvents this issue by continually incorporating the observed data into the model. A new approach to data assimilation...

Abstract: This presentation is dedicated to describing the complete integrability of the Benjamin–Ono (BO) equation on the line when restricted to every N-soliton manifold, denoted by UN . We construct (generalized) action–angle coordinates which...

Abstract:
The Constraint Satisfaction Problem (CSP) provides a general framework for a wide range of combinatorial problems. The simplest way to state the problem is: Given relational structures (say, graphs) G and H, decide if there is a...

Molecular interactions lie at the core of biochemistry and biology, and their understanding is crucial to the advancement of biotechnology, therapeutics, and diagnostics. Most existing tools make “ensemble” measurements and report a single result...

Abstract: Random high-density packings of 2x2 tiles on the square lattice Abstract: Consider random configurations of disjoint 2x2 tiles positioned in integer coordinates in a bounded domain in R², where the probability for the appearance of a...

Abstract: In this talk I will outline the geometric ingredients of smooth compactifications of the heterotic string. This includes an SU(3) structure manifold (for example, a Calabi-Yau threefold) and a holomorphic, Mumford poly-stable vector bundle...

Abstract: How to apply the mathematical theory of probability to real world problems? Interpretations of "what is probability" have led to the Bayesian and frequentist schools. In very elementary terms, I try to show how Gibbs' theory stitches...

A two-stage enrichment design is a type of adaptive design, which extends a stratified design with a futility analysis on the marker negative cohort at the first stage, and the second stage can be either a targeted design with only the marker...