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Large tournament gamesWe consider a stochastic tournament game in which each player works toward accomplishing her goal and is rewarded based on her rank in terms of the time to completion. We prove existence, uniqueness and stability of the game

Nonlinear stage of modulational instability, solitons and coherent structuresModulational instability (or MI, a.k.a. the Benjamin-Feir instability in deep water waves), is the instability of a constant background to long-wavelength perturbations,

The Hunt for the Swamp Monster There is a criminal on the loose in Tensorland. As innocent tensor approximation programs go about their work, sometimes they get ``swamped''. A swamped program has to work for many iterations without making

A network approach to cloud organizationClouds are an important component of the climate system that tend to cool the planet by reflecting incoming solar radiation back to space. The representation of shallow clouds and their radiative impact is one

An introduction to absorbing layers and non-reflecting boundary conditions.I will give an overview of different techniques to truncate unbounded domains by absorbing layers and non-reflecting or artificial boundary conditions. Among other topics I

First part of our series on the reproducibility crisis:Peter Shaffery will present Simmons, Nelson, and Simonsohn's seminal 2011 article "False Positive Psychology" (http://journals.sagepub.com/doi/abs/10.1177/0956797611417632)Here's a quick

What Partial Differential Equations Can Teach Us ÃÛÌÇÖ±²¥ Social Behavior and Movement of Populations Models based on partial differential equations have been used extensively to describe fundamental and ubiquitous phenomena in several areas of ecology

Dynamic Active SubspacesComputational and mathematical models of physical systems are essential tools in modern engineering design, epidemiological analysis, and scientific exploration. Sensitivity analysis of such systems becomes

Some Recent Results on Linear Programming Based Approximate Dynamic Programming The linear programming based approximate dynamic programming has received considerable attention in the recent literature. In this approach, high dimensional dynamic

Spatio-temporal Dynamics of Synthetic Microbial ConsortiaModeling is essential in the design of genetic circuits with desired properties. I will review several examples where mathematical models have been central to the  development and