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Condensate, fluctuations and symmetries — a tale of 2D turbulenceEarth's jet streams, Jupiters Great Red Spot and its zonal winds are all examples of persistent large scale flows,  whose dynamics is to a good approximation two-dimensional

Sparse Grid Discontinuous Galerkin Methods for High-Dimensional Transport EquationsIn this talk, we present sparse grid discontinuous Galerkin (DG) schemes for solving high-dimensional PDEs. We will discuss the construction of the scheme based on

Collective Ecophysiology and Physics of Social InsectsCollective behavior of organisms creates environmental micro-niches that buffer them from environmental fluctuations e.g. temperature, humidity, mechanical perturbations etc., thus coupling

Nonzero-sum stochastic differential games with impulse controls We consider a general class of nonzero-sum impulsive games with N players. By means of a suitable system of quasi-variational  inequalities, we provide a verification theorem for

Prediction of random and chaotic dynamics in nonlinear opticsThe control and prediction of interactions between high-power, nonlinear laser beams is a longstanding open problem in optics and mathematics. One of the traditional underlying assumptions

3D radar wavefield imaging of comet interiorsThe Rosetta mission to comet 67P/C-G revolutionized comet science, but left major questions on the table. Are cometary nuclei primordial or are they collisionally-evolved as predicted by modern theories

Spacecraft Mission DesignMission design combines dynamics, control theory, and computation.Newton’s laws and computational tools are used to design spacecraft orbits to explore our solar system. Onboard controls are used to change the velocity and

Carl Mueller, Department of Computer Science, University of ÃÛÌÇÖ±²¥ BoulderCHOMP: Gradient Optimization Techniques for Efficient Motion PlanningExisting high-dimensional motion planning algorithms are simultaneously overpowered and

Using Oriented Matroids To Understand Metabolic NetworksGenome scale models of cellular metabolism involve thousands of reactions, even for relatively simple model organisms such as E. coli.  Given a stoichiometric matrix, S, one

How to Gamble or Invest If You Must: A Large Deviations Approach  The Kelly Criterion (a.k.a. expected log utility maximization) is a well-known criterion function used to select optimal repeated gambles or long-term portfolio investments