Event Description: Daniel Poll, Department of Mathematics, University of Houston Persistent search in single and multiple confined domains: a velocity-jump process model We analyze velocity-jump process models of persistent search for a single target on a bounded domain. The searcher proceeds along ballistic trajectories and is absorbed upon collision with...
Event Description: Nathan Guillery, Department of Applied Mathematics, University of Colorado Boulder Diffusion and Drift in Volume-Preserving Maps Nearly integrable volume-preserving maps and incompressible flows have many invariant tori on which the dynamics is quasiperiodic in the angle variables. There are also chaotic orbits in regions between tori. Although invariant...
Event Description: John Nardini, Department of Applied Mathematics, University of Colorado Boulder Investigation of a Structured Version of Fisher's Equation Recent biological research has sought to understand how biochemical signaling pathways, such as the mitogen-activated protein kinase (MAPK) signaling pathway, influence the migration of a population of cells during wound...
Event Description: Or Alus, Technion - Israel Institute of Technology, Haifa, Israel Diffusion,sticking, “universal exponents” and statistical description of mixed Hamiltonian systems For most realistic Hamiltonian systems the phase space consist of both chaotic and regular orbits, mixed in a complex pattern in which islands of regular motion are surrounded...
Event Description: Vanessa Robins, Department of Physics, Australian National University Persistent homology analysis of x-ray micro-CT images of porous and granular materials Physical properties of porous and granular materials critically depend on the topological and geometric details of the material micro-structure. For example, the way water flows through sandstone depends...
Event Description: Zach Kilpatrick, Department of Applied Mathematics, University of Colorado Boulder Dynamics of multilayered neural networks Neuronal activity underlying working memory can be modeled by networks with local excitation and broad inhibition, which support persistent bumps of activity. We consider a specific task where a subject must remember a...
Event Description: Joel Zylberberg, Department of Physiology and Biophysics, University of Colorado at Denver Maintenance and dynamics of working memory networks Working memory is a key cognitive function that requires information about a task, or about the external world, to persist within the brain for many tens of seconds. This...
Event Description: Bruno Deremble, Department of Oceanography, Florida State University Vorticity generation in the ocean via the interaction of an eddy and a topographic Kelvin wave. The interaction of oceanic eddies with topography is still a poorly understood process. In this talk, I will illustrate the complexity of this process...
