
Kyle Pounder
Mon Jan 8, 2018
4:00 pm
The finite Toda lattice was proposed originally as a model for finitely many particles in a onedimensional crystal. Now 50 years since its introduction, it has become a canonical model in integrable systems. In this talk, we will consider the long time limit of the finite Toda lattice. The main results are detailed asymptotic formulas for the...

Martin Stynes
Thu Dec 7, 2017
11:00 am
A reactiondiffusion initialboundary problem with a Caputo time derivative of order $\alpha\in (0,1)$ is considered. The solution of such a problem is discussed; it is shown that in general the solution has a weak singularity near the initial time $t=0$, and sharp pointwise bounds on the derivatives of this solution are derived....

Dongming Wei
Fri Dec 1, 2017
11:00 am
This is a report of some recent progress and challenges we have made and encountered in modelling and numerical simulation of materially nonlinear beam structures with applications in microelectricalmechanical systems. For simplicity, the fully nonlinear DE’s and the associated initial/boundary value problems arising from modelling Hollomon’s...

Yi Ming Zou
Mon Nov 27, 2017
4:00 pm
Polynomial dynamical systems over finite fields or rings provide a useful tool for studying network dynamics, such as those of gene regulatory networks. In this talk, I will discuss linear dynamical systems over finite commutative rings. The limit cycles of a linear dynamical system over a finite field can be described by using the elementary...

Janet Sinsheimer
Mon Nov 13, 2017
4:00 pm
Linear mixed effect models (LMMs) have a long history in genetics, going back at least as far as when R. A . Fisher proposed the polygenic model and have become a main stay in statistical modeling. Because they can be computationally intense, LMMs were dropped in favor of simpler statistical tests in the whole genome era of genetics. ...

Adam Larios
Mon Nov 6, 2017
4:00 pm
A major difficulty in accurately simulating turbulent flows is the problem of determining the initial state of the flow. For example, weather prediction models typically require the present state of the weather as input. However, the state of the weather is only measured at certain points, such as at the locations of weather stations or weather...

Tryphon T. Georgiou
Mon Oct 30, 2017
4:00 pm
We will discuss certain new directions in the nexus of ideas that originate in Optimal Mass Transport (OMT) and the Schroedinger Bridge Problem (SBP). We will begin with a brief historic overview, explain the relation between OMT and SBP, discuss applications in control, physics, and networks, and we will conclude with generalizations to the...