The vortex sheet is a mathematical model for a shear layerin which the layer is approximated by a surface. Vortexsheet evolution has been shown to approximate the motionof shear layers well, both in the case of free layers andof separated flows at sharp edges.Generally, the evolving sheets develop singularitiesin finite time. To approximate the ...
Creator:
Nitsche, Monika (University of New Mexico)
Created:
2010-02-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
A n-sided polygon in 3-space can be described as a point in 3n-space by listing in order the coordinates of it vertices. In this way, the space of embedded n-sided polygons is a manifold in which points correspond to piecewise linear knots and paths correspond to isotopies which preserve the geometric structure of these knots. In this talk, we w...
Creator:
Hake, Kate (Carleton College)
Created:
2019-06-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We show that the value function in a stochastic differential game does not change if we keep the same space $(\Omega,\cF)$ but introduce probability measures by means of Girsanov's transformation {\em depending\/} on the policies of the players. We also show that the value function does not change if we allow the driving Wiener processes to depe...
Creator:
Krylov, Nicolai (University of Minnesota, Twin Cities)
Created:
2018-05-10
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The set of tools for thinking hard about sampling and measurement-level aspects of scientific studies is among the earliest areas of statistics tobe worked out. However, it arguably is not among the sexier topic areas. In network analysis, perhaps partly as a result of this fact, it is not infrequent that we find ourselves inclined to quickly mo...
Creator:
Kolaczyk, Eric (Boston University)
Created:
2012-02-28
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In this talk I will recall and discuss the conjecture of John Milnor on the homology of Lie groups made discrete, as well as its algebraic analogue, the Friedlander conjecture. In a work still partially in progress, we give a proof of that conjecture for algebraic groups G over algebraically closed fields. I will sketch some ideas behind this pr...
In this talk, we present some recent results on the regularity and the asymptotic behavior of some geometric variational problems. First analysis is about a free boundary value problem in random media that is motivated by the one-phase Bernoulli problem. Second analysis is about the classical problem of Plateau with a highly oscillatory boundary...
Creator:
Orcan-Ekmekci, Betul (Rice University)
Created:
2015-05-29
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
There has been recent interest in the use of PDEs to gain understanding of various complex systems in the social sciences. In this talk I will introduce a system modeling social segregation. We analyze this system to understand the effect of social preference, economic disparity, and the environment on segregation. We discuss the existence of st...
Creator:
Rodriguez, Nancy (University of North Carolina, Chapel Hill)
Created:
2015-05-28
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We know, thanks to the Weil conjectures, that counting points of varieties over finite fields yields purely topological information about them. In this talk I will first describe how we may count the number of points over finite fields on the character varieties parameterizing certain representations of the fundamental group of a Riemann surface...
Creator:
Rodriguez Villegas, Fernando (The University of Texas at Austin)
Created:
2011-01-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
In recent years algebraic geometry, number theory, and commutative algebra have shown their potential to solve challenging problems in discrete optimization. This talk hopes to show algebraic tools can be used to prove strong computational complexity results in optimization problems with non-linear or multi-objective objective functions and line...
Creator:
De Loera, Jesus A. (University of California, Davis)
Created:
2008-11-20
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
