This talk is focused on recent developments within the field of topoly optimization, e.g. optimal material distribution. The main focus concerns the current state-of-the-art, which is that large structural systems has until now been dealing mainly with the design of individual parts - and not with complete assemblies or structures. In this talk ...
Creator:
Aage, Niels (Technical University of Denmark)
Created:
2016-06-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Wave propagation in optical lattices with honeycomb background, termed Photonic Graphene, is investigated. A tight binding approximation leads to a coupled mode system. In bulk media a nonlinear Dirac type system is obtained which describes conical, elliptical and straight-line diffraction. With rapidly varying helical waveguides linear and nonl...
Creator:
Ablowitz, Mark J. (University of Colorado)
Created:
2016-10-31
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
There is a long story of the role nonlinearity plays in optics and photonics. From the early experiments in second harmonic generation to the demonstration of optical solitons in fiber optics, the field continues to evolve in several directions. Rather than presenting well developed ideas, in this seminar I will attempt to provide examples mostl...
Mean field type models describing the limiting behavior of stochastic differential game problems as the number of players tends to infinity, have been recently introduced by J-M. Lasry and P-L. Lions. They may lead to systems of evolutive partial differential equations coupling a forward Bellman equation and a backward Fokker-Planck equation. Th...
Creator:
Achdou, Yves (Université de Paris VII (Denis Diderot))
Created:
2012-11-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
At the heart of every local search procedure is a directed graph on candidate solutions (states) such that every unsatisfying state has at least one outgoing arc. In randomized local search the hope is that a random walk on the graph reaches a satisfying state (sink) quickly. We give a general algorithmic local lemma by establishing a sufficient...
Creator:
Achlioptas, Dimitris (University of California, Santa Cruz)
Created:
2015-05-22
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Moderator: Ming Hu, University of Toronto Yoni Acriche (eBay), Jakub Marecek (IBM), Ramesh Johari (Stanford University), Karan Girotra (INSEAD), David Shmoys (Cornell University)
Creator:
Acriche, Yoni (eBay); Girotra, Karan (INSEAD); Hu, Ming (Moderator, University of Toronto); Johari, Ramesh (Stanford University); Marecek, Jakub (IBM Research Division); Shmoys, David B. (Cornell University)
Created:
2017-07-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will discuss results by R. Latala concerning tail behaviour of multivariate polynomials in independent Gaussian variables and show how when combined withclassical functional inequalities they give estimates for polynomials and more generally smooth functions with bounded derivatives of higher order for a more general class of non-necessarily p...
Creator:
Adamczak, Radoslaw (University of Warsaw)
Created:
2012-06-26
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The Gromov-Hausdorff distance between two metric spaces is an important tool in geometry, but it is difficult to compute. For example, the Gromov-Hausdorff distance between unit spheres of different dimensions is unknown in nearly all cases. I will introduce recent work by Lim, Mémoli, and Smith that finds the exact Gromov-Hausdorff distances be...
Creator:
Adams, Henry (Colorado State University)
Created:
2022-08-04
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.