Invariant manifolds and foliations have become very useful tools in dynamical systems. For infinite dimensional systems generated by evolutionary PDEs, the mere existence of these structures is non-trivial compared to those of ODEs due to issues such as the non-existence of backward (in time) solutions of some PDEs or nonlinear terms causing der...
Creator:
Zeng, Chongchun (Georgia Institute of Technology)
Created:
2012-09-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We will discuss classical and new results on the existence or non-existence of inertial manifolds (IMs) for semilinear parabolic equation. In particular, we report on the existence of IMs for the 1D reaction-diffusion-advection systems with Dirichlet or Neumann boundary conditions and give the counterexamples for the case of periodic boundary co...
Creator:
Zelik, Sergey (University of Surrey)
Created:
2016-06-23
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will describe recent results (obtained jointly with A. Guionnet P. Wood) concerning perturbations of non-normal random matrices and their stabilization by additive noise. This builds on techniques introduced earlier inthe context of the 'single ring theorem', by Guionnet, Krishnapur, and the speaker.
Creator:
Zeitouni, Ofer (University of Minnesota, Twin Cities)
Created:
2011-09-27
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This series will highlight the main steps in the approach to universality based on dynamics and comparisons of Green functions. The emphasis will be on the basic steps, not on sharpest results.
Creator:
Zeitouni, Ofer (University of Minnesota, Twin Cities)
Created:
2012-06-25
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
The long, rich history of topology in mathematics has provenextremely useful for the study of DNA. DNA, the geneticblueprint for life, undergoes tremendous flux as it ispackaged, replicated, segregated, transcribed, recombined andrepaired. Extremely long and skinny, DNA is prone toentanglement. Every time it is copied, the two resulting'daughter...
Creator:
Zechiedrich, Lynn (Baylor College of Medicine)
Created:
2010-04-09
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
This talk will be about the non-backtracking matrix of a graph. I will review recent works on its spectral properties for random graphs and concentrate on its algorithmic applications. Notably I will talk about optimality of the corresponding spectral algorithm for clustering of sparse networks and for analysis of percolation on sparse networks....
Creator:
Zdeborova, Lenka (Centre National de la Recherche Scientifique (CNRS))
Created:
2015-05-19
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Energy networks are becoming increasingly decentralized and exhibit new forms of coupling. For instance, during the polar vortex of 2014, sustained low temperatures in the Midwest region of the U.S. resulted in unusually high gas demands from buildings in urban areas. This led to shortages of natural gas that propagated to California, Massachuse...
Creator:
Zavala, Victor M. (University of Wisconsin, Madison)
Created:
2016-05-11
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We review applications and algorithmic challenges of Gaussian Process (GP) modeling. GP is a powerful and flexible uncertainty quantification and data analysis technique that enables the construction of complex models without the need to specify algebraic relationships between variables. This is done by working directly in the space of the kerne...
Creator:
Zavala, Victor M. (Argonne National Laboratory)
Created:
2013-06-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
