The Szemeredi regularity lemma is crucial in graph limit theory.It isa basic tool to study large dense graphs: e.g. how to consider similarity,approximation by small graphs, how local and global properties are related to each other. It provides important new bridge between graph theoryand other fields like analysis, probability, topology.Focusin...
Creator:
Sos, Vera T. (Hungarian Academy of Sciences (MTA))
Created:
2012-11-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Szemerédi's regularity lemma is one of the most powerful toolsin graph theory, with many applications in combinatorics, number theory,discrete geometry, and theoretical computer science. Roughly speaking, itsays that every large graph can be partitioned into a small number of partssuch that the bipartite subgraph between almost all pairs of part...
Creator:
Fox, Jacob (Massachusetts Institute of Technology)
Created:
2012-11-30
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
History matching' of reservoir models by adapting model parameters such that the model ouput matches historic production data is known to be a very ill-posed problem. I will discuss the limited observability and controllability of reservoir states (pressures, fluid saturations) and limited identifiability of reservoir parameters (permeabilities,...
Creator:
Jansen, Jan Dirk (Delft University of Technology)
Created:
2011-06-07
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
I will review some results concerning vortices in the Ginzburg-Landaumodel, droplets in the two-dimensional Ohta-Kawasaki model, and Coulombgases, which all have in common that they reduce to systems of points withCoulomb interaction. I will discuss the derivation of a 'renormalizedenergy' for the limits of such systems, and the question ofcryst...
Creator:
Serfaty, Sylvia (New York University)
Created:
2014-05-21
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.