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Nowhere dense graph classes, stability, and the independence property
Nowhere dense graph classes the independence property
2010/11/23
A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of cliques that occur as (topological) r-minors. We observe that this tameness notion from algorith...
On the Relative Weak Asymptotic Homomorphism Property for Pairs of Groups von Neumann Algebras
the Relative Weak Asymptotic Homomorphism Property Pairs Groups von Neumann Algebras
2010/11/9
We provide a direct and elementary proof of the equivalence between the weak asymptotic homomorphism property for the pair of group von Neumann algebras $L(H)\subset L(G)$ and the embedding into $H$ ...
Coupling Property and Gradient Estimates of Lévy Processes via the Symbol
Coupling Property Gradient Estimates Lévy Processes via the Symbol
2010/11/11
We derive explicitly the coupling property for the transition semigroup of a L\'evy process and gradient estimates for the associated semigroup of transition operators. This is based on the asymptoti...
Solutions to congruences using sets with the property of Baire
Solutions sets property of Baire
2010/10/29
Hausdorff's paradoxical decomposition of a sphere with countably many points removed (the main precursor of the Banach-Tarski paradox) actually produced a partition of this set into three pieces A,B,...
