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Review of AdS/CFT Integrability, Chapter III.1
Bethe Ansätze and the R-Matrix Formalism
The one-dimensional Heisenberg XXX spin chain appears in a special limit of the AdS/CFT integrable system. We review various ways of proving its integrability, and discuss the associated methods of solution. In particular, ...
Delay differential equations driven by Lévy processes: stationarity and Feller properties
We consider a stochastic delay differential equation driven by a general Lévy process. Both, the drift and the noise term may depend on the past, but only the drift term is assumed to be linear. We show that the segment ...
Error Reduction And Convergence For An Adaptive Mixed Finite Element Method
An adaptive mixed finite element method (AMFEM) is designed to guarantee an error reduction, also known as saturation property: After each refinement step, the error for the fine mesh is strictly smaller than the error for ...
Differentiable Selections of Set-Valued Mappings
With Application in Stochastic Programming
We consider set-valued mappings defined on a linear normed space with convex closed images in IRn. Our aim is to construct selections which are (Hadamard) directionally differentiable using some approximation of the ...