Nonlocal Operators: Analysis, Probability, Geometry and Applications
July 9th – 14th, 2012
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In recent years the interest in integro-differential operators and corresponding Markov jump processes has increased significantly. Even for the most simple case, the fractional Laplacian resp. the rotational invariant alpha-stable process, new fundamental results have been proved recently. Areas of research include probability (random walks, Lévy processes), stochastic analysis (jump processes, stochastic differential equations), analysis (potential analysis, linear and fully nonlinear differential operators, variational calculus) and geometry. Moreover, corresponding models are considered in various fields of natural sciences. The aim of this conference is to bring together specialists from different fields with complementary views and to stimulate interaction.