Representing arbitrary surfaces with a finite number of polynomial patches requires the introduction of polar points for high-valence neighborhoods in quadrilateral meshes. Such holes can be filled by...
Abstract: Stochastic individual base models, that is, measure valued Markov processes describing the evolution of interacting biological populations, have proven over the last years to be effective mo...
We discuss homogenization for diffusion processes in stationary random environment and several characterizations of the homogenized diffusion coefficient....
This course focuses on various mathematical aspects of lattice dimer models. These are very classical two-dimensional statistical mechanics models, that are exactly solvable in some sense (Kasteleyn, ...
We consider high order numerical schemes for second order Hamilton-Jacobi-Bellman (HJB) equations. For high order approximation schemes (where "high" stands for greater than one), the inevitable loss ...
Four phenomena contribute to wind-induced sand movement and eventually to the formation and evolution of dunes: erosion from the sand bed, transport by the wind, sedimentation due to gravity, and sand...
We present general tools to prove the central limit theorem for addive functionals of Markov processes and discuss in some detail the application to diffusions in periodic or random enevironment....
