Gaussian processes

Monday, January 14, 2013 - 2:00pm - 2:50pm
Michael Cranston (University of California)
We consider large scale behavior of the solution set of values u(t,x) for x in the d-dimensional integer lattice of the parabolic Anderson equation. We establish that the properly normalized sums of the u(t,x), over spatially growing boxes have an asymptotically normal distribution if the box grows sufficiently quickly with t and provided intermittency holds. The asymptotic distribution of properly normalized sums over spatially growing disjoint boxes is asymptotically independent.
Friday, October 27, 2006 - 9:30am - 10:20am
Mathias Schulze (Oklahoma State University)
The Gauss-Manin system of a function is a direct image in the category of D-modules. For the case of isolated singularities there are two Singular libraries to compute it: gmssing.lib for (local) isolated hypersurface singularities, gmspoly.lib for (global) tame polynomial functions.


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