Stochastic analysis and nonclassical random processes
Summary: The workshop focused on recent developments in the theory of stochastic processes and flows, with special emphasis on emerging new classes of processes, as well as new objects whose limits are expected to coincide with such processes. A prominent role was played by the SLE family of processes, motion in random media, non-classical noises and flows, and random planar maps. Contributions: --Boris Tsirelson, Automorphisms of noises and Arveson systems p.1237 --Jon Warren (joint with Chris Howitt), Perturbing the Arratia flow p.1238 --David J. Aldous, Percolating paths through random points p.1240 --Philippe Bougerol (joint with Philippe Biane, Neil O'Connell), Brownian motion and (asymptotic) representation theory p.1242 --Yves Le Jan (joint with Jacques Franchi), Relativistic Dikusions and Schwarzschild Geometry p.1243 --Omer Angel, Scaling of Percolation on Planar Maps p.1245 --Philippe Chassaing (joint with Berglnnur Durhuus), Local limit of labelled trees and expected volume growth in a random quadrangulation p.1247 --Jean-François Marckert (joint with Abdelkader Mokkadem), Limit of Normalized Quadrangulations: the Brownian map p.1249 --Grégory Miermont (joint with Jean-François Marckert), Invariance principles for random labeled mobiles and planar maps p.1251 --Jean-François Le Gall, Conditioned Brownian trees p.1253 --Jonathan C. Mattingly, SPDEs with Highly degenerate forcing: densities and ergodicity p.1255 --Houman Owhadi Metric Based Up-scaling p.1257 --Gregory F. Lawler, The Laplacian random walk and SLE p.1261 --Gady Kozma, The scaling limit of loop-erased random walk in two and three dimensions p.1263 --Julien Dubédat, Multiple SLEs p.1264 --Robert O. Bauer (joint with Roland Friedrich), On SLE in multiply connected domains p.1266 --Pierre Mathieu (joint with Andrey Piatnitski), Quenched invariance principles for random walks on percolation clusters p.1268 --Martin T. Barlow, Random walks on critical percolation clusters p.1270 --Peter Mörters (joint with Remco van der Hofstad, Wolfgang König), The universality classes in the parabolic Anderson model p.1273 --Fabienne Castell (joint with Amine Asselah), Large deviations for Brownian motion in a random scenery p.1277 --Alain-Sol Sznitman (joint with Ofer Zeitouni), Invariance Principle and Isotropic Dikusions in Random Environment p.1278 --Yueyun Hu (joint with Philippe Carmona), Directed Polymers In Random Environments p.1279 --Franz Merkl (joint with Silke Rolles), A random environment for edge-reinforced random walk on \(\mathbb Z^2\) p.1281 --Vlada Limic, Triangle problem revisited p.1282 --Tadahisa Funaki, A random motion of Winterbottom-like shape p.1283 --Achim Klenke (joint with Peter Mörters), The multifractal spectrum of Brownian intersection local times p.1285 --Matthias Winkel (joint with Thomas Duquesne), Growth of Lévy forests p.1287 --Wolfgang König (joint with P. Eichelsbacher), Ordered Random Walks p.1290 --Terry Lyons, Pure rough paths and properties of the signature p.1292
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