Inhaltsverzeichnis - Mathematisches Institut der Universität zu Köln

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$Prof. Dr. W. Wefelmeyer WS 2004/05 Dipl.-Math. K. Tang Übungen ...$

DMV Tagung 2011 - Köln, 19. - 22. September Mittwoch, 21. September Seminargebäude, S24 14:00 Eugene Lytvynov (Swansea) Determinantal point processes with J-Hermitian correlation kernels 15:00 Tobias Kuna (Reading) Truncated moment problem and Realizability of point processes 16:00h – 16:30h Pause 16:30 Dennis Hagedorn (Bielefeld) Gibbs distributions related to a Gamma measures over the cone of positive discrete Radon measures 17:00 Christoph Berns (Bielefeld) Kawasaki Dynamics of continuous Interacting Particle Systems 17:30 Anatoly Vershik (t.b.a.) t.b.a. 208
DMV Tagung 2011 - Köln, 19. - 22. September Benedict Baur University of Kaiserslautern Strong Feller Property up to the Boundary for Elliptic Diffusions For a gradient Dirichlet form with Hölder continuous matrix and density and a piecewise C 1 -domain we prove L p -strong Feller property of the associated resolvent and semigroup. Under additional smoothness assumptions on the coefficients and the boundary we construct a diffusion process with generalized reflection at the boundary starting in all points where the density is not zero and which are either interior points or have local C 2 -smooth boundary. Finally we apply these concepts to the construction of stochastic dynamics for interacting particle systems. Literatur S. V. Shaposhnikov, On Morrey’s Estimate of Solutions of Elliptic Equations. V. I. Bogachev, N. V. Krylov, M. Röckner. On Regularity of Transition Probabilities and Invariant Measures of Singular Diffusions under minimal conditions. Communications in Partial Differential Equations, 26(11- 12):2037-2080, 2001. S. Albeverio, Yu. G. Kondratiev and M. Röckner. Strong Feller properties for distorted Brownian motion and applications to finite particle systems with singular interactions. In Infinite Dimensional Analysis in Honor of Leonard Gross, volume 317 of Contemporary Mathematics. Amer. Math. Soc., Providence, RI, 2003. T. Fattler and M. Grothaus. Strong Feller property for distorted Brownian motion with reflecting bounday condition. Journal of Functional Analysis, 246(2): 217-241. 2007 Christoph Berns Universität Bielefeld Kawasaki Dynamics of Continuous Interacting Particle Systems In this talk we discuss a stochastic (conservative) jump dynamics of interacting particles in continuum. This dynamics is an analog of the Kawasaki dynamics of lattice spin systems. The Kawasaki dynamics is now process where interacting particles randomly hop over R d . We give a microscopic and a mesoscopic description of such dynamics. 209
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Frank Kutzschebauch Universität Be
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Ulrich Derenthal Ludwig-Maximilians
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Anna Dall’Acqua Otto-von-Guericke
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André Fischer Center of Smart Inte
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Felix Schulze Freie Universität Be
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Eleutherius Symeonidis Katholische
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Felix Schlenk Universität Neuchât
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Edgar Brunner Universität Götting
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Jonathan Spreer Universität Stuttg
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Christian Gerhards TU Kaiserslauter
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Inhaltsverzeichnis - Mathematisches Institut der Universität zu Köln

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