Prof. Dr. Wolfgang König

Berlin-Leipzig Seminar on Analysis and Probability Theory

Regular seminar of the DFG Research group Analysis and Stochastics in Complex Physical Systems, Berlin and Leipzig

Next meeting: Friday, 15 January, 2010

University of Bonn, Institute for Applied Mathematics, Endenicher Str. 60, 53115 Bonn

Lipschitz Lecture Hall

9:40 - 10:30: Jason Miller (Stanford University) Fluctuations for the Ginzburg-Landau grad-phi interface model on bounded fomains The object of our study is the massless field with strictly convex nearest neighbor interaction on lattice approximations of a bounded, smooth, planar domain $D$ with boundary conditions given by the restriction of a continuous function $f$. This is a general model for a (2+1)-dimensional effective interface. We prove that the mean of the random height function $h$ converges to the harmonic extension of $f$ from the boundary of $D$ to $D$ and that linear functionals of $h$ converge to the Gaussian free field on $D$, a conformally invariant random distribution. Time permitting, we will explain how the estimates employed in the proof can be used to show that other functionals have conformally invariant limits. 10:40--11:30: Felix Otto (University of Bonn) Optimal error estimates in stochastic homogenization We consider discrete elliptic equations with random coefficients. On large scales, the solution operator behaves like that of a homogeneous, deterministic elliptic equation. The formula for the homogenized coefficients involves the corrector, which is the stationary solution of an auxiliary random elliptic problem. We establish new a priori estimates on the moments of this corrector. These estimates yield optimal bounds on the error made when replacing the formula for the homogenized coefficients by a numerically tractable aproximation. This is joint work with A. Gloria (INRIA Lille). 11:40-12:30: Annibale Magni (University of Dortmund) Perelman's Dilaton We will give a new framework for the gradient-like formulation of the Ricci Flow and we will sketch some possible applications. Printable announcements: 15 January, 2010 (ps), 15 January, 2010 (pdf)

Past meeting: Friday, 27 November, 2009

Technical University Berlin, Institute for Mathematics, Str. des 17. Juni 136, 10623 Berlin

Room 315 (Matheon-Lounge)

9:40 - 10:30: Bernd Metzger (Weierstraß Institute Berlin) The Gross-Pitaevskii functional with a random background potential and condensation in the single particle ground state 10:40--11:30: Errico Presutti (University of Rome II Tor Vergata) Phase transitions in continuum 11:40-12:30: Jean-Dominique Deuschel (Technical University Berlin) Hydrodynamic limit for interface model with non-convex interaction Printable announcements: 27 November, 2009 (ps), 27 November, 2009 (pdf)

Past meeting: Friday, 26 June, 2009

Technical University Berlin, Institute for Mathematics, Str. des 17. Juni 136, 10623 Berlin

Room 313/314

9:40 - 10:30: Hans-Otto Georgii (Ludwig-Maximilians-Universität München) Variational characterisation of Gibbs measures with Delaunay triangle interaction 10:40--11:30: Bernd Schmidt (Technische Universität München) On a semilinear variational problem 11:40-12:30: Laszlo Erdös (Ludwig-Maximilians-Universität München) Bulk universality for Wigner matrices Printable announcements: 26 June, 2009 (ps), 26 June, 2009 (pdf)

Past meeting: Friday, 17 April, 2009

Max Planck Institute, Inselstr. 22, 04103 Leipzig

Room A01

9:40 - 10:30: Abdelhadi Es-Sarhir (Technical University Berlin) A priori estimates of invariant measures for semilinear SPDE's and applications 10:40--11:30: Marek Biskup (University of South Bohemia Ceske Budejovice) Gradient models with non-convex interactions 11:40-12:30: Stefan Adams (Warwick University, MPI Leipzig and LMU Munich) Strict convexity of the surface tension of Gradient models with non-convex interactions Printable announcements: 17 April, 2009 (ps), 17 April, 2009 (pdf)

Past meeting: Friday, 12 December, 2008

Technical University Berlin, Institute for Mathematics, Str. des 17. Juni 136, 10623 Berlin

Room 313/314

9:40 - 10:30: Mark Peletier (University of Technology Eindhoven) Unification of diffusion and reaction: derivation of the law of mass action 10:40--11:30: Utpal Manna (MPI Leipzig) An Application of Stochastic Stackelberg Differential Games in Conflict Management 11:40-12:30: Reinhold Schneider (TU Berlin) Analysis of the projected Coupled Cluster Method in Electronic Structure Calculation Printable announcements: 12 December, 2008 (ps), 12 December, 2008 (pdf)

Last meeting: Friday, 24 October, 2008

Room A01

9:30 - 10:20: Patrick Dondl (MPI Leipzig) Pinning and depinning behavior of martensitic phase boundaries in a heterogeneous environment 10:30--11:20: Nicolas Petrelis (TU Berlin) Copolymer in an emulsion: supercritical and subcritical regime. 11:30-12:20: Rene Schilling (TU Dresden) Approximating Feller processes Printable announcements: 24 October, 2008 (ps), 24 October, 2008 (pdf)

Past meeting: Friday, 20 June, 2008

Room MA313/314

9:40 - 10:30: Enzo Olivieri (Universita Roma Due Tor Vergata) Escape from metastability for conservative dynamics at low temperature 10:40--11:30: Valentin A. Zagrebnov (Universite de la Mediterrane and Centre de Physique Theorique Marseille) Bose-Einstein condensation in external potentials 11:40-12:30: Joe Pule (University College Dublin) Long cycles and Bose-Einstein condensation in the infinite-range-hopping Bose-Hubbard model Printable announcements: 20 June, 2008 (ps), 20 June, 2008 (pdf)

Past meeting: Friday, 18 April, 2008

Room A01

9:30 - 10:20: Martin Hairer (Warwick University) Slow energy dissipation in anharmonic chains 10:30--11:20: Sabine Jansen (University of Leipzig) Thermodynamic limit for jellium on a cylinder 11:30-12:20: Stefan Großkinsky (Warwick University) Equivalence of ensembles and condensation in zero-range processes Printable announcements: 18 Apr, 2008 (ps), 18 Apr, 2008 (pdf)

Past meeting: Friday, 8 February, 2008

Room 313/314

9:40 - 10:30: Michael Röckner (University of Bielefeld and Purdue University) Self-organized criticality via SPDE 10:40--11:30: Michael Scheutzow (Technical University Berlin) Global properties of stochastic flows on Euclidean spaces 11:40-12:30: Elisabetta Scoppola (University of Rome Tre) Some spin glass ideas applied to the clique problem Printable announcements: 8 Feb, 2008 (ps), 8 Feb, 2008 (pdf)

Past meeting: Friday, 11 January, 2008

Room A01

9:30 - 10:20: Franz Merkl (University of Munich) Linearly edge-reinforced random walks 10:30--11:20: Karl-Theodor Sturm (University of Bonn) Entropic measure and Wasserstein diffusion 11:30-12:20: Georg Dolzmann (University of Regensburg) Material systems with orientational degrees of freedom Printable announcements: 11 Jan, 2008 (ps), 11 Jan, 2008 (pdf)

Past meeting: Friday, 30 November, 2007

Room MA 313/314

9:50 - 10:40: Noemi Kurt (University of Zurich) A Gaussian interface model with Laplacian interactions in the critical dimension 10:50--11:40: Fabio Toninelli (University of Lyon) Disordered pinning models: beyond annealed bounds 11:50-12:40: Milos Zahradnik (Charles University of Prague) A purely combinatorial approach to cluster expansions Printable announcements: 30 Nov, 2007 (ps), 30 Nov, 2007 (pdf)

Past meeting: Friday, 13 July, 2007

Room G10

9:30 - 10:20: Anna de Masi (Aquila) Ergodic properties of Gibbs measures with constraints 10:30--11:20: Günther Grün (Erlangen) Thin-film flow influenced by thermal fluctuations 11:30-12:20: Matthias Löwe (Münster) Critical fluctuations in the Hopfield model Printable announcements: 13 July, 2007 (ps), 13 July, 2007 (pdf)

Past meeting: Friday, 15 June, 2007

Room MA313/314

9:40 - 10:30: Manfred Salmhofer (Leipzig) Determinant bounds and the Matsubara UV problem of many-fermion systems 10:40--11:30: Frank Redig (Leiden) 11:40-12:30: Florian Theil (Warwick) To be announced Printable announcements: 15 June, 2007 (ps), 15 June, 2007 (pdf)

Past meeting: Friday, 9 February, 2007

Room A01

10:30 - 11:30: Karel Netocny (Prague) Towards quantum large deviation theory 11:40--12:40: Jan Swart (Prague) The rebellious voter model 14:00-15:00: Felix Otto (Bonn) A new criterion for the logarithmic Sobolev inequality Printable announcements: 9 Feb, 2007 (ps), 9 Feb, 2007 (pdf)

Past meeting: Friday, 19 January, 2007

Room MA313/314

9:45 - 10:45: Thierry Bodineau (Paris) Current large deviations in stochastic systems 10:55--11:55: Nicolas Dirr (MPI MIS Leipzig) Sharp-interface limit of a mesoscopic energy with a random external field. 13:00-14:00 Senya Shlosman (Marseille) Condensation phenomenon in the equilibrium statistical mechanics Printable announcements: 19 Jan, 2007 (ps), 19 Jan, 2007 (pdf)

Past meeting: Friday, 1 December, 2006

Room A01

10:30 - 11:30: Lorenzo Zambotti (Paris) Stochastic models for the evolution of a small droplet on a wall 11:40--12:40: Andrea Braides (Rome) Variational problems with percolation 14:00-15:00: Volker Bach (Mainz) The renormalized electron mass and other topics in nonrelativistic quantum electrodynamics Printable announcements: 1 Dec, 2006 (ps), 1 Dec, 2006 (pdf)

Past meeting: Friday, 3 November, 2006

Room MA313/314

9:45 - 10:45: Rongfeng Sun (TU Berlin) The Brownian net 10:55--11:55: Codina Cotar (TU Berlin) Construction of a percolating hard sphere model 13:00-14:00 Richard James (University of Minnesota and MPI MIS Leipzig) New observations on the origins of hysteresis in phase transformations and metastability in the calculus of variations Printable announcements: 3 Nov, 2006 (ps), 3 Nov, 2006 (pdf)

Past meeting: Friday, 6 July, 2006

Felix Klein Lecture Hall (room 4-24),

10:30 - 11:30: Alexander Mielke (WIAS Berlin and HU Berlin) Multiple scales and Gamma limits in rate-independent material models 11:40 - 12:40: Stefan Adams (MPI Leipzig) Large deviations for long cycles and probabilistic approaches to Bose-Einstein condensation 14:00-15:00 Amir Dembo (Stanford University) Sequence and structure matching: applications of probability theory Printable announcements: 7 July, 2006 (ps), 7 July, 2006 (pdf)

Past meeting: Friday, 21 April 2006

Room MA415

10:15 - 11:15: Max von Renesse (TU Berlin) Stochastic heat equation in Wasserstein space as generalized Fleming-Viot process 11:25 - 12:25: Michiel van den Berg (Bristol University) Heat flow, Brownian motion and Hardy inequality for complete Riemannian manifolds 13:30-14:30 Anton Bovier (TU Berlin and Weierstrass Institute Berlin) Spectral approaches to ageing Printable announcements: 21 April, 2006 (ps), 21 April, 2006 (pdf)