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, 9 July, 2010

Room MA 313

Seminar room

9:40 - 10:30: Michel Ledoux (University of Toulouse) The geometry of convolution inequalities The Brascamp-Lieb inequalities for multiple integrals describe versions of the H\"older inequality in directions of the Euclidean space. Established first by symmetrisation, optimisation of Gaussian kernels or optimal transportation, recent developments by E. Carlen, E. Lieb, M. Loss and J. Bennett, A. Carbery, M. Christ, T. Tao put forward a new approach by evolution along the heat equation. In particular, this proof relies on suitable geometric decompositions of the identity, which give direct access to some famous convolution inequalities in Harmonic Analysis with their best constants. 10:40 - 11:30: Dorothee Knees (Weierstrass Institute Berlin) On the vanishing viscosity method in fracture mechanics The Griffith criterion is an energetic fracture criterion which is frequently applied to decide whether a preexisting crack in an elastic body is stationary for given external forces. Moreover, a great number of models rely on the Griffith criterion and describe the time evolution of a crack. In this lecture we model the evolution of a single crack as a rate-independent process based on the Griffith criterion and discuss different possibilities for setting up such models. In the last years mainly two approaches were followed: Models based on global energy minimization (elastic energy + dissipation) and models based on a local description of force balance type. Our focus lies on the analysis of local models which appear as the limit of evolution models with a viscous regularization. Moreover, we discuss the convergence of fully discretized models (i.e. with respect to time and space) to the local model. The convergence proof relies on new regularity estimates for the elastic fields close to the crack tip taking into account non-penetration conditions on the crack faces. Finally an outlook to phase-field like damage models will be given. The advantage of these models is that no a-priori knowledge on the crack path is needed. The research is joint work with A. Mielke, R. Rossi, A. Schr\"oder and C. Zanini. 11:40--12:30: Erwin Bolthausen (TU Berlin, on leave from University of Zurich) On the ultrametricity problem in spin glass theory Ultrametricity is a very puzzling open problem in spin glass theory. We describe the problem, discuss why it is thought to be important, and present attempts to shed some light on it. Printable announcements: 9 July, 2010 (ps), 9 July, 2010 (pdf)

Last meeting: Friday, 18 June, 2010

University of Heidelberg, Institute for Theoretical Physics, Philosophenweg 19, 69120 Heidelberg.

Seminar room

10:15 - 11:15: Wojciech de Roeck (University of Heidelberg) Diffusion in Hamiltonian systems 11:30--12:30: Christof Külske(University of Bochum) Spin dynamics, generalized Gibbs measures and multiple histories Printable announcements: 18 June, 2010 (ps), 15 June, 2010 (pdf)

Last 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 10:40--11:30: Felix Otto (University of Bonn) Optimal error estimates in stochastic homogenization 11:40-12:30: Annibale Magni (University of Dortmund) Perelman's Dilaton 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)