Prof. Dr. Wolfgang König

Berlin-Leipzig Seminar on Analysis and Probability Theory

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

Next meeting: Friday, 26 October, 2012

9:30 - 10:20: Laurent Miclo (Universit\'e Paul Sabatier, Toulouse) On the hypocoercivity of two kinetic toy models Hypocoercivity corresponds to the exponentially fast convergence to equilibrium under hypoelliptic-type assumptions on the underlying Markovian generator. We will investigate two kinetic toy models, one consisting of the rolling up on the circle of the integral of an Ornstein-Uhlenbeck process and the other one being its Gaussian counterpart (with a quadratic confining potential). Since these models are non-reversible, their spectra are not sufficient to deduce the behavior in small and large times, and we need to use certain relations between the eigenvectors (where discrete laws curiously appear). By computing exactly the $L^2$ operator norms of the semi-group at any time, we will quantify how the convergence is first slower but can end up with a better asymptotical rate than the corresponding reversible models. Finally, based on some features of the results, we will discuss a perspective on finding an alternative approach to hypocoercivity, with respect to the analytical (change from $L^2$ to a $H^1$-type coercive norm) and probabilistic (Liapounov functions) methods. (collaboration with S\'ebastien Gadat) 10:30 - 11:20: Florent Barret (MPI Leipzig) Transition metastable times for a class of stochastic partial differential equations In this talk, we study a class of scalar, parabolic, semi-linear stochastic partial differential equations, perturbed by a space-time white noise on a bounded real interval in the small noise limit. Due to the stochastic term, metastable transitions occur between different stable equilibria of the deterministic dynamical system, and different behaviors on different time scales happen. We compute the expectation of the transition times for some models (so-called Eyring-Kramers formula). The proofs use a finite difference approximation and a coupling and apply finite dimensional estimates to the approximation (using potential theory and capacities). We prove the uniformity of the estimates in the dimension, and then we take the limit to recover the infinite dimensional equation. 11:30 - 12:20: Moritz Kassmann (University of Bielefeld) Local regularity of nonlocal operators In recent years several important regularity results for differential operators of second order have been extended or rather transferred to integrodifferential operators of order $\alpha/2 \in (0,1)$. We review some of these works with a special emphasis on two issues: the notion of ellipticity for nonlocal operators and robustness of the results as $\alpha \to 2-$. Under comparability assumptions on the energies we establish a parabolic Harnack inequality which is robust. The talk is based on recent joint works with Dyda, Felsinger, Mimica and Rang. Printable announcements: 26 October, 2012 (ps), 26 October, 2012 (pdf)

Past meeting: Friday, 13 April, 2012

Seminarraum A

9:40 - 10:30: Jiri Cerny (University of Vienna) Chemical distance on random interlacements 11:00 - 11:50: Alexander Mielke (WIAS) Entropy gradient flows for Markov chains and reaction-diffusion systems 12:00 - 12:50: Matthias Röger (University of Dortmund) Confined structures of least bending energy Printable announcements: 13 April, 2012 (ps), 13 April, 2012 (pdf)

Past meeting: Friday, 4 November, 2011

Seminarraum A

10:00 - 10:50: Miguel Ballesteros (TU Braunschweig) Existence and construction of resonances for atoms coupled to the quantized radiation field 11:00 - 11:50: Jonas Tölle (TU Berlin) Singular stochastic evolution inclusions and ergodicity 12:00 - 12:50: Georg Weiss (Universität Düsseldorf) Pulsating waves in self-propagating high temperature synthesis Printable announcements: 4 November, 2011 (ps), 4 November, 2011 (pdf)

Past meeting: Friday, 8 July, 2011

Seminarraum A

9:30 - 10:20: Margit Rösler (TU Clausthal) Multivariable special functions and symmetries 10:30 - 11:20: Wolfgang König (Weierstrass Institute Berlin and TU Berlin) Eigenvalue order statistics and mass concentration in the parabolic Anderson model 11:30 - 12:20: Paul Jung (Sogang University, Seoul) Random-time transformations and fractional stable motions Printable announcements: 8 July, 2011 (ps), 8 July, 2011 (pdf)

Last meeting: Friday, 14 January, 2011

Room 611

10:15 - 11:05: Ben Schweizer (Technical University Dortmund) On the homogenization of Prandtl-Reuss plasticity equations 11:15 - 12:05: Friedrich Götze (University Bielefeld) Approximations in free and classical central limit theorems Printable announcements: 14 Jan, 2011 (ps), 14 Jan, 2011 (pdf)

Past meeting: Friday, 26 November, 2010

Room A01

10:00 - 10:50: Benjamin Schlein (University of Bonn) Effective evolution equations from many body quantum dynamics 11:00 - 11:50: Noam Berger (Hebrew University of Jerusalem) Spin-glasses on $\Z^2$ - Many questions, very few answers 12:00--12:50: Sergio Conti (University of Bonn) On geometrically nonlinear plasticity models in the limit of rigid elasticity Printable announcements: 26 Nov, 2010 (ps), 26 Nov, 2010 (pdf)

Past meeting: Friday, 9 July, 2010

Room MA 313

Seminar room

9:40 - 10:30: Michel Ledoux (University of Toulouse) The geometry of convolution inequalities 10:40 - 11:30: Dorothee Knees (Weierstrass Institute Berlin) On the vanishing viscosity method in fracture mechanics 11:40--12:30: Erwin Bolthausen (TU Berlin, on leave from University of Zurich) On the ultrametricity problem in spin glass theory 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)