Anderson localisation and related phenomena

Workshop theme

This is a one-week workshop bringing together mathematicians and theoretical physicists who are leaders in the study of various mathematical and physical aspects of the theory of random Schrödinger operators, Anderson localization phenomena, and related topics. Presentations are selected with the intent to review the current state of the art of the field in theoretical and mathematical physics.

Among the topics that will be addressed during the workshop are:

The nature of critical phenomena associated with localization-delocalization transitions;
The existence and statistical properties of extended states for D > 2 and the behaviour in the critical dimension D = 2;
Supersymmetric methods and nonlinear σ - model techniques;
The localization-delocalization phenomena associated with the Integer Quantum Hall effect and localization in the presence of a random magnetic field;
Asymptotic behaviour of products of random matrices and associated Lyapunov exponents;
Spectra, localization and delocalization in disordered systems described by non-selfadjoint operators;
Localization in systems with nonlinearities, and localization-delocalization phenomena in disordered systems of interacting quantum particles.

Timetable

Monday 18th August 2008
09:00 to 09:55	Registration	No Room Required
09:55 to 10:00	David Wallace - welcome	No Room Required
10:00 to 11:00	David Thouless University of Washington Localization, conduction, and superfluidity	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	On distribution of zeros of polynomials approximating exponential type entire functions	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Igor Gornyi Anderson localization and electron-electron interaction	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Horng-Tzer Yau Harvard University Local semicircle law and complete delocalization for Wigner random matrices	Room 1
16:30 to 17:30	Franz Joachim Wegner Ruprecht-Karls-Universität Heidelberg Cell model for scaling near the mobility edge	Room 1
17:30 to 18:30	Welcome Wine Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Tuesday 19th August 2008
09:00 to 10:00	Abel Klein University of California, Irvine Poisson statistics for eigenvalues of continuum random schr\"odinger operators	Room 1
10:00 to 11:00	John Chalker University of Oxford Quantum and classical localisation transitions	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Brian Davies King's College London Spectral bounds for non-self-adjoint Anderson models	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Alexander Mirlin Electron transport in disordered graphene	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Non-Hermitian Anderson model on a strip: properties of eigenvalues and eigenfunctions	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Wednesday 20th August 2008
09:00 to 10:00	Michael Gershenson Rutgers, The State University of New Jersey Interaction effects in the conductivity of high-mobility Si MOSFETs	Room 1
10:00 to 11:00	A variant of an estimate by Minami	Room 1
11:00 to 11:30	Coffee	No Room Required
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
19:00 to 23:00	Garden Party at St Edmund's College	No Room Required

Thursday 21st August 2008
09:00 to 10:00	Konstantin Efetov Ruhr-Universität Bochum Anderson localization in 2D systems : from Schrodinger to Dirac stochastic equations	Room 1
10:00 to 11:00	Margherita Disertori Université de Rouen A supersymmetric model for quantum diffusion in 3d	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Jakob Müller-Hill University of Cologne Hyperbolic Hubbard-Stratonovich transformations	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Diffusion of wave packets in a Markov random potential	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Hermann Schulz-Baldes Friedrich-Alexander-Universität Erlangen-Nürnberg The random phase hypothesis for quasi-1D random media	Room 1
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Friday 22nd August 2008
09:00 to 10:00	On the Mott formula for the low frequency conductivity: a review	Room 1
10:00 to 11:00	Shmuel Fishman Technion - Israel Institute of Technology Anderson localisation for the nonlinear Schroedinger Equation (NLSE): results and puzzles	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Antonio Garcia-Garcia Princeton University Anderson localization: from theoretical aspects to applications in QCD and cold atoms	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 15:00	Vadim Oganesyan Stanford University Quantum vs. classical localization of excited many-particle states	Room 1
15:00 to 15:30	Tea	No Room Required
18:45 to 19:30	Dinner at Wolfson Court (Residents Only)	No Room Required

Anderson localisation and related phenomena

Speakers

John Chalker University of Oxford
Brian Davies King's College London
Margherita Disertori Université de Rouen
Konstantin Efetov Ruhr-Universität Bochum
Shmuel Fishman Technion - Israel Institute of Technology
Antonio Garcia-Garcia Princeton University
Michael Gershenson Rutgers, The State University of New Jersey
Igor Gornyi
Abel Klein University of California
Alexander Mirlin
Jakob Müller-Hill University of Cologne
Vadim Oganesyan Stanford University
Hermann Schulz-Baldes Friedrich-Alexander-Universität Erlangen-Nürnberg
David Thouless University of Washington
Franz Joachim Wegner Ruprecht-Karls-Universität Heidelberg
Horng-Tzer Yau Harvard University

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Anderson localisation and related phenomena

Workshop theme

Timetable

Speakers

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