Mathematics and physics of disordered systems

Workshop theme

The goal of the meeting is to review the progress in studies of the models of random media where disorder plays an essential role. Schroedinger operators with random potential were historically among the first models of that type, and the phenomenon of the Anderson localization still remains among the most important disorder-dominated effects with profound implications for other fields, such as as e.g. the Quantum Hall Effect. Various facets of the Anderson localization such as the wave function multifractality, relations between quantum localization and special types of classical random walks, interaction-induced criticality in topological insulators, and many other directions will be discussed at the conference. Other related areas of considerable research activity that will be addressed in the meeting include extreme value statistics of disordered energy landscapes, polymers in disordered media, random walks inrandom environment, Random Matrix Theory.

Applications for this workshop are now closed

Timetable

Monday 17th September 2012
08:30 to 09:25	Registration	No Room Required
09:25 to 09:30	Welcome from John Toland (INI Director)	Room 1
09:30 to 10:10	On Random Matrices Related to Quantum Informatics	Room 1
10:10 to 10:50	Alexander Finkelstein Weizmann Institute and Texas A&M University Effects of Interactions and Non-linearity for a Pulse Propagation in a Disordered Medium	Room 1
10:50 to 11:10	Morning Coffee	No Room Required
11:10 to 11:50	Newton's Method and Localization	Room 1
11:50 to 12:30	Francois Germinet Université de Cergy-Pontoise Localization for Schrödinger operators with Delone potentials	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:20 to 15:00	Illya Gruzberg University of Chicago Quantum Hall transitions and conformal restriction	Room 1
15:00 to 15:40	Erwin Bolthausen Universität Zürich On the localization-delocalization critical line for the random copolymer	Room 1
15:40 to 16:10	Afternoon Tea	No Room Required
16:10 to 16:50	Antti Kupiainen University of Helsinki Critical Mandelbrot Cascades	Room 1
16:50 to 17:30	Sebastian Müller University of Bristol Localisation for random block operators	Room 1
17:30 to 18:30	Welcome Drinks Reception	No Room Required
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Tuesday 18th September 2012
09:30 to 10:10	Shinsei Ryu University of Illinois at Urbana-Champaign Topological phases of matter, Anderson localization/delocalization and anomalous transport law	Room 1
10:10 to 10:50	Dmitri Vassiliev University College London Recent progress in the spectral theory of first order elliptic systems	Room 1
10:50 to 11:10	Morning Coffee	No Room Required
11:10 to 11:50	Alexander Mirlin Classification and symmetry properties of scaling dimensions at Anderson transitions	Room 1
11:50 to 12:30	Jon Keating University of Bristol Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta-Function	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:20 to 15:00	Konstantin Khanin University of Toronto Space-time stationary solutions for the random forced Burgers equation	Centre for Mathematical Sciences
15:00 to 15:40	Neil O'Connell University of Warwick An interacting particle system related to the quantum Toda chain	Centre for Mathematical Sciences
15:40 to 16:20	Afternoon Tea	No Room Required
16:20 to 17:00	Christophe Sabot Université Claude Bernard Lyon 1 Edge reinforced random walks, Vertex reinforced jump process, and the SuSy hyperbolic sigma model (I)	Centre for Mathematical Sciences
17:00 to 17:40	Alexander Ossipov University of Nottingham Critical properties of the long-range random models	Centre for Mathematical Sciences
19:30 to 22:00	Conference Dinner at Trinity College	No Room Required

Wednesday 19th September 2012
09:30 to 10:10	Pierre Tarres University of Oxford Edge reinforced random walks, Vertex reinforced jump process and the SuSy hyperbolic sigma model (II)	Room 1
10:10 to 10:50	Vladimir Kravtsov Abdus Salam International Centre for Theoretical Physics Anomalously localized states in the one-dimensional Anderson localization model at E=0	Room 1
10:50 to 11:10	Morning Coffee	No Room Required
11:10 to 11:50	Antti Knowles New York University Diffusion profile and delocalization for random band matrices	Room 1
11:50 to 12:30	Dmitrii Shepelyansky Université Paul Sabatier Toulouse III Kolmogorov turbulence, Anderson localization and KAM integrability	Room 1
12:30 to 13:30	Lunch at Wolfson Court	Room 1
14:20 to 15:00	Nick Crawford Technion - Israel Institute of Technology Localization for Linearly Reinforced Random Walks and Vertex Reinforced Jump Processes (iii)	Room 1
15:00 to 15:40	Margherita Disertori Université de Rouen Supersymmetry in localization/delocalization problems	Room 1
15:40 to 16:10	Afternoon Tea	No Room Required
16:10 to 16:50	Wojciech De Roeck Ruprecht-Karls-Universität Heidelberg Diffusion for a quantum particle coupled to a phonon gas	Room 1
16:50 to 17:30	Svetlana Jitomirskaya University of California, Irvine Analytic quasiperiodic matrix cocycles: continuity and quantization of the Lyapunov exponents	Room 1
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Thursday 20th September 2012
09:30 to 10:10	Alexander Sodin Institute for Advanced Study, Princeton New results on Rademacher Fourier and Taylor series	Room 1
10:10 to 10:50	Pierre Le Doussal CNRS - Ecole Normale Superieure Paris Universal statistics for directed polymers and the KPZ equation from the replica Bethe Ansatz	Room 1
10:50 to 11:10	Morning Coffee	No Room Required
11:10 to 11:50	Maria Shcherbina Institute for Low Temperatures, Kharkov Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices	Room 1
11:50 to 12:30	Anderson localization, topology, and interaction	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
13:30 to 17:30	Discussion Time	Room 1
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Friday 21st September 2012
09:30 to 10:10	Maria Shcherbina Institute for Low Temperatures, Kharkov Statistical mechanics approach to the random matrix models	Room 1
10:10 to 10:50	Igor Gornyi Enhancement of Superconductivity by Anderson Localization	Room 1
10:50 to 11:10	Morning Coffee	No Room Required
11:10 to 11:50	Eugene Bogomolny Université Paris Saclay Near integrable systems	Room 1
11:50 to 12:30	The low lying spectrum of one-dimensional random models	Room 1
12:30 to 13:30	Lunch at Wolfson Court	No Room Required
14:20 to 15:00	Shmuel Fishman Technion - Israel Institute of Technology Spreading in potentials random in space and time	Room 1
15:00 to 15:40	Victor Tchoulaevski Université de Reims Champagne-Ardenne Progress in rigorous multi-particle localization: Simpler proofs of stronger results	Room 1
15:40 to 16:20	Afternoon Tea	No Room Required
18:45 to 19:30	Dinner at Wolfson Court	No Room Required

Mathematics and physics of disordered systems

Speakers

Eugene Bogomolny Université Paris Saclay
Erwin Bolthausen Universität Zürich
Nick Crawford Technion - Israel Institute of Technology
Wojciech De Roeck Ruprecht-Karls-Universität Heidelberg
Margherita Disertori Université de Rouen
Alexander Finkelstein Weizmann Institute and Texas A&M University
Shmuel Fishman Technion - Israel Institute of Technology
Francois Germinet Université de Cergy-Pontoise
Igor Gornyi
Illya Gruzberg University of Chicago
Svetlana Jitomirskaya University of California, Irvine
Jon Keating University of Bristol
Konstantin Khanin University of Toronto
Antti Knowles New York University
Vladimir Kravtsov Abdus Salam International Centre for Theoretical Physics
Antti Kupiainen University of Helsinki
Pierre Le Doussal CNRS - Ecole Normale Superieure Paris
Alexander Mirlin
Sebastian Müller University of Bristol
Neil O'Connell University of Warwick
Alexander Ossipov University of Nottingham
Shinsei Ryu University of Illinois at Urbana-Champaign
Christophe Sabot Université Claude Bernard Lyon 1
Maria Shcherbina Institute for Low Temperatures, Kharkov
Dmitrii Shepelyansky Université Paul Sabatier Toulouse III
Alexander Sodin Institute for Advanced Study, Princeton
Pierre Tarres University of Oxford
Victor Tchoulaevski Université de Reims Champagne-Ardenne
Dmitri Vassiliev University College London

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Mathematics and physics of disordered systems

Workshop theme

Applications for this workshop are now closed

Timetable

Speakers

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