Mathematics and Physics of Anderson Localization: 50 Years After

Mathematics and Physics of Anderson Localization: 50 Years After

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In his seminal paper Absence of diffusion in certain random lattices (1958) Philip W. Anderson discovered one of the most striking quantum interference phenomena: particle localization due to disorder. Cited in 1977 for the Nobel prize in physics, that paper was fundamental for many subsequent devel…

Cambridge University


    • Sep 25, 2012 LATEST EPISODE
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    Latest episodes from Mathematics and Physics of Anderson Localization: 50 Years After

    Progress in rigorous multi-particle localization: Simpler proofs of stronger results

    Play Episode Listen Later Sep 25, 2012 41:59


    Tchoulaevski, V (Université de Reims Champagne-Ardenne) Friday 21 September 2012, 15:00-15:40

    progress stronger simpler particle proofs localization rigorous
    Spreading in potentials random in space and time

    Play Episode Listen Later Sep 25, 2012 40:07


    Fishman, S (Technion - Israel Institute of Technology) Friday 21 September 2012, 14:20-15:00

    spreading fishman potentials space and time technology friday
    The low lying spectrum of one-dimensional random models

    Play Episode Listen Later Sep 25, 2012 44:13


    Klopp, F (Université Pierre & Marie Curie-Paris VI ) Friday 21 September 2012, 11:50-12:30

    pierre lying models spectrum klopp dimensional
    Near integrable systems

    Play Episode Listen Later Sep 25, 2012 40:53


    Bogomolny, E (Université Paris-Sud 11) Friday 21 September 2012, 11:10-11:50

    paris sud
    Enhancement of Superconductivity by Anderson Localization

    Play Episode Listen Later Sep 25, 2012 44:10


    Gornyi, I (Forschungszentrum Karlsruhe) Friday 21 September 2012, 10:10-10:50

    enhancements localization superconductivity
    Statistical mechanics approach to the random matrix models

    Play Episode Listen Later Sep 25, 2012 43:21


    Shcherbina, M (Institute for Low Temperatures, Kharkov) Friday 21 September 2012, 09:30-10:10

    matrix models statistical mechanics
    Anderson localization, topology, and interaction

    Play Episode Listen Later Sep 24, 2012 41:41


    Ostrovsky, P (Max Planck Institut für Festkörperforschung) Thursday 20 September 2012, 11:50-12:30

    interaction localization topology festk ostrovsky
    Universality of the second mixed moment of the characteristic polynomials of the 1D Gaussian band matrices

    Play Episode Listen Later Sep 24, 2012 42:03


    Shcherbina, T (Institute for Advanced Study, Princeton) Thursday 20 September 2012, 11:10-11:50

    band mixed characteristics advanced study universality matrices gaussian polynomials
    Universal statistics for directed polymers and the KPZ equation from the replica Bethe Ansatz

    Play Episode Listen Later Sep 24, 2012 43:02


    Le Doussal, P (École Normale Supérieure) Thursday 20 September 2012, 10:10-10:50

    universal statistics directed ansatz equation replicas polymer bethe normale sup
    New results on Rademacher Fourier and Taylor series

    Play Episode Listen Later Sep 24, 2012 33:30


    Sodin, M (Tel Aviv University) Thursday 20 September 2012, 09:30-10:10

    fourier rademacher new results
    Diffusion for a quantum particle coupled to a phonon gas

    Play Episode Listen Later Sep 24, 2012 43:49


    De Roeck, W (Universität Heidelberg) Wednesday 19 September 2012, 16:10-16:50

    quantum coupled diffusion particle phonon
    Supersymmetry in localization/delocalization problems

    Play Episode Listen Later Sep 24, 2012 42:54


    Disertori, M (Université de Rouen) Wednesday 19 September 2012, 15:00-15:40

    localization supersymmetry
    Localization for Linearly Reinforced Random Walks and Vertex Reinforced Jump Processes (iii)

    Play Episode Listen Later Sep 24, 2012 39:06


    Crawford, N (Technion - Israel Institute of Technology) Wednesday 19 September 2012, 14:20-15:00

    jump walks crawford processes localization vertex reinforced technology wednesday
    Kolmogorov turbulence, Anderson localization and KAM integrability

    Play Episode Listen Later Sep 24, 2012 45:04


    Shepelyansky, D (Université Paul Sabatier Toulouse III) Wednesday 19 September 2012, 11:50-12:30

    turbulence localization kolmogorov
    Anomalously localized states in the one-dimensional Anderson localization model at E=0

    Play Episode Listen Later Sep 24, 2012 43:53


    Kravtsov, V (Abdus Salam International Centre for Theoretical Physics) Wednesday 19 September 2012, 10:10-10:50

    model states dimensional localization localized
    Edge reinforced random walks, Vertex reinforced jump process and the SuSy hyperbolic sigma model (II)

    Play Episode Listen Later Sep 21, 2012 41:25


    Tarres, P (University of Oxford) Wednesday 19 September 2012, 09:30-10:10

    model jump walks sigma vertex reinforced hyperbolic oxford wednesday
    Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta-Function

    Play Episode Listen Later Sep 21, 2012 39:08


    Keating, J (University of Bristol) Tuesday 18 September 2012, 11:50-12:30

    transition characteristics function freezing keating zeta matrices riemann polynomials j university
    Classification and symmetry properties of scaling dimensions at Anderson transitions

    Play Episode Listen Later Sep 21, 2012 44:40


    Mirlin, A (Universität Karlsruhe (TH)) Tuesday 18 September 2012, 11:10-11:50

    scaling transitions universit properties dimensions classification symmetry
    Recent progress in the spectral theory of first order elliptic systems

    Play Episode Listen Later Sep 21, 2012 40:59


    Vassiliev, D (University College London) Tuesday 18 September 2012, 10:10-10:50

    progress theory first order spectral elliptic
    Topological phases of matter, Anderson localization/delocalization and anomalous transport law

    Play Episode Listen Later Sep 21, 2012 41:30


    Ryu, S (University of Illinois at Urbana-Champaign) Tuesday 18 September 2012, 09:30-10:10

    illinois transport phases ryu localization anomalous topological s university
    Localisation for random block operators

    Play Episode Listen Later Sep 21, 2012 41:33


    Müller, P (Ludwig-Maximilians-Universität München) Monday 17 September 2012, 16:50-17:30

    operators localisation
    Critical Mandelbrot Cascades

    Play Episode Listen Later Sep 21, 2012 43:02


    Kupiainen, A (University of Helsinki) Monday 17 September 2012, 16:10-16:50

    university cascades mandelbrot helsinki monday
    On the localization-delocalization critical line for the random copolymer

    Play Episode Listen Later Sep 21, 2012 38:51


    Bolthausen, E (Universität Zürich) Monday 17 September 2012, 15:00-15:40

    localization
    Quantum Hall transitions and conformal restriction

    Play Episode Listen Later Sep 21, 2012 44:18


    Gruzberg, I (University of Chicago) Monday 17 September 2012, 14:20-15:00

    transitions quantum restriction conformal chicago monday
    Localization for Schrödinger operators with Delone potentials

    Play Episode Listen Later Sep 20, 2012 41:54


    Germinet, F (Université de Cergy-Pontoise) Monday 17 September 2012, 11:50-12:30

    schr operators dinger localization potentials
    Newton's Method and Localization

    Play Episode Listen Later Sep 20, 2012 44:43


    Imbrie, J (University of Virginia) Monday 17 September 2012, 11:10-11:50

    method newton localization j university
    Effects of Interactions and Non-linearity for a Pulse Propagation in a Disordered Medium

    Play Episode Listen Later Sep 20, 2012 38:58


    Finkelstein, A (Weizmann Institute and Texas A&M University) Monday 17 September 2012, 10:10-10:50

    medium effects pulse interactions disordered finkelstein propagation weizmann institute linearity m university monday
    On Random Matrices Related to Quantum Informatics

    Play Episode Listen Later Sep 20, 2012 40:57


    Pastur, L (National Academy of Sciences of Ukraine) Monday 17 September 2012, 09:30-10:10

    sciences quantum informatics matrices
    Localization and delocalization in quantum hall systems

    Play Episode Listen Later Jan 22, 2009 59:00


    Germinet, F (Université de Cergy-Pontoise) Friday 19 December 2008, 11:30-12:30 Classical and Quantum Transport in the Presence of Disorder

    presence disorders quantum localization
    Eigenvalue statistics for the discrete and continuous Anderson model

    Play Episode Listen Later Jan 22, 2009 43:56


    Combes, JM (Université du Sud Toulon-Var ) Friday 19 December 2008, 10:00-11:00 Classical and Quantum Transport in the Presence of Disorder

    model presence disorders statistics continuous discrete combes
    Edge-reinforced random walk on a two-dimensional graph

    Play Episode Listen Later Jan 22, 2009 52:11


    Rolles, SWW (Technische Universität München) Friday 19 December 2008, 09:00-10:00 Classical and Quantum Transport in the Presence of Disorder

    presence disorders dimensional graphs reinforced random walk
    Fluctuations and growth of the magnitude of the Dirichlet determinants of Anderson Model at all disorders

    Play Episode Listen Later Jan 22, 2009 50:16


    Goldstein, M (Toronto) Thursday 18 December 2008, 16:30-17:30 Classical and Quantum Transport in the Presence of Disorder

    growth model presence disorders goldstein magnitude fluctuations determinants dirichlet
    Wave Turbulence: solved and open problems

    Play Episode Listen Later Jan 22, 2009 61:54


    Nazarenko, S (Warwick) Thursday 18 December 2008, 15:30-16:30 Classical and Quantum Transport in the Presence of Disorder

    presence wave disorders solved turbulence
    Nonlinear diffusion in a random environment

    Play Episode Listen Later Jan 22, 2009 56:39


    Kupiainen, A (Helsinki) Thursday 18 December 2008, 14:00-15:00 Classical and Quantum Transport in the Presence of Disorder

    environment presence disorders diffusion nonlinear
    On level spacings for one-dimensional Schroedinger operators

    Play Episode Listen Later Jan 22, 2009 52:44


    Last, Y (Hebrew University of Jerusalem) Thursday 18 December 2008, 11:30-12:30 Classical and Quantum Transport in the Presence of Disorder

    presence disorders dimensional operators schroedinger
    Interpretation of the Altshuler Andreev saddle point

    Play Episode Listen Later Jan 22, 2009 60:00


    Altland, A (Köln) Thursday 18 December 2008, 10:00-11:00 Classical and Quantum Transport in the Presence of Disorder

    presence disorders interpretation saddle
    Disconnection of discrete cylinders and random interlacements

    Play Episode Listen Later Jan 21, 2009 58:38


    Sznitman, AS (ETH Zürich) Thursday 18 December 2008, 09:00-10:00 Classical and Quantum Transport in the Presence of Disorder

    presence disorders disconnection discrete cylinders
    Rare events and phase transitions in reaction-diffusion systems

    Play Episode Listen Later Jan 21, 2009 50:50


    Kamenev, A (Minnesota) Wednesday 17 December 2008, 15:30-16:30 Classical and Quantum Transport in the Presence of Disorder

    events presence phase rare disorders transitions diffusion
    Quantum chaos on discrete graphs

    Play Episode Listen Later Jan 21, 2009 59:04


    Smilansky, U (Weizmann Institute) Wednesday 17 December 2008, 14:00-15:00 Classical and Quantum Transport in the Presence of Disorder

    chaos presence disorders quantum graphs discrete
    Exit measures for random walks in random environments

    Play Episode Listen Later Jan 21, 2009 58:25


    Zeitouni, O (Weizmann Institute) Wednesday 17 December 2008, 11:30-12:30 Classical and Quantum Transport in the Presence of Disorder

    presence exit disorders walks measures environments
    Collective electronic transport close to the metal-insulator or superconductor insulator transitions.

    Play Episode Listen Later Jan 21, 2009 58:12


    Mueller, M (Université de Genève) Wednesday 17 December 2008, 10:00-11:00 Classical and Quantum Transport in the Presence of Disorder

    presence metal collective disorders transitions electronic transport mueller superconductors insulator
    Simple proofs of simple facts in localization theory

    Play Episode Listen Later Jan 21, 2009 54:26


    Tchulaevsky, V (Université de Reims Champagne-Ardenne) Wednesday 17 December 2008, 09:00-10:00 Classical and Quantum Transport in the Presence of Disorder

    simple presence theory disorders proofs localization

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