Atelier: Théorie spectrale des opérateurs quasi-périodiques et aléatoires

12 au 16 novembre 2018

Programme

 

Le lundi 12 novembre 2018

08:30 - 09:00
Inscription (salle 5345) et Café (salle 6245)


09:00 - 09:40
Frédéric Klopp
(Sorbonne Université)
Resonances for large random samples
Résumé

Diapos / Slides
09:45 - 10:25
Yulia Karpeshina
(University of Alabama at Birmingham)
Quantum transport properties of Schrödinger operator with a quasi-periodic potential in dimension two
Résumé

Diapos / Slides
10:30 - 11:00
Pause-café
11:00 - 11:40
John Imbrie
(University of Virginia)
Eigenvalue separation for quantum systems with discrete disorder
Résumé

Diapos / Slides
11:45 - 12:25

Chebyshev polynomials on multi-component sets
Résumé

Diapos / Slides
12:30 - 14:00
Pause-déjeuner
14:00 - 14:40
Jacob Stordal Christiansen
(Lund University)
Periodic coordinates and a magic formula for finite-gap CMV matrices
Résumé

Diapos / Slides
14:45 - 15:25
Rui Han
(Georgia Institute of Technology)
Discrete Bethe-Sommerfeld conjecture
Résumé
15:30 - 16:00
Pause-café
16:00 - 17:00
Barry Simon
(Caltech)
Periodic Jacobi matrices on trees
Résumé

Diapos / Slides

 

Le mardi 13 novembre 2018

08:30 - 09:00
Café croissants


09:00 - 09:40
Bálint Virág
(University of Toronto)
Random Schrödinger operators, Tracy-Widom distribution, Dyson's spike and a conjecture in group theory
Résumé
09:45 - 10:25
Robert Sims
(University of Arizona)
On the regime of localized excitations for disordered oscillator systems
Résumé

Diapos / Slides
10:30 - 11:00
Pause-café
11:00 - 11:40
Christoph Fischbacher
(The University of Alabama at Birmingham)
Recent progress on XXZ spin systems on general graphs
Résumé

Diapos / Slides
11:45 - 12:25
Rajinder Mavi
(Michigan State University)
Localization and spectral properties of the disordered Holstein model
Résumé

Diapos / Slides
12:30 - 14:00
Pause-déjeuner
14:00 - 14:40
Alexander Elgart
(Virginia Tech)
Level spacing and Poisson statistics for continuum random Schrödinger operators
Résumé

Diapos / Slides
14:45 - 15:25
Martin Gebert
(UC Davis)
A lower Wegner estimate for continuum random Schrödinger operators
Résumé

Diapos / Slides

15:30 - 15:45
Pause-café

Session - Séminaire de physique mathématique

15:45 - 16:45
Michael Aizenman
(Princeton University)
Quasi planar Ising models through the Kac-Ward matrix and a graph zeta function
Résumé

 

Le mercredi 14 novembre 2018

08:30 - 09:00
Café croissants


09:00 - 09:40
Gunter Stolz
(University of Alabama at Birmingham)
Lower bounds for Dirichlet Laplacians and uncertainty principles
Résumé
09:45 - 10:25
Yiqian Wang
(Nanjing University)
On quasiperiodic Schrödinger operators with a $C^2$ cos-type potential and a large coupling
Résumé

Diapos / Slides
10:30 - 11:00
Pause-café
11:00 - 11:40
Jacob Shapiro
(Columbia University)
Complete localization for disordered chiral chains
Résumé

Diapos / Slides
11:45 - 12:25
Qi Zhou
(Nanjing University)
Exponential dynamical localization: criterion and applications
Résumé
12:30 - 14:00
Pause-déjeuner
14:00 - 14:40
Wei-Min Wang
(Université de Cergy-Pontoise)
Localization and Poisson statistics for random graph Laplacians
Résumé
14:45 - 15:25
Chris Marx
(Oberlin College & Conservatory)
Dependence of the density of states on the probability distribution for discrete random Schrödinger operators on graphs
Résumé

Diapos / Slides

15:30 - 16:00
Pause-café

Session - Chaire Aisenstadt

16:00 - 17:00
Svetlana Jitomirskaya
(University of California, Irvine)
Anti-concentration bounds for determinants and Anderson localization
Résumé

 

Le jeudi 15 novembre 2018

08:30 - 09:00
Café croissants


09:00 - 09:40
Xiaolin Zeng
(Université de Strasbourg)
Three aspects on the edge reinforced random walk
Résumé

Diapos / Slides
09:45 - 10:25
Shiwen Zhang
(Michigan State University)
The exact power law for Buffon's needle landing near some random Cantor sets
Résumé

Diapos / Slides
10:30 - 11:00
Pause-café
11:00 - 11:40
Jeffrey Schenker
(Michigan State University)
Quantum diffusion in fluctuating media
Résumé

Diapos / Slides
11:45 - 12:25
Benedek Valkó
(University of Wisconsin-Madison)
Random matrices, operators and analytic functions
Résumé

Diapos / Slides
12:30 - 14:00
Pause-déjeuner
14:00 - 14:40
Wencai Liu
(UC Irvine)
Anderson localization for high dimensional quasi-periodic operators with long-range interactions
Résumé

Diapos / Slides
14:45 - 15:25
Martin Leguil
(University of Toronto)
Invariant graphs and spectral properties of certain Schrödinger operators
Résumé

15:30 - 16:00
Pause-café

Session - Chaire Aisenstadt

16:00 - 17:00
Svetlana Jitomirskaya
(University of California, Irvine)
Localization and delocalization for multidimensional quasiperiodic operators
Résumé

 

Le vendredi 16 novembre 2018

08:30 - 09:00
Café croissants


09:00 - 09:40
Qinghui Liu
(Beijing Institute of Technology)
Multifractal analysis of a class of Moran sets
Résumé

Diapos / Slides
09:45 - 10:25
Constanza Rojas-Molina
(Heinrich-Heine-Universität)
Random Schrödinger operators arising in aperiodic media
Résumé

Diapos / Slides
10:30 - 11:00
Pause-café
11:00 - 11:40
Peter D. Hislop
(University of Kentucky)
Localization and spectral statistics for Schrödinger operators with random point interactions
Résumé

Diapos / Slides
11:45 - 12:25
Vincent Beaud
(Technische Universität München)
Area law and entropy growth in (disordered) oscillator systems
Résumé

Diapos / Slides
12:30 - 14:00
Pause-déjeuner
14:00 - 14:40
Alain Rouault
(Université de Versailles Saint-Quentin-en-Yvelines)
Sum rules via large deviations: A short panoramic travel
Résumé

Diapos / Slides
14:45 - 15:25
Raphael Ducatez
(Université Paris-Dauphine)
A forward-backward random process for the spectrum of 1D Anderson operators
Résumé

Diapos / Slides

15:30 - 16:00
Pause-café

Session - Chaire Aisenstadt
Salle(s) de réunion : 1140

16:00 - 17:00
Svetlana Jitomirskaya
(University of California, Irvine)
Sharp arithmetic transitions for 1D quasiperiodic operators
Résumé

Diapos / Slides

17:00
Réception