Workshop: Spectral Theory of Quasi-Periodic and Random Operators

November 12-16, 2018

Program

 

Monday, November 12, 2018

08:30 - 09:00
Registration (Room 5345) and Coffee (Room 6245)


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

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
Abstract

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

Diapos / Slides
11:45 - 12:25

Chebyshev polynomials on multi-component sets
Abstract

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

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

Diapos / Slides

 

Tuesday, November 13, 2018

08:30 - 09:00
Coffee & 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
Abstract
09:45 - 10:25
Robert Sims
(University of Arizona)
On the regime of localized excitations for disordered oscillator systems
Abstract

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

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

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

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

Diapos / Slides

15:30 - 15:45
Coffee break

Session - Mathematical Physics Seminar

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

 

Wednesday, November 14, 2018

08:30 - 09:00
Coffee & Croissants


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

Diapos / Slides
10:30 - 11:00
Coffee break
11:00 - 11:40
Jacob Shapiro
(Columbia University)
Complete localization for disordered chiral chains
Abstract

Diapos / Slides
11:45 - 12:25
Qi Zhou
(Nanjing University)
Exponential dynamical localization: criterion and applications
Abstract
12:30 - 14:00
Lunch break
14:00 - 14:40
Wei-Min Wang
(Université de Cergy-Pontoise)
Localization and Poisson statistics for random graph Laplacians
Abstract
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
Abstract

Diapos / Slides

15:30 - 16:00
Coffee break

Session - Aisenstadt Chair

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

 

Thursday, November 15, 2018

08:30 - 09:00
Coffee & Croissants


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

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
Abstract

Diapos / Slides
10:30 - 11:00
Coffee break
11:00 - 11:40
Jeffrey Schenker
(Michigan State University)
Quantum diffusion in fluctuating media
Abstract

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

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

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

15:30 - 16:00
Coffee break

Session - Aisenstadt Chair

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

 

Friday, November 16, 2018

08:30 - 09:00
Coffee & Croissants


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

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

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

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

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

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

Diapos / Slides

15:30 - 16:00
Coffee break

Session - Aisenstadt Chair
Meeting room(s) : 1140

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

Diapos / Slides

17:00
Reception