DiscoverPeriodic and Ergodic Spectral ProblemsAn eigensystem approach to Anderson localization
An eigensystem approach to Anderson localization

An eigensystem approach to Anderson localization

Update: 2015-06-30
Share

Description

Co-author: Alexander Elgart (Virginia Tech)

We introduce a new approach for proving localization (pure point spectrum with exponentially decaying eigenfunctions, dynamical localization) for the Anderson model at high disorder. In contrast to the usual strategy, we do not study finite volume Green's functions. Instead, we perform a multiscale analysis based on finite volume eigensystems, establishing localization of finite volume eigenfunctions with high probability. (Joint work with A. Elgart.)
Comments 
Top Podcasts
The Best New Comedy Podcast Right Now – June 2024The Best News Podcast Right Now – June 2024The Best New Business Podcast Right Now – June 2024The Best New Sports Podcast Right Now – June 2024The Best New True Crime Podcast Right Now – June 2024The Best New Joe Rogan Experience Podcast Right Now – June 20The Best New Dan Bongino Show Podcast Right Now – June 20The Best New Mark Levin Podcast – June 2024
In Channel
Absolute continuity returns: potentials that are periodic in some directions only

Absolute continuity returns: potentials that are periodic in some directions only

2015-07-0701:09:32

Anderson localization in a multi-dimensional deterministic disorder II

Anderson localization in a multi-dimensional deterministic disorder II

2015-07-0701:08:00

Compactness principles and convergence of spectra in double-porosity models

Compactness principles and convergence of spectra in double-porosity models

2015-07-0701:00:00

Homogenization of operators with quasi-periodic coefficients

Homogenization of operators with quasi-periodic coefficients

2015-07-0750:58

The nodal count mystery

The nodal count mystery

2015-07-0701:01:00

Anderson localization in a multi-dimensional deterministic disorder I

Anderson localization in a multi-dimensional deterministic disorder I

2015-07-0751:13

Stark-Wannier ladders and cubic exponential sums

Stark-Wannier ladders and cubic exponential sums

2015-07-0701:00:00

Interacting quantum particles in a 1 D random background

Interacting quantum particles in a 1 D random background

2015-07-0301:05:00

Recent results and open problems on many-body localization

Recent results and open problems on many-body localization

2015-07-0301:04:00

The invariant measure for random walks on a strip

The invariant measure for random walks on a strip

2015-07-0301:04:00

Green's function asymptotic behavior near a non-degenerate spectral edge of a periodic operator

Green's function asymptotic behavior near a non-degenerate spectral edge of a periodic operator

2015-07-0301:02:00

Eigenvalue statistics for random Schrodinger operators

Eigenvalue statistics for random Schrodinger operators

2015-07-0301:02:00

Spectral theory of the Schrödinger operators on fractals

Spectral theory of the Schrödinger operators on fractals

2015-07-0358:20

Localisation and ageing in the parabolic Anderson model

Localisation and ageing in the parabolic Anderson model

2015-07-0344:43

Level Spacing for Non-Monotone Anderson Models

Level Spacing for Non-Monotone Anderson Models

2015-06-3001:01:00

Pure point spectrum in the regime of zero Lyapunov exponents

Pure point spectrum in the regime of zero Lyapunov exponents

2015-06-3001:00:00

Behavior of the spectrum of the periodic Schrodinger operators near the edges of the gaps

Behavior of the spectrum of the periodic Schrodinger operators near the edges of the gaps

2015-06-3056:26

Invariance of IDS under Darboux transformation and its application

Invariance of IDS under Darboux transformation and its application

2015-06-3053:50

An eigensystem approach to Anderson localization

An eigensystem approach to Anderson localization

2015-06-3001:10:00

Dissipative transport in the localized regime

Dissipative transport in the localized regime

2015-06-3001:03:00

loading
Google Play
Download from Google Play
Castbox
Download from App Store
usUnited States
00:00
00:00
x

0.5x

0.8x

1.0x

1.25x

1.5x

2.0x

3.0x

Sleep Timer

Off

End of Episode

5 Minutes

10 Minutes

15 Minutes

30 Minutes

45 Minutes

60 Minutes

120 Minutes

An eigensystem approach to Anderson localization

An eigensystem approach to Anderson localization

Cambridge University