On localization in the continuous Anderson-Bernoulli model in higher dimension
By Jean Bourgain, Carlos E. Kenig. 2005
324 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/bd80846eca58cbf132ef7b47fb12512268c2e691
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Luis Escauriaza
- Blair Davey
- Carlos E. Kenig
- Gustavo Ponce
- Luis Vega
- Gunther Uhlmann
- Zhongwei Shen
- G A Seregin
In Mathematical Physics
- Carlos E. Kenig
- Gustavo Ponce
- Luis Escauriaza
- Blair Davey
- Luis Vega
- Michael Aizenman
- Terence Tao
- D. Tataru
Citations in the corpus
- Localization (2019, unknown): “The highly technical version of MSA developed in [BK05, GK12] and various works which built upon these excepted, applications of MSA generally require some moment condition but can treat H¨older regular potentials in higher dimensions.”
- Some Quantitative Unique Continuation Results for Eigenfunctions of the Magnetic Schrödinger Operator (2012, methodology): “1 by following the approach presented in [4].”
- Random Operators: Disorder Effects on Quantum Spectra and Dynamics (2015, background): “This is based on a version of MSA in the continuum allowing Bernoulli variables derived by Bourgain and Kenig [7] (which has resisted adaptation to the lattice case due to a lack of required unique continuation properties of the eigenfunctions of (1)).”
- On uniqueness properties of solutions of the k-generalized KdV equations (2006, methodology): “This idea was motivated by the work of Bourgain and Kenig [1] on a class of stationary Schrödinger operators ( i.”