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2025 Random centers of localization for random operators
Raphael Ducatez
Author Affiliations +
Electron. Commun. Probab. 30: 1-8 (2025). DOI: 10.1214/24-ECP649

Abstract

We propose a new random process to construct the eigenvectors of some random operators which gives a short and clean connection with the resolvent and could be used to simplify previous proofs about Anderson localization. In this process the center of localization has to be chosen randomly.

Citation

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Raphael Ducatez. "Random centers of localization for random operators." Electron. Commun. Probab. 30 1 - 8, 2025. https://doi.org/10.1214/24-ECP649

Information

Received: 15 July 2024; Accepted: 9 December 2024; Published: 2025
First available in Project Euclid: 28 January 2025

arXiv: 2406.07035
Digital Object Identifier: 10.1214/24-ECP649

Subjects:
Primary: 47B93 , 60B20

Keywords: Anderson model , random matrices

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