Localization for N-particle continuous models with strongly mixing\n correlated random potentials

2017/03/26 by Trésor Ekanga, Ekanga, Trésor
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1703.08822

openalex publication_date 2017/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the multi-particle Anderson model with correlated random potential in the\ncontinuum, we show under fairly general assumptions on the inter-particle\ninteraction and the random external potential, the Anderson localization which\nconsists of both the spectral, exponential localization and the strong\ndynamical localization. The localization results are proven near the lower\nspectral edge of the almost sure spectrum and the proofs require the uniform\nlog-H "older continuity assumption of the probability distribution functions of\nthe random field in addition of the Rosenblatt's strongly mixing condition.\n

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