# Localization for $N$-particle continuous models with strongly mixing correlated random potentials

## TL;DR

This paper proves Anderson localization for multi-particle continuum models with correlated random potentials, demonstrating spectral and dynamical localization near the spectrum's lower edge under general conditions.

## Contribution

It establishes localization results for multi-particle continuum models with correlated potentials, extending previous work to more general correlated randomness.

## Key findings

- Spectral localization near the lower spectral edge.
- Exponential decay of eigenfunctions.
- Strong dynamical localization proven.

## Abstract

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