2 citations · 3 across the 7 of their papers we have counts for
7 papers
Localization for one-dimensional two-particle random Schrödinger operators with Poisson potential
Trésor Ekanga
We prove the complete spectral and the strong dynamical Anderson localization in a two-particle random Schrödinger operators with the Poisson potential. The results apply with suff…
Conditional distribution of the sample mean and localization
Trésor Ekanga
We prove a new hypothesis on the conditional distribution of the sample mean of the fluctuations of an i.i.d. random potential in the Anderson model. The paper extends to uniform p…
Resonances and multi-particle localization at low energy
Trésor Ekanga
We use a new eigenvalue concentration bound for the fluctuation of the sample mean of the random extternal potential in the multi-particle Anderson model and prove the spectral exp…
On complete localization for the one-dimensional multi-particle Anderson-Bernoulli model with infinite range interaction
Trésor Ekanga
We consider the multi-particle Anderson model on the lattice with infinite range but sub-exponentially decaying interaction and show the Anderson localization consisting of the spe…
Localization for -particle continuous models with strongly mixing correlated random potentials
Trésor Ekanga
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 e…
N-body localization for the Anderson model with strongly mixing correlated random potentials
Trésor Ekanga
This work establishes the Anderson localization in both the spectral exponential and the strong dynamical localization for the multi-particle Anderson tight-binding model with corr…