23 citations · 30 across the 13 of their papers we have counts for
14 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…
Multi-particle localization at low energy for the multi-dimensional continuous Anderson model
Trésor Ekanga
We study the multi-particle Anderson model in the continuum and show that under some mild assumptions on the random external potential and the inter-particle interaction, for any f…
Wegner bounds for one-dimensional multi-particle Bernoulli-Anderson models in the continuum
Trésor Ekanga
We prove the Wegner bounds for the one-dimensional interacting multi-particle Anderson models in the continuum. The results apply to singular probability distribution functions suc…
Wegner bounds for N-body interacting Bernoulli-Anderson models in one dimension
Trésor Ekanga
Under the weak interaction regime, we prove the one and the two volumes Wegner type bounds for one dimensional multi-particle models on the lattice and for very singular probabilit…
Anderson localization for weakly interacting multi-particle models in the continuum
Trésor Ekanga
For the weakly interacting one-dimensional multi-particle Anderson model in the continuum space of configurations, we prove the spectral exponential and the strong dynamical locali…
Lifshitz tails for the multi-particle continuous Anderson model
Trésor Ekanga
We consider the multi-particle Anderson model in the continuum and show that under some mild assumptions on the inter-particle interaction and the external potential, its lower spe…
Multi-particle localization for weakly interacting Anderson tight-binding models
Trésor Ekanga
We establish the complete spectral exponential, and the strong Hilbert-Schmidt dynamical localization for the one-dimensional multi-particle Anderson tight-binding model and for we…
On two-particle Anderson localization at low energies
Trésor Ekanga
We prove exponential spectral localization in a two-particle lattice Anderson model, with a short-range interaction and external random i.i.d. potential, at sufficiently low energi…
Localization at low energies in the multi-particle tight-binding model
Trésor Ekanga
We consider the multi-particle Anderson tight-binding model and prove that its lower spectral edge is non-random under some mild assumptions on the inter-particle interaction and t…