3 papers
math-ph2016
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…
math-ph2016
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…
math-ph2016
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…