14 citations · 38 across the 11 of their papers we have counts for
15 papers
An eigensystem approach to Anderson localization for multi-particle systems
Bjoern Bringmann, Dana Mendelson
This paper revisits the proof of Anderson localization for multi-particle systems. We introduce a multi-particle version of the eigensystem multi-scale analysis by Elgart and Klein…
Construction of log-log blowup solutions for the mass critical nonlinear Schrödinger equation
Chenjie Fan, Dana Mendelson
In this article, we study the log-log blowup dynamics for the mass critical nonlinear Schrödinger equation on under rough but structured random perturbations at $L…
Non-Uniqueness of Bubbling for Wave Maps
Max Engelstein, Dana Mendelson
We consider wave maps from to a -smooth Riemannian manifold, . Such maps can exhibit energy concentration, and at points of concentration, i…
Poisson Commuting Energies for a System of Infinitely Many Bosons
Dana Mendelson, Andrea R. Nahmod, Nataša Pavlović +2
We consider the cubic Gross-Pitaevskii (GP) hierarchy in one spatial dimension. We establish the existence of an infinite sequence of observables such that the corresponding trace…
A Rigorous Derivation of the Hamiltonian Structure for the Nonlinear Schrödinger Equation
Dana Mendelson, Andrea R. Nahmod, Nataša Pavlović +2
We consider the cubic nonlinear Schrödinger equation (NLS) in any spatial dimension, which is a well-known example of an infinite-dimensional Hamiltonian system. Inspired by the kn…
The focusing energy-critical nonlinear wave equation with random initial data
Carlos Kenig, Dana Mendelson
We consider the focusing energy-critical quintic nonlinear wave equation in three dimensional Euclidean space. It is known that this equation admits a one-parameter family of radia…