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9 papers · 2 filters
Universality for orthogonal and symplectic Laguerre-type ensembles
Percy Deift, Dimitri Gioev, Thomas Kriecherbauer +1
We give a proof of the Universality Conjecture for orthogonal (beta=1) and symplectic (beta=4) random matrix ensembles of Laguerre-type in the bulk of the spectrum as well as at th…
On the proof of universality for orthogonal and symplectic ensembles in random matrix theory
Ovidiu Costin, Percy Deift, Dimitri Gioev
We give a streamlined proof of a quantitative version of a result from [DG1] which is crucial for the proof of universality in the bulk [DG1] and also at the edge [DG2] for orthogo…
Anomalous Dissipation in a Stochastically Forced Infinite-Dimensional System of Coupled Oscillators
Jonathan C. Mattingly, Toufic M. Suidan, Eric Vanden-Eijnden
We study a system of stochastically forced infinite-dimensional coupled harmonic oscillators. Although this system formally conserves energy and is not explicitly dissipative, we s…
Ionization in a 1-Dimensional Dipole Model
O. Costin, J. L. Lebowitz, C. Stucchio
We study the evolution of a one dimensional model atom with -function binding potential, subjected to a dipole radiation field with a -periodic real-valued…
Transition to Chaos in Discrete Nonlinear Schrodinger Equation with Long-Range Interaction
Nickolay Korabel, George M. Zaslavsky
Discrete nonlinear Schrodinger equation (DNLS) describes a chain of oscillators with nearest neighbor interactions and a specific nonlinear term. We consider its modification with…
Simple Systems with Anomalous Dissipation and Energy Cascade
Jonathan C. Mattingly, Toufic Suidan, Eric Vanden-Eijnden
We analyze a class of linear shell models subject to stochastic forcing in finitely many degrees of freedom. The unforced systems considered formally conserve energy. Despite being…