45 citations · 215 across the 31 of their papers we have counts for
32 papers
Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale
Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer +3
We report on molecular dynamics simulations of spacetime correlations of the Toda lattice in thermal equilibrium. The correlations of stretch, momentum, and energy are computed num…
Openness of Regular Regimes of Complex Random Matrix Models
Marco Bertola, Pavel Bleher, Roozbeh Gharakhloo +2
Consider the general complex polynomial external field Fix an equi…
Phase Diagram and Topological Expansion in the Complex Quartic Random Matrix Model
Pavel Bleher, Roozbeh Gharakhloo, Kenneth T-R McLaughlin
We use the Riemann-Hilbert approach, together with string and Toda equations, to study the topological expansion in the quartic random matrix model. The coefficients of the topolog…
Correlation Functions for a Chain of Short Range Oscillators
Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer +1
We consider a system of harmonic oscillators with short range interactions and we study their correlation functions when the initial data is sampled with respect to the Gibbs measu…
High precision numerical approach for the Davey-Stewartson II equation for Schwartz class initial data
C. Klein, K. McLaughlin, N. Stoilov
We present an efficient high-precision numerical approach for the Davey-Stewartson (DS) II equation, treating initial data from the Schwartz class of smooth, rapidly decreasing fun…
A Riemann--Hilbert Problem Approach to Periodic Infinite Gap Hill's Operators and the Korteweg--de Vries Equation
Kenneth T-R. McLaughlin, Patrik V. Nabelek
We formulate the inverse spectral theory of infinite gap Hill's operators with bounded periodic potential as a Riemann--Hilbert problem on a typically infinite collection of spectr…