22 citations · 202 across the 36 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.AP2018★ 2 cited
Large time behavior, bi-Hamiltonian structure and kinetic formulation for complex Burgers equation
Yu Gao, Yuan Gao, Jian-Guo Liu
We prove the existence and uniqueness of positive analytical solutions with positive initial data to the mean field equation (the Dyson equation) of the Dyson Brownian motion throu…
math.OC2018
Variational Properties of Matrix Functions via the Generalized Matrix-Fractional Function
James V. Burke, Yuan Gao, Tim Hoheisel
We show that many important convex matrix functions can be represented as the partial infimal projection of the generalized matrix fractional (GMF) and a relatively simple convex f…
math.PR2018★ 1 cited
Limiting Behaviors of High Dimensional Stochastic Spin Ensembles
Yuan Gao, Kay Kirkpatrick, Jeremy Marzuola +2
Lattice spin models in statistical physics are used to understand magnetism. Their Hamiltonians are a discrete form of a version of a Dirichlet energy, signifying a relationship to…