5 citations · 11 across the 7 of their papers we have counts for
7 papers
Condensation, boundary conditions, and effects of slow sites in zero-range systems
Sunder Sethuraman, Jianfei Xue
We consider the space-time scaling limit of the particle mass in zero-range particle systems on a D discrete torus with a finite number of defects. We f…
Limit shapes for Gibbs partitions of sets
Ibrahim Fatkullin, Jianfei Xue
This study extends a prior investigation of limit shapes for partitions of integers, which was based on analysis of sums of geometric random variables. Here we compute limit shapes…
On hydrodynamic limits in Sinai-type random environments
Claudio Landim, Carlos G. Pacheco, Sunder Sethuraman +1
We investigate the hydrodynamical behavior of a system of random walks with zero-range interactions moving in a common `Sinai-type' random environment on a one dimensional torus. T…
On Entropy Minimization and Convergence
Stamatis Dostoglou, Alexander Hughes, Jianfei Xue
We examine the minimization of information entropy for measures on the phase space of bounded domains, subject to constraints that are averages of grand canonical distributions. We…
On Hydrodynamic Limits of Young Diagrams
Ibrahim Fatkullin, Sunder Sethuraman, Jianfei Xue
We consider a family of stochastic models of evolving two-dimensional Young diagrams, given in terms of certain energies, with Gibbs invariant measures. `Static' scaling limits of…
Macroscopic Non-uniqueness and Limits of Hamiltonian Dynamics
Stamatis Dostoglou, Jianfei Xue
We construct explicit examples of spontaneous energy generation and non-uniqueness for the compressible Euler system, with and without pressure, by taking limits of Hamiltonian dyn…
On Hydrodynamic Equations at the Limit of Infinitely Many Molecules
Stamatis Dostoglou, Nicholas Jacob, Jianfei Xue
We show that weak convergence of point measures and -moment conditions imply hydrodynamic equations at the limit of infinitely many interacting molecules. The conditions are…