729 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- New York UniversityUS191 papers
- East China Normal UniversityCN122 papers
- Courant Institute of Mathematical SciencesUS55 papers
- National Institute of InformaticsJP49 papers
- Louisiana State UniversityUS32 papers
- University of Science and Technology of ChinaCN32 papers
- Shanxi UniversityCN24 papers
- Chinese Academy of SciencesCN17 papers
- National Institute of Information and Communications TechnologyJP17 papers
- Ben-Gurion University of the NegevIL16 papers
- Centre National de la Recherche ScientifiqueFR16 papers
- Alibaba Group (China)CN11 papers
16 papers · 2 filters
Invariance principles for random walks in random environment on trees
George Andriopoulos
In arXiv:1609.05666v1 [math.PR] a functional limit theorem was proved. It states that symmetric processes associated with resistance metric measure spaces converge when the underly…
Three-speed ballistic annihilation: phase transition and universality
John Haslegrave, Vladas Sidoravicius, Laurent Tournier
We consider ballistic annihilation, a model for chemical reactions first introduced in the 1980's physics literature. In this particle system, initial locations are given by a rene…
Convergence of blanket times for sequences of random walks on critical random graphs
George Andriopoulos
Under the assumption that sequences of graphs equipped with resistances, associated measures, walks and local times converge in a suitable Gromov-Hausdorff topology, we establish a…
Sharp convergence of nonlinear functionals of a class of Gaussian random fields
Weijun Xu
We present a self-contained proof of a uniform bound on multi-point correlations of trigonometric functions of a class of Gaussian random fields. It corresponds to a special case o…
Nonhomogeneous Euclidean first-passage percolation and distance learning
Pablo Groisman, Matthieu Jonckheere, Facundo Sapienza
Consider an i.i.d. sample from an unknown density function supported on an unknown manifold embedded in a high dimensional Euclidean space. We tackle the problem of learning a dist…
Sensitivity of the frog model to initial conditions
Tobias Johnson, Leonardo T. Rolla
The frog model is an interacting particle system on a graph. Active particles perform independent simple random walks, while sleeping particles remain inert until visited by an act…
The ballistic annihilation threshold is 1/4
Vladas Sidoravicius, Laurent Tournier
We consider a system of annihilating particles where particles start from the points of a Poisson process on the line, move at constant i.i.d. speeds symmetrically distributed in {…
Random tree recursions: which fixed points correspond to tangible sets of trees?
Tobias Johnson, Moumanti Podder, Fiona Skerman
Let be the set of rooted trees containing an infinite binary subtree starting at the root. This set satisfies the metaproperty that a tree belongs to it if and only i…
Bounding flows for spherical spin glass dynamics
Gerard Ben Arous, Reza Gheissari, Aukosh Jagannath
We introduce a new approach to studying spherical spin glass dynamics based on differential inequalities for one-time observables. Using this approach, we obtain an approximate pha…
Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder
Christophe Bahadoran, T. Mountford, K. Ravishankar +1
We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the n…
A note on exponential decay in the random field Ising model
Federico Camia, Jianping Jiang, Charles M. Newman
For the two-dimensional random field Ising model (RFIM) with bimodal (i.e., two-valued) external field, we prove exponential decay of correlations either (1) when the temperature i…
Fine mesh limit of the VRJP in dimension one and Bass-Burdzy flow
Titus Lupu, Christophe Sabot, Pierre Tarrès
We introduce a continuous space limit of the Vertex Reinforced Jump Process (VRJP) in dimension one, which we call Linearly Reinforced Motion (LRM) on . It is constructed out o…
A Relation between Disorder Chaos and Incongruent States in Spin Glasses on
L. -P. Arguin, C. M. Newman, D. L. Stein
We derive lower bounds for the variance of the difference of energies between incongruent ground states, i.e., states with edge overlaps strictly less than one, of the Edwards-Ande…
Phase Transition for the Contact Process in a Random Environment on Zd*Z+
Qiang Yao
We review the results in Chen & Yao(2009,2012) which concern the contact process in a static random environment on the half space Z^d*Z^+ and make some addition to them. Furthermor…
Large-scale limit of interface fluctuation models
Martin Hairer, Weijun Xu
We extend the weak universality of KPZ in [Hairer-Quastel] to weakly asymmetric interface models with general growth mechanisms beyond polynomials. A key new ingredient is a pointw…
Hydrodynamics in a condensation regime: the disordered asymmetric zero-range process
Christophe Bahadoran, T. Mountford, K. Ravishankar +1
We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the n…