17 citations · 84 across the 16 of their papers we have counts for
17 papers
Repeated averaging on expanders I: random -regular graph
Dong Yao, Lingfu Zhang
Repeated averaging on graphs is a natural prototype of local stochastic exchange, modeling consensus formation, information spreading, and wealth redistribution. Its convergence ha…
Pearcey universality at cusps of polygonal lozenge tiling
Jiaoyang Huang, Fan Yang, Lingfu Zhang
We study uniformly random lozenge tilings of general simply connected polygons. Under a technical assumption that is presumably generic with respect to polygon shapes, we show that…
Discrete geodesic local time converges under KPZ scaling
Shirshendu Ganguly, Lingfu Zhang
The directed landscape constructed in (Dauvergne-Ortmann-Virag '18) produces a directed, planar, random geometry, and is believed to be the universal scaling limit of two-dimension…
Cutoff profile of the Metropolis biased card shuffling
Lingfu Zhang
We consider the Metropolis biased card shuffling (also called the multi-species ASEP on a finite interval or the random Metropolis scan). Its convergence to stationary was believed…
Fractal geometry of the space-time difference profile in the directed landscape via construction of geodesic local times
Shirshendu Ganguly, Lingfu Zhang
The Directed Landscape, a random directed metric on the plane (where the first and the second coordinates are termed spatial and temporal respectively), was constructed in the brea…
Infinite order phase transition in the slow bond TASEP
Sourav Sarkar, Allan Sly, Lingfu Zhang
In the slow bond problem the rate of a single edge in the Totally Asymmetric Simple Exclusion Process (TASEP) is reduced from 1 to for some small . J…
Shift-Invariance of the Colored TASEP and Finishing Times of the Oriented Swap Process
Lingfu Zhang
We prove a new shift-invariance property of the colored TASEP. From the shift-invariance of the colored stochastic six-vertex model (proved in Borodin-Gorin-Wheeler or Galashin), o…
Convergence of the Environment Seen from Geodesics in Exponential Last-Passage Percolation
James B. Martin, Allan Sly, Lingfu Zhang
A well-known question in planar first-passage percolation concerns the convergence of the empirical distribution of weights as seen along geodesics. We demonstrate this convergence…
Mean Field Behavior during the Big Bang Regime for Coalescing Random Walks
Jonathan Hermon, Shuangping Li, Dong Yao +1
In this paper we consider coalescing random walks on a general connected graph . We set up a unified framework to study the leading order of the decay rate of , the e…
Disjoint optimizers and the directed landscape
Duncan Dauvergne, Lingfu Zhang
We study maximal length collections of disjoint paths, or 'disjoint optimizers', in the directed landscape. We show that disjoint optimizers always exist, and that their lengths ca…
Ising model on trees and factors of IID
Danny Nam, Allan Sly, Lingfu Zhang
We study the ferromagnetic Ising model on the infinite -regular tree under the free boundary condition. This model is known to be a factor of IID in the uniqueness regime, when…
Optimal Exponent for Coalescence of Finite Geodesics in Exponential Last Passage Percolation
Lingfu Zhang
In this note, we study the model of directed last passage percolation on , with i.i.d. exponential weight. We consider the maximum paths from vertices $\left(0,\lfloo…
Temporal Correlation in Last Passage Percolation with Flat Initial Condition via Brownian Comparison
Riddhipratim Basu, Shirshendu Ganguly, Lingfu Zhang
We consider directed last passage percolation on with exponential passage times on the vertices. A topic of great interest is the coupling structure of the weights o…
Stationary Distributions for the Voter Model in are Factors of IID
Allan Sly, Lingfu Zhang
For the Voter Model on , , we show that the (extremal) stationary distributions are isomorphic to Bernoulli shifts, and answer an open question asked by Stei…
Anderson-Bernoulli Localization on the 3D lattice and discrete unique continuation principle
Linjun Li, Lingfu Zhang
We consider the Anderson model with Bernoulli potential on the 3D lattice, and prove localization of eigenfunctions corresponding to eigenvalues near zero, the lower boundary of th…
Refinements of the 2-dimensional Strichartz estimate on the maximum wave packet
Hong Wang, Lingfu Zhang
The Strichartz estimates for Schrödinger equations can be improved when the data is spread out in either physical or frequency space. In this paper we give refinements of the 2-dim…
Interlacing adjacent levels of --Jacobi corners processes
Vadim Gorin, Lingfu Zhang
We study the asymptotics of the global fluctuations for the difference between two adjacent levels in the --Jacobi corners process (multilevel and general extension of the c…