17 citations · 84 across the 16 of their papers we have counts for
4 papers · 1 filter
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…