81 citations · 673 across the 80 of their papers we have counts for
9 papers · 1 filter
When multiplicative noise stymies control
Jian Ding, Yuval Peres, Gireeja Ranade +1
We consider the stabilization of an unstable discrete-time linear system that is observed over a channel corrupted by continuous multiplicative noise. Our main result shows that if…
Three favorite sites occurs infinitely often for one-dimensional simple random walk
Jian Ding, Jianfei Shen
For a one-dimensional simple random walk , for each time we say a site is a favorite site if it has the maximal local time. In this paper, we show that with probabil…
Return probability and recurrence for the random walk driven by two-dimensional Gaussian free field
Marek Biskup, Jian Ding, Subhajit Goswami
Given any and for denoting a sample of the two-dimensional discrete Gaussian free field on pinned at the origin, we consider the…
Upper bounds on Liouville first passage percolation and Watabiki's prediction
Jian Ding, Subhajit Goswami
Given a planar continuum Gaussian free field in a domain with Dirichlet boundary condition and any , we let $\{h_δ^{\mathcal U}(v): v\in \mathcal…
Liouville first passage percolation: geodesic length exponent is strictly larger than 1 at high temperatures
Jian Ding, Fuxi Zhang
Let be a discrete Gaussian free field in a two-dimensional box of side length with Dirichlet boundary conditions. We study the Liouville first passag…
New quantum codes from dual-containing cyclic codes over finite rings
Yongsheng Tang, Shixin Zhu, Xiaoshan Kai +1
Let , where is a finite field with elements, is a positive integer, i…