Jimmy He

activity

20152023

most citedBoundary current fluctuations for the half space ASEP and six vertex model

10 citations · 47 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.PR2020★ 6 cited

Markov chains on finite fields with deterministic jumps

Jimmy He

We study the Markov chain on $F_{p}$ obtained by applying a function $f$ and adding $\pm γ$ with equal probability. When $f$ is a linear function, this is the well-studied Ch…

math.PR2020★ 2 cited

The square and add Markov chain

Persi Diaconis, Jimmy He, I. Martin Isaacs

Squaring and adding $\pm 1$ mod p generates a curiously intractable random walk. A similar process over the finite field $F_{q}$ (with $q = 2^{d}$ ) leads to novel connections be…

math.PR2020★ 10 cited

A central limit theorem for descents of a Mallows permutation and its inverse

Jimmy He

This paper studies the asymptotic distribution of descents $\des(w)$ in a permutation $w$ , and its inverse, distributed according to the Mallows measure. The Mallows measure is a n…