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 2021Show all

3 papers · 1 filter

math.PR2021★ 1 cited

A central limit theorem for cycles of Mallows permutations

Jimmy He

Fix $q \neq = 1$ , and sample $w \in S_{n}$ from the Mallows measure. We study the distribution of $C_{i} (w)$ , the number of $i$ -cycles, as $n$ grows large. When $q < 1$ , they are jointly Gau…

math.PR2021★ 4 cited

Card guessing and the birthday problem for sampling without replacement

Jimmy He, Andrea Ottolini

Consider a uniformly random deck consisting of cards labelled by numbers from $1$ through $n$ , possibly with repeats. A guesser guesses the top card, after which it is revealed and…

math.PR2021★ 4 cited

Mixing time of fractional random walk on finite fields

Jimmy He, Huy Tuan Pham, Max Wenqiang Xu

We study a random walk on $F_{p}$ defined by $X_{n + 1} = 1/ X_{n} + ε_{n + 1}$ if $X_{n} \neq = 0$ , and $X_{n + 1} = ε_{n + 1}$ if $X_{n} = 0$ , where $ε_{n + 1}$ are inde…