Jimmy He

activity

20182022

most citedMixing time of fractional random walk on finite fields

4 citations · 7 across the 2 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.PR2022★ 3 cited

Shift invariance of half space integrable models

Jimmy He

We formulate and establish symmetries of certain integrable half space models, analogous to recent results on symmetries for models in a full space. Our starting point is the color…

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…

math.PR2019

Random walk on the symplectic forms over a finite field

Jimmy He

Random transvections generate a walk on the space of symplectic forms on $F_{q}^{2 n}$ . The main result is establishing cutoff for this Markov chain. After $n + c$ steps, the w…