10 citations · 47 across the 16 of their papers we have counts for
16 papers
Boundary current fluctuations for the half space ASEP and six vertex model
Jimmy He
We study fluctuations of the current at the boundary for the half space asymmetric simple exclusion process (ASEP) and the height function of the half space six vertex model at the…
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…
Universality for low degree factors of random polynomials over finite fields
Jimmy He, Huy Tuan Pham, Max Wenqiang Xu
We show that the counts of low degree irreducible factors of a random polynomial over with independent but non-uniform coefficients behave like that of a uniform…
Cycles in Mallows random permutations
Jimmy He, Tobias Müller, Teun Verstraaten
We study cycle counts in permutations of drawn at random according to the Mallows distribution. Under this distribution, each permutation is selected with pr…
A central limit theorem for cycles of Mallows permutations
Jimmy He
Fix , and sample from the Mallows measure. We study the distribution of , the number of -cycles, as grows large. When , they are jointly Gau…
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 through , possibly with repeats. A guesser guesses the top card, after which it is revealed and…
Mixing time of fractional random walk on finite fields
Jimmy He, Huy Tuan Pham, Max Wenqiang Xu
We study a random walk on defined by if , and if , where are inde…
Markov chains on finite fields with deterministic jumps
Jimmy He
We study the Markov chain on obtained by applying a function and adding with equal probability. When is a linear function, this is the well-studied Ch…
The square and add Markov chain
Persi Diaconis, Jimmy He, I. Martin Isaacs
Squaring and adding mod p generates a curiously intractable random walk. A similar process over the finite field (with ) leads to novel connections be…
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 , and its inverse, distributed according to the Mallows measure. The Mallows measure is a n…
Random walk on the symplectic forms over a finite field
Jimmy He
Random transvections generate a walk on the space of symplectic forms on . The main result is establishing cutoff for this Markov chain. After steps, the w…
A characteristic map for the symmetric space of symplectic forms over a finite field
Jimmy He
The characteristic map for the symmetric group is an isomorphism relating the representation theory of the symmetric group to symmetric functions. An analogous isomorphism is const…
A power series identity and Bessel-type integrals over unitary groups
Jimmy He
In 2008, Lehner, Wettig, Guhr and Wei conjectured a power series identity and showed that it implied a determinantal formula for a Bessel-type integral over the unitary supergroup.…
An abstract proof of the L2-singular dichotomy for orbital measures on Lie algebras and groups
Kathryn Hare, Jimmy He
Let be a compact, connected simple Lie group and its Lie algebra. It is known that if is any -invariant measure supported on an adjoint orbit in $\mathfra…
The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces
Kathryn Hare, Jimmy He
Let be a non-compact group, the compact subgroup fixed by a Cartan involution and assume is an exceptional, symmetric space, one of Cartan type or . We find…
Smoothness of convolution products of orbital measures on rank one compact symmetric spaces
Kathryn Hare, Jimmy He
We prove that all convolution products of pairs of continuous orbital measures in rank one, compact symmetric spaces are absolutely continuous and determine which convolution produ…