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