Jimmy He

Papers

My papers can also be found on the arXiv, Google Scholar and MathSciNet.

• Periodic q-Whittaker and Hall-Littlewood processes. [arXiv]
      with Michael Wheeler, Preprint.
• Limit profile for the ASEP with one open boundary. [arXiv]
      with Dominik Schmid, Submitted.
• Boundary current fluctuations for the half space ASEP and six vertex model. [arXiv, code]
      Accepted at Proceedings of the London Mathematical Society.
• Cycles in Mallows random permutations. [arXiv, journal]
      with Tobias Müller and Teun Verstraaten, Random Structures and Algorithms (2023).
• Shift invariance of half space integrable models. [arXiv]
      Submitted.
• Universality for low degree factors of random polynomials over finite fields. [arXiv, journal]
      with Huy Tuan Pham and Max Wenqiang Xu, International Mathematics Research Notices (2023).
• A central limit theorem for cycles of Mallows permutations. [arXiv]
      Note: this has been merged into this paper, although the proof in this version is slightly different.
• Card guessing and the birthday problem for sampling without replacement. [arXiv, journal]
      with Andrea Ottolini, Annals of Applied Probability (2023).
• Mixing time of fractional random walk on finite fields. [arXiv, journal]
      with Huy Tuan Pham and Max Wenqiang Xu, Electronic Journal of Probability (2022).
• Markov chains on finite fields with deterministic jumps. [arXiv, journal]
      Electronic Journal of Probability (2022).
• The-square-and-add Markov chain. [arXiv, journal]
      with Persi Diaconis and I. Martin Isaacs, The Mathematical Intelligencer (2021).
• A central limit theorem for descents of a Mallows permutation and its inverse. [arXiv, journal]
      Annales de l'Institut Henri Poincaré Probabilités et Statistiques (2022).
• Random walk on the symplectic forms over a finite field. [arXiv, journal]
      Algebraic Combinatorics (2020).
• A characteristic map for the symmetric space of symplectic forms over a finite field. [arXiv, journal, poster]
      International Mathematics Research Notices (2022).
• A power series identity and Bessel-type integrals over unitary groups. [arXiv, journal]
      Journal of Mathematical Physics (2019).
• A geometric proof of the L²-singular dichotomy for orbital measure on Lie algebras and groups. [arXiv, journal]
      with Kathryn Hare, Bollettino dell'Unione Matematica Italiana (2018).
• The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces. [arXiv, journal]
      with Kathryn Hare, Monatshefte für Mathematik (2017).
• Smoothness of convolution products of orbital measures on rank one compact symmetric spaces. [arXiv, journal]
      with Kathryn Hare, Bulletin of the Australian Mathematical Society (2016).