Kuan, Jeffrey Assistant Professor

academic article

• Kuan, J. (2022). Two Dualities: Markov and Schur-Weyl. International mathematics research notices.  2022(13), 9633-9662.
  
• Kuan, J., & Zhou, Z. (2022). Three-dimensional Gaussian fluctuations of spectra of overlapping stochastic Wishart matrices. Random Matrices: Theory and Applications.  12(01), 2250048.
  
• Kuan, J. (2021). Algebraic Symmetry and Self-Duality of an Open ASEP. Mathematical Physics, Analysis and Geometry.  24(2), 12.
  
• Kuan, J. (2021). A short note on Markov duality in multi-species higher spin stochastic vertex models. Electronic Communications in Probability.  26(none),
  
• Cerenzia, M., & Kuan, J. (2020). Hard-edge asymptotics of the Jacobi growth process. L'Institut Henri Poincare, Annales B: Probabilites et Statistiques.  56(4), 2329-2355.
  
• Kuan, J. (2020). Determinantal Expressions in Multi-Species TASEP. Symmetry, Integrability and Geometry: Methods and Applications.  16.
  
• Kuan, J. (2018). A Multi-species ASEP $\boldsymbol{(q,,j)}$ and $\boldsymbol{q}$-TAZRP with Stochastic Duality. 2018(17), 5378-5416.
  
• Kuan, J. (2018). Two Constructions of Markov Chains on the Dual of U(n). Journal of Theoretical Probability.  31(3), 1411-1428.
  
• Kuan, J. (2018). An Algebraic Construction of Duality Functions for the Stochastic Uq(An(1)) Vertex Model and Its Degenerations. Communications in Mathematical Physics.  359(1), 121-187.
  
• Kuan, J. (2016). Three-dimensional Gaussian fluctuations of non-commutative random surfaces along time-like paths. Advances in Mathematics.  303, 716-744.
  
• Kuan, J. (2016). Stochastic duality of ASEP with two particle types via symmetry of quantum groups of rank two. Journal of Physics A: Mathematical and Theoretical.  49(11), 115002-115002.
  
• Kuan, J. (2016). An interacting particle system with geometric jump rates near a partially reflecting boundary. Electronic Communications in Probability.  21(none),
  
• Bourgade, P., & Kuan, J. (2014). Strong Szeg Asymptotics and Zeros of the ZetaFunction. Communications on Pure and Applied Mathematics.  67(6), 1028-1044.
  
• Kuan, J. (2014). The Gaussian free field in interlacing particle systems. Electronic Journal of Probability.  19(none),
  
• Kuan, J. (2013). Asymptotics of a Discrete-Time Particle System Near a Reflecting Boundary. Journal of Statistical Physics.  150(2), 398-411.
  
• Borodin, A., & Kuan, J. (2010). Random surface growth with a wall and Plancherel measures for O (). Communications on Pure and Applied Mathematics.  63(7), 831-894.
  
• Borodin, A., & Kuan, J. (2008). Asymptotics of Plancherel measures for the infinite-dimensional unitary group. Advances in Mathematics.  219(3), 894-931.