Publications

Publications

[14] Kinetic energy distributions of atomic ions from disintegration of argon containing nanoclusters in moderately intense nanosecond laser fields: Coulomb explosion or hydrodynamic expansion

• Co-authors: Steven Tran, Kim C. Tran, Wei Kong

• link

• Physical Chemistry Chemical Physics, 2024

[13] Contour Integral Formulas for PushASEP on the Ring

• Co-author: Jhih-Hunag Li

• arXiv:2308.05372

• submitted

[12] Rewriting History in Integrable Stochastic Particle Systems

• Co-author: Leonid Petrov

• arXiv:2212.01643

• submitted

[11] Non-intersecting path constructions for TASEP with inhomogeneous rates and the KPZ fixed point

• Co-authors: Elia Bisi, Yuchen Liao, and Nikos Zygouras

• arXiv:2208.13580

• Communications in Mathematical Physics 402 (1), 285-333

[10] Domain Walls in the Heisenberg-Ising Spin-1/2 Chain

• Co-authors: Craig Tracy and Harold Widom

• arXiv:2202.07695

• Toeplitz Operators and Random Matrices: In Memory of Harold Widom 289 (2023).

[9] Mapping TASEP Back in Time , 

• • • • Co-author: Leo Petrov

      • arXiv:1907.09155 , 

      • Probability Theory and Related Fields (2021), 1--50.

• • We construct a new Markov process related to the Hammersley process and we show that it maps the distribution of the TASEP with step initial conditions back in time. 

[8] Integral formulas for ASEP and q-TAZRP on the ring , 

• • • • Co-authors: Zhipeng Liu and Dong Wang,

      • arXiv:1905.02987,

      •  Communications in Mathematical Physics (2020),1--65.

• • We introduce an exact formula for the transition probability for the ASEP and q-TAZRP on the ring based on the coordinate Bethe ansatz.

[7] The KPZ universality class and related topics 

• • • •  arXiv:1904.03319,

      • Analytic Trends in Mathematical Physics 741 (2020), 133.

• • Review article based on a talk given at the 2018 Arizona School of Analysis and Mathematical Physics.

[6] Limiting speed of a second class particle in ASEP 

• • • • Co-authors: Promit Ghosal and Ethan C. Zell 

      • arXiv:1903.09615 

      • submitted

• • We consider the ASEP with step initial conditions so that it starts with a block of second class particle and we compute the distribution for the left-most second class particle. 

[5] Generalizations of TASEP in discrete and continuous inhomogeneous space 

• • • • Co-authors: Aliza Knizel and Leo Petrov,

      • arXiv:1808.09855,

      • Communications in Mathematical Physics (2018), 1--68.

• • We introduce a new class of space inhomogeneous corner-growth models. We compute the asymptotics for the one-point function near traffic jams.

[4] Painleve Equations, Topological Type Property and Reconstruction by the Topological Recursion,  

• • • • Co-authors: Kohei Iwaki and Olivier Marchal,

      • Journal of Geometry and Physics 124 (2018), 16–54

• • We take an hbar-deformation of the six painleve function and compute the formal hbar-asymptotics for a related partition function via the Eynard-Orantin topological recursion.

[3] The Completeness of the Bethe Ansatz for the Periodic ASEP, 

• • • • Co-authors: Eric Brattain and Norman Do,

      • arXiv:1511.03762v1,

      • submitted.

• • We show that the Markov generator for the ASEP on the ring is diagonalizable by the Bethe ansatz for generic parameters.

[2] Quantum Curve and the First Painleve Equation, 

• • • • Co-author: Kohei Iwaki,

      •  SIGMA 12 (2016), 011, 24 pages.

• • We take an hbar-deformation for the first Painleve function with an associated Lax pair and partition function and show that the partition function is annihilated by a differential operator whose semi-classical limit corresponds to the spectral curve of the Lax pair.

[1] My Dissertation: Integrability and tau-functions on Random Walkers & Isomonodromy Deformation Systems (June 2016)

• • Review of different type of integrable systems highlighting certain connections with probability.