Publications
Books
-
Random matrices and the six-vertex model , with P. Bleher. CRM monograph series, vol. 32. Amer. Math. Soc., 2014.
errata sheet.
Papers:
-
Bordered and Framed Toeplitz and Hankel Determinants with Applications to Integrable Probability , with R. Gharakhloo, In Recent Developments in Orthogonal Polynomials, Contemporary Mathematics, 822, American Mathematical Society, 2025.
-
Boundary statistics for the six-vertex model with DWBC, with V. Gorin, To appear in Communications on Pure and Applied Mathematics. doi.org/10.1002/cpa.22254
-
Monotone subsets in lattices and the Schensted shape of a Sós
permutation, with T. Kyle Petersen, Combinatorial Theory 2(2) (2022) Paper #9 (41pp).
-
Airy process with wanderers, KPZ fluctuations, and a deformation of the Tracy--Widom GOE distribution, with G. B. Nguyen and D. Remenik, Annales de l'Institut Henri Poincaré Probabilités et Statistiques, 58(4) (2022) 2250–2283.
-
The Fourier extension method and discrete orthogonal polynomials on an arc of the circle, with J.S. Geronimo, Advances in Mathematics 365 (2020) 107064 (57pp).
-
Asymptotics of free fermions in a quadratic well at finite temperature and the Moshe-Neuberger-Shapiro random matrix model, with D. Wang, Annales de l’Institut Henri Poincaré - Probabilités et Statistiques 56 (2020) 1072–1098.
-
The k-tacnode process, with R. Buckingham, Probability Theory and Related Fields 175 (2019) 341–395. https://doi.org/10.1007/s00440-018-0885-2
-
Nonintersecting Brownian bridges on the unit circle with drift, with R. Buckingham, Journal of Functional Analysis 276 (2019) 1717-1772. https://doi.org/10.1016/j.jfa.2018.05.021
-
Propagation of singular behavior for Gaussian perturbations of random
matrices, with T. Claeys, A.B.J. Kuijlaars, and D. Wang, Communications in Mathematical Physics 362 (2018) 1–54.
-
Domain wall six-vertex model with half-turn symmetry, with P. Bleher, Const. Approx., 47 (2018) 141–162. https://doi.org/10.1007/s00365-017-9405-3
-
Nonintersecting Brownian bridges between reflecting or absorbing walls, with D. Wang, Advances in Mathematics 309 (2017) 155–208.
-
Two Lax systems for the Painlevé II equation, and two related kernels in random matrix theory, with D. Wang, SIAM J. Math. Anal. 48(5) (2016) 3618–3666.
-
Nonintersecting Brownian motions on the unit circle, with D. Wang, Annals of Probability 44(2) (2016) 1134-1211.
-
Nonintersecting Brownian motions on the unit circle: noncritical cases, with D. Wang. This paper will not be published. It is a version of the paper above which include the proofs of bulk and edge universalities, but not the tacnode kernel.
-
Six-vertex model with partial domain wall boundary conditions: ferroelectric phase, with P. Bleher, J. Math. Phys. 56 (2015) 023302.
-
Riemann-Hilbert approach to the six-vertex model,
with P. Bleher, in Random Matrix Theory, Interacting Particle Systems and Integrable Systems, P. Deift and P. Forrester, eds. Vol. 65 of MSRI Publication series, Cambridge University Press, Dec. 2014, 39--56.
-
Tail decay for the distribution of the endpoint of a directed polymer,
with T. Bothner, Nonlinearity 26(5) (2013) 1449.
-
On the joint distribution of the maximum and its position of the Airy2 process minus a parabola,
with J. Baik and G. Schehr, J. Math. Phys. 53 (2012) 083303.
-
Nonintersecting Brownian motions on the half-line and discrete Gaussian orthogonal polynomials,
J. Stat. Phys. 147(3) (2012) 582.
-
Uniform asymptotics for discrete orthogonal polynomials with respect to varying exponential weights on a regular infinite lattice,
with P.M. Bleher, Int. Math. Res. Not. 2011(2) (2011) 342.
-
Exact solution of the six-vertex model with domain wall boundary condition. Antiferroelectric phase, with P.M. Bleher, Comm. Pure Appl. Math. 63 (2010) 779.
-
Exact solution of the six-vertex model with domain wall boundary condition. Critical line between ferroelectric and disordered phases, with P.M. Bleher, J. Stat. Phys. 134 (2009) 463.
-
Exact solution of the six-vertex model with domain wall boundary conditions. Ferroelectric phase, with P.M. Bleher, Comm. Math. Phys. 286 (2009) 777.