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19982026
most citedProducts and Ratios of Characteristic Polynomials of Random Hermitian Matrices

112 citations · 944 across the 52 of their papers we have counts for

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math.PR2026

One-point fluctuations for exponential last passage percolation under upper-tail conditioning

Jinho Baik, Tejaswi Tripathi

We study exponential directed last passage percolation conditioned on the last passage time to a specified macroscopic point being atypically large. We determine the one-point fluc…

math.PR2024

Pinched-up periodic KPZ fixed point

Jinho Baik, Zhipeng Liu

The periodic KPZ fixed point is the conjectural universal limit of the KPZ universality class models on a ring when both the period and time critically tend to infinity. For the ca…

math.PR2022★ 8 cited

Differential equations for the KPZ and periodic KPZ fixed points

Jinho Baik, Andrei Prokhorov, Guilherme L. F. Silva

The KPZ fixed point is a 2d random field, conjectured to be the universal limiting fluctuation field for the height function of models in the KPZ universality class. Similarly, the…

math.PR2022★ 4 cited

KPZ limit theorems

Jinho Baik

One-dimensional interacting particle systems, 1+1 random growth models, and two-dimensional directed polymers define 2d height fields. The KPZ universality conjecture posits that a…

math.PR2020

Limiting one-point distribution of periodic TASEP

Jinho Baik, Zhipeng Liu, Guilherme L. F. Silva

The relaxation time limit of the one-point distribution of the spatially periodic totally asymmetric simple exclusion process is expected to be the universal one point distribution…

math.PR2019★ 5 cited

Periodic TASEP with general initial conditions

Jinho Baik, Zhipeng Liu

We consider the one-dimensional totally asymmetric simple exclusion process with an arbitrary initial condition in a spatially periodic domain, and obtain explicit formulas for the…