2 papers
math.PR2026
Non-Abelian Hirota-Miwa Equations for the KPZ Universality Class
C. Alexander Rodriguez
This work introduces an algebraic framework yielding explicit, closed matrix differential-difference equations for eighteen models in the exactly solvable sector of the KPZ univers…
math.PR2025
Bilinear Differential-Difference Equations and One-Point Distributions of Some KPZ-Class Models
C. Alexander Rodriguez
We introduce a collection of nonlinear integrable partial differential-difference equations that are satisfied by the one-point distribution functions of some classical integrable…