Orateur
Anastasiia Trofimova
Description
The large deviation functions of integrable stochastic processes --- ASEP, q-boson ZRP, asymmetric avalanche process, and their relatives --- are all governed by a single nonlinear integral equation with the same kernel. We explain why: the Uq(sl2) Lax operator fixes the kernel independently of the model, while model-specific data enters only through the quantum Wronskians $\phi^\pm$. The derivation passes through the TQ, TP, and PQ polynomial relations and makes the underlying particle-hole duality manifest.