3 papers
math.PR2026
Degree-preserving conservative processes and a unified approach for their hydrodynamics
Chiara Franceschini, PatrÃcia Gonçalves, Kohei Hayashi +1
We investigate a broad class of large-scale one-dimensional interacting systems characterized by a single conservation law and satisfying the "degree-preserving property". Under mi…
math.PR2025
Duality for some models of epidemic spreading
Chiara Franceschini, Ellen Saada, Gunter M. Schütz +1
We examine the role of boundaries and the structure of nontrivial duality functions for three non conservative interacting particle systems in one dimension that model epidemic spr…
math.PR2024
Orthogonal polynomial duality and unitary symmetries of multi--species ASEP and higher--spin vertex models via --bialgebra structure of higher rank quantum groups
Chiara Franceschini, Jeffrey Kuan, Zhengye Zhou
We propose a novel, general method to produce orthogonal polynomial dualities from the --bialgebra structure of Drinfeld--Jimbo quantum groups. The --structure allows for t…