Recently, there has been much progress in understanding stationary measures for colored
(also called multi-species or multi-type) interacting particle systems, motivated by asymptotic …

We investigate a rich new class of exactly solvable particle systems generalizing the Totally
Asymmetric Simple Exclusion Process (TASEP). Our particle systems can be thought of as …

Employing bijectivization of summation identities, we introduce local stochastic moves
based on the Yang–Baxter equation for. Combining these moves leads to a new object …

These lecture notes, adapted from the habilitation thesis of the author, survey in a first part
various exact results obtained in the past few decades about KPZ fluctuations in one …

We present two new connections between the inhomogeneous stochastic higher spin six
vertex model in a quadrant and integrable stochastic systems from the Macdonald …

Abstract Bijectivization refines the Yang-Baxter equation into a pair of local Markov moves
which randomly update the configuration of the vertex model. Employing this approach, we …

In the context of the coloured stochastic vertex model in a quadrant, we identify a family of
observables whose averages are given by explicit contour integrals. The observables are …

We introduce a new family of integrable stochastic processes, called dynamical stochastic
higher spin vertex models, arising from fused representations of Felder's elliptic quantum …

In this paper we consider the Higher Spin Six Vertex Model on the lattice Z _ ≥ 2 * Z _ ≥ 1
Z≥ 2× Z≥ 1. We first identify a family of translation invariant measures and subsequently we …

In this paper, we study the stationary distributions for the stochastic vertex models. Our main
focus is the stochastic six vertex (S6V) model. We show that the extremal stationary …