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 construct all invariant measures of the n-species priority asymmetric simple exclusion
process with reflecting boundaries and prove reversibility. Using the symmetry of the …

We study two generalizations of the asymmetric simple exclusion process (ASEP) with two
types of particles, which will be called type A 2 ASEP and type C 2 ASEP. Particles of type 1 …

We study a two-component asymmetric simple exclusion process (ASEP) that is equivalent
to the ASEP with second-class particles. We prove self-duality with respect to a family of …

Transition probability and total crossing events in the multi-species asymmetric exclusion
process - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …

The transition probability and the probability for the left-most particle's position of the q-totally
asymmetric zero range process | Journal of Mathematical Physics | AIP Publishing Skip to Main …

Let us consider a two-sided multi-species stochastic particle model with finitely many
particles on Z, defined as follows. Suppose that each particle is labelled by a positive integer …

Let us consider a two-sided multi-species stochastic particle model with finitely many
particles on $\mathbb {Z} $ defined as follows. Suppose that each particle is labelled by a …

We find the formulas of the transition probabilities of the $ N $-particle multi-species
asymmetric simple exclusion processes (ASEP), and show that the transition probabilities …

Consider an inhomogeneous multi-species TASEP with drift to the left, and define a height
function which equals the maximum species number to the left of a lattice site. For each fixed …