43 citations · 257 across the 21 of their papers we have counts for
24 papers
Hydrodynamic behavior of the 2-TASEP
Luigi Cantini, Ali Zahra
We address the question of the large scale or hydrodynamic behavior of a 2-species generalization of TASEP (2-TASEP), consisting of two kinds of particles, moving in opposite direc…
Boundary emptiness formation probabilities in the six-vertex model at
Alexi Morin-Duchesne, Christian Hagendorf, Luigi Cantini
We define a new family of overlaps for the XXZ Hamiltonian on a periodic chain of length . These are equal to the linear sums of the groundstate components, in the can…
Integral formulas and antisymmetrization relations for the six-vertex model
Luigi Cantini, Filippo Colomo, Andrei G. Pronko
We study the relationship between various integral formulas for nonlocal correlation functions of the six-vertex model with domain wall boundary conditions. Specifically, we show h…
Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
Luigi Cantini, Alexandr Garbali, Jan de Gier +1
We prove that the normalisation of the stationary state of the multi-species asymmetric simple exclusion process (mASEP) is a specialisation of a Koornwinder polynomial. As a corol…
Inhomogenous Multispecies TASEP on a ring with spectral parameters
Luigi Cantini
We study an inhomogenous multispecies version of the Totally Asymmetric Simple Exclusion Process (TASEP) on a periodic oriented one dimensional lattice, which depends on two sets o…
Matrix product and sum rule for Macdonald polynomials
Luigi Cantini, Jan de Gier, Michael Wheeler
We present a new, explicit sum formula for symmetric Macdonald polynomials and show that they can be written as a trace over a product of (infinite dimensional) matrices. The…