7 papers · 1 filter
Integrable multi-species SSEP with reactive particle species
Mathieu Dabrowski, Loïc Poulain d'Andecy, Eric Ragoucy
We investigate integrable exclusion Markov processes constructed from set-theoretical solutions of the Yang-Baxter Equation (YBE) that generalise the multi-species Symmetric Simple…
Serre Relations in Yangian Doubles
A. Liashyk, S. Pakuliak, E. Ragoucy
Following the approach of B.~Enriquez~\cite{E} we exhibit the analytical properties of the products of the currents in the Yangian doubles restricted to the category of the highest…
Bethe Vectors in Quantum Integrable Models with Classical Symmetries
A. Liashyk, S. Pakuliak, E. Ragoucy
The first goal of this paper is to give a precise and simple definition for off-shell Bethe vectors in a generic -invariant integrable model for , , …
Twisted symmetric exclusion processes and set-theoretical -matrices
Mathieu Dabrowski, Loïc Poulain d'Andecy, Eric Ragoucy
We investigate periodic integrable Markov models, constructed from set-theoretical solutions of the Yang-Baxter equation. We first focus on the simplest class of solutions, called…
Scalar products and norm of Bethe vectors in invariant integrable models
A. Liashyk, S. Pakuliak, E. Ragoucy
We compute scalar products of off-shell Bethe vectors in models with symmetry. The scalar products are expressed as a sum over partitions of the Bethe parameter sets, th…
-deformed Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +1
New bivariate Griffiths polynomials of -Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R.…