Orateur
Kirone Mallick
(IPhT, CEA Saclay et CNRS)
Description
In this talk, we shall explain how the stationary
measure of multi-species exclusion
processes on a ring can
be expressed by a Matrix Product Representation. The algebras
involved are constructed recursively by performing tensor products
of the fundamental quadratic algebra appearing in
the archetypal ASEP problem (Derrida et al. 1993) and can be
related to the Algebraic Bethe Ansatz.
We shall also show that similar structures allow us to
compute the large deviation functions
for current fluctuations.
Auteur principal
Kirone Mallick
(IPhT, CEA Saclay et CNRS)
