Free Askey-Wilson functionals yield generating function representations for geometric LPP on a strip, giving the full phase diagram of the stationary measure and a Poisson approximation.
Askey-Wilson signed measures and open ASEP in the shock region
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We introduce a family of multi-dimensional Askey-Wilson signed measures. We offer an explicit description of the stationary measure of the open asymmetric simple exclusion process (ASEP) in the full phase diagram, in terms of integrations with respect to these Askey-Wilson signed measures. Using our description, we provide a rigorous derivation of the density profile and limit fluctuations of open ASEP in the entire shock region, including the high and low density phases as well as the coexistence line. This in particular confirms the existing physics postulations of the density profile.
fields
math.PR 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Free Askey--Wilson functionals and geometric last passage percolation on a strip
Free Askey-Wilson functionals yield generating function representations for geometric LPP on a strip, giving the full phase diagram of the stationary measure and a Poisson approximation.