# From duality to determinants for q-TASEP and ASEP

@article{Borodin2014FromDT,
title={From duality to determinants for q-TASEP and ASEP},
author={Alexei Borodin and Ivan Corwin and Tomohiro Sasamoto},
journal={Annals of Probability},
year={2014},
volume={42},
pages={2314-2382}
}
• Published 20 July 2012
• Mathematics
• Annals of Probability
We prove duality relations for two interacting particle systems: the $q$-deformed totally asymmetric simple exclusion process ($q$-TASEP) and the asymmetric simple exclusion process (ASEP). Expectations of the duality functionals correspond to certain joint moments of particle locations or integrated currents, respectively. Duality implies that they solve systems of ODEs. These systems are integrable and for particular step and half-stationary initial data we use a nested contour integral…
164 Citations

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