# HALF-SPACE MACDONALD PROCESSES

@article{Barraquand2020HALFSPACEMP,
title={HALF-SPACE MACDONALD PROCESSES},
author={Guillaume Barraquand and Alexei Borodin and Ivan Corwin},
journal={Forum of Mathematics, Pi},
year={2020},
volume={8}
}
• Published 22 February 2018
• Mathematics
• Forum of Mathematics, Pi
Macdonald processes are measures on sequences of integer partitions built using the Cauchy summation identity for Macdonald symmetric functions. These measures are a useful tool to uncover the integrability of many probabilistic systems, including the Kardar–Parisi–Zhang (KPZ) equation and a number of other models in its universality class. In this paper, we develop the structural theory behind half-space variants of these models and the corresponding half-space Macdonald processes. These…
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