Shift invariance of half space integrable models
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440_2025_Article_1358.pdf
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1.25 MB
Format
Adobe PDF
Checksum (MD5)
b4229cb88ffdf3b0c87750aa7ad102da
Author(s)
He, Jimmy
Date Issued
January 16, 2025
Journal
Probability Theory and Related Fields
Publisher
Springer Berlin Heidelberg
Citation
He, J. Shift invariance of half space integrable models. Probab. Theory Relat. Fields (2025).
Version
Final published version
Abstract
We formulate and establish symmetries of certain integrable half space models, analogous to recent results on symmetries for models in a full space. Our starting point is the colored stochastic six vertex model in a half space, from which we obtain results on the asymmetric simple exclusion process, as well as for the beta polymer through a fusion procedure which may be of independent interest. As an application, we establish a distributional identity between the absorption time in a type B analogue of the oriented swap process and last passage times in a half space, establishing the Baik–Ben Arous–Péché phase transition for the absorption time. The proof uses Hecke algebras and integrability of the six vertex model through the Yang–Baxter and reflection equations.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00440-025-01358-9
