q--exchangeable Measures and Transformations in Interacting Particle Systems
Probability
2024-09-20 v1
Abstract
This paper provides unified calculations regarding certain measures and transformations in interacting particle systems. More specifically, we provide certain general conditions under which an interacting particle system will have a reversible measure, gauge transformation, or ground state transformation. Additionally, we provide a method to prove that these conditions hold. This method uses certain quantum groups, and in that context the general conditions specialize to a --exchangeable property.
Cite
@article{arxiv.2409.12888,
title = {q--exchangeable Measures and Transformations in Interacting Particle Systems},
author = {Jeffrey Kuan},
journal= {arXiv preprint arXiv:2409.12888},
year = {2024}
}
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