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arXiv · 2409.12888

q--exchangeable Measures and Transformations in Interacting Particle Systems

Jeffrey Kuan
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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 \(q\)--exchangeable property.

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Jeffrey Kuan. 2024-09-19. q--exchangeable Measures and Transformations in Interacting Particle Systems. https://arxiv.org/abs/2409.12888

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