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arXiv · 1706.03956

Reverse juggling processes

Arvind Ayyer·Svante Linusson
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Abstract

Knutson introduced two families of reverse juggling Markov chains (single and multispecies) motivated by the study of random semi-infinite matrices over $\mathbb{F}_q$. We present natural generalizations of both chains by placing generic weights that still lead to simple combinatorial expressions for the stationary distribution. For permutations, this is a seemingly new multivariate generalization of the inversion polynomial.

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Arvind Ayyer, Svante Linusson. 2017-06-13. Reverse juggling processes. https://doi.org/10.1002/rsa.20825

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