Ayyer, A and Linusson, S (2019) Reverse juggling processes. In: Random Structures and Algorithms, 55 (1). pp. 56-72.
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Official URL: https://doi.org/10.1002/rsa.20825
Abstract
Knutson introduced two families of reverse juggling Markov chains (single and multispecies) motivated by the study of random semi-infinite matrices over Fq. 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.
| Item Type: | Journal Article |
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| Publication: | Random Structures and Algorithms |
| Publisher: | John Wiley and Sons Ltd |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | inversion polynomial; juggling process; multispecies; random matrices; stationary distribution |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 23 Oct 2022 06:09 |
| Last Modified: | 23 Oct 2022 06:09 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77487 |
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