Some generalized juggling processes (extended abstract)
Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015)
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We consider generalizations of juggling Markov chains introduced by Ayyer, Bouttier, Corteel and Nunzi. We first study multispecies generalizations of all the finite models therein, namely the MJMC, the add-drop and the annihilation models. We then consider the case of several jugglers exchanging balls. In all cases, we give explicit product formulas for the stationary probability and closed-form expressions for the normalization factor if known.
@article{DMTCS_2015_special_285_a81,
author = {Ayyer, Arvind and Bouttier, J\'er\'emie and Linusson, Svante and Nunzi, Fran\c{c}ois},
title = {Some generalized juggling processes (extended abstract)},
journal = {Discrete mathematics & theoretical computer science},
year = {2015},
volume = {DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)},
doi = {10.46298/dmtcs.2537},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2537/}
}
TY - JOUR AU - Ayyer, Arvind AU - Bouttier, Jérémie AU - Linusson, Svante AU - Nunzi, François TI - Some generalized juggling processes (extended abstract) JO - Discrete mathematics & theoretical computer science PY - 2015 VL - DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) UR - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2537/ DO - 10.46298/dmtcs.2537 LA - en ID - DMTCS_2015_special_285_a81 ER -
%0 Journal Article %A Ayyer, Arvind %A Bouttier, Jérémie %A Linusson, Svante %A Nunzi, François %T Some generalized juggling processes (extended abstract) %J Discrete mathematics & theoretical computer science %D 2015 %V DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) %U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2537/ %R 10.46298/dmtcs.2537 %G en %F DMTCS_2015_special_285_a81
Ayyer, Arvind; Bouttier, Jérémie; Linusson, Svante; Nunzi, François. Some generalized juggling processes (extended abstract). Discrete mathematics & theoretical computer science, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) (2015). doi: 10.46298/dmtcs.2537
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