Publication : t15/225

Some generalized juggling processes

Ayyer A. (Department of Mathematics, Indian Institute of Science, Bangalore, 560 012, India)
Bouttier J. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Linusson S. (Department of Mathematics, KTH-Royal Institute of Technology, SE-100 44, Stockholm, Sweden)
Nunzi F. (LIAFA, CNRS et Université Paris Diderot, Case 7014, F-75205 Paris Cedex 13, France)
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.
Année de publication : 2015
Revue : DMTCS Proceedings FPSAC'15 925-936 (2015)
Conférence - Poster : par F. Nunzi; 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) ; Daejeon, South Korea ; 2015-07-06 / 2015-07-10
Lien :
Langue : Anglais


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