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)

Abstract:
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 : https://dmtcs.episciences.org/2537
Langue : Anglais