Résumé : I will give an introduction to, and describe recent research on the multi-type TASEP on a ring. This is a Markov process on permutations given by randomly sorting (cyclically) adjacent letters in the permutation at hand. The model is motivated both by physical and combinatorial considerations. The stationary distribution has a nice description in terms of the multi-line queues discovered by Ferrari and Martin.

 [arXiv]

Dernière modification : Thursday 21 November 2024

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