Work

Reverse juggling processes

Year: 2018

Type: article

Abstract: Knutson introduced two families of reverse juggling Markov chains (single and multispecies) motivated by the study of random semi‐infinite matrices over . 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.

Source: Random Structures and Algorithms

DOI: 10.1002/rsa.20825

Authors: Arvind Ayyer, Svante Linusson

Institutions: Indian Institute of Science Bangalore, KTH Royal Institute of Technology

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Department of Science and Technology, Ministry of Science and Technology, India, Vetenskapsrådet

Awards: G360592415, G3827012654