4 citations · 8 across the 3 of their papers we have counts for
3 papers
math.QA2021★ 3 cited
A state-space approach to quantum permutations
J. P. McCarthy
An exposition of quantum permutation groups where an alternative to the 'Gelfand picture' of compact quantum groups is proposed. This point of view is inspired by algebraic quantum…
math.QA2020★ 4 cited
The Ergodic Theorem for Random Walks on Finite Quantum Groups
J. P. McCarthy
Necessary and sufficient conditions for a Markov chain to be ergodic are that the chain is irreducible and aperiodic. This result is manifest in the case of random walks on finite…
math.PR2015★ 1 cited
The Cut-Off Phenomenon in Random Walks on Finite Groups
J. P. McCarthy
How many shuffles are needed to mix up a deck of cards? This question may be answered in the language of a random walk on the symmetric group, . This generalises neatly to…