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math.CO2025
Shuffling via sums of Jucys--Murphy Elements
Samira Arfaee, Evita Nestoridi
We consider a family of card shuffles of cards in which the allowed moves involve transpositions corresponding to the Jucys--Murphy elements of the symmetric group $\{S_m\}_{m…
math.CO2022
Rowmotion Markov Chains
Colin Defant, Rupert Li, Evita Nestoridi
Rowmotion is a certain well-studied bijective operator on the distributive lattice of order ideals of a finite poset . We introduce the rowmotion Markov chain ${\bf M}_{J…