4 papers
Interval-closed set rowmotion and homomesy on products of two chains
Nadia Lafrenière, Joel Brewster Lewis, Erin McNicholas +2
We study rowmotion dynamics on interval-closed sets. Our first main result proves a simplification of the global definition of interval-closed set rowmotion from (Elder, Lafrenière…
Enumeration of interval-closed sets via Motzkin paths and quarter-plane walks
Sergi Elizalde, Nadia Lafrenière, Joel Brewster Lewis +3
We find a generating function for interval-closed sets of the product of two chains poset by constructing a bijection to certain bicolored Motzkin paths. We also find a functional…
Eigenvalues of symmetrized shuffling operators
Nadia Lafrenière
This paper describes a combinatorial way of obtaining all the eigenvalues of the symmetrized shuffling operators introduced by Victor Reiner, Franco Saliola and Volkmar Welker. It…
Palindromic complexity of trees
Srečko Brlek, Nadia Lafrenière, Xavier Provençal
We consider finite trees with edges labeled by letters on a finite alphabet . Each pair of nodes defines a unique labeled path whose trace is a word of the free monoid $…