157 citations · 172 across the 8 of their papers we have counts for
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math.CO2015
Combinatorics of the zeta map on rational Dyck paths
Cesar Ceballos, Tom Denton, Christopher R. H. Hanusa
An -Dyck path is a lattice path from to that stays above the line . The zeta map is a curious rule that maps the set of -Dyck path…
math.CO2013★ 1 cited
Algebraic and Affine Pattern Avoidance
Tom Denton
We investigate various connections between the 0-Hecke monoid, Catalan monoid, and pattern avoidance in permutations, providing new tools for approaching pattern avoidance in an al…
math.CO2012
Canonical Decompositions of Affine Permutations, Affine Codes, and Split -Schur Functions
Tom Denton
We study the unique maximal decomposition of an arbitrary affine permutation into a product of cyclically decreasing elements, providing a new perspective on work of Thomas Lam. Th…