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math.CO2026
River ribbon tableaux and symmetric group characters
Lucas Teyssier
We introduce river ribbon tableaux, where a river of non-trivial ribbons is placed between two banks of single boxes. Compared to other ribbon peelings, this reduces the geometric…
math.CO2026
Very high genus double Hurwitz numbers via mixing times
Baptiste Louf, Lucas Teyssier
We obtain very high genus asymptotics for double Hurwitz numbers when both the size and the genus go to infinity, under the constraint that grows much faster than ,…
math.PR2026
Cutoff profiles for conjugacy invariant random walks on symmetric groups
Lucas Teyssier
We prove asymptotic equivalents of characters for finite-level representations of symmetric groups, that is, for Young diagrams which have all but finitely many boxes on their firs…