6 papers
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…
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 ,…
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…
Bounds on skew dimensions and characters of symmetric groups via thick hook decompositions
Lucas Teyssier
We introduce a new decomposition of Young diagrams into thick hooks. These thick hook decompositions enable having a better control over hook products for excited diagrams in the N…
Sharp character bounds and cutoff for symmetric groups
Sam Olesker-Taylor, Lucas Teyssier, Paul Thévenin
We develop a flexible technique to bound the characters of symmetric groups, via the Naruse hook length formula, the Larsen--Shalev character bounds, and appropriate diagram slicin…
Characters of symmetric groups: sharp bounds on virtual degrees and the Witten zeta function
Lucas Teyssier, Paul Thévenin
We prove sharp bounds on the virtual degrees introduced by Larsen and Shalev. This leads to improved bounds on characters of symmetric groups. We then sharpen bounds of Liebeck and…