collaborators

4 papers

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…

math.CO2025

Bounds on skew dimensions and characters of symmetric groups via thick hook decompositions

Lucas Teyssier

We bound the number of standard tableaux of skew shapes via thick hook decompositions in the Naruse hook length formula. Combining this with elementary counting arguments in the Mu…

math.RT2025

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…

math.RT2025

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…