5 citations · 5 across the 1 of their papers we have counts for
3 papers
math.CO2023
On Young diagrams of maximum dimension
Vasilii Duzhin, Egor Smirnov-Maltsev
We study the problem of finding Young diagrams of maximum dimension, i. e. those with the largest number of Young tableaux of their shapes. Consider a class of Young diagrams that…
math.CO2020★ 5 cited
Asymptotic behaviour of normalized dimensions of standard and strict Young diagrams -- growth and oscillations
Vasilii Duzhin, Nikolay Vasilyev
In this paper, we present the results of a computer investigation of asymptotics for maximum dimensions of linear and projective representations of the symmetric group. This proble…
math.CO2018
Randomized Schützenberger's jeu de taquin and approximate calculation of co-transition probabilities of a central Markov process on the 3D Young graph
Vasilii Duzhin, Nikolay Vassiliev
There exists a well-known hook-length formula for calculating the dimensions of 2D Young diagrams. Unfortunately, the analogous formula for 3D case is unknown. We introduce an appr…