4 papers
math.PR2026
Jucys--Murphy Elements for Wreath Products and Their Application to Dynamical Random Multi-Diagrams
Akihito Hora
The equivalence classes of irreducible representations of wreath product of finite group with respect to symmetric group $\math…
math.PR2025
Time evolution of averaged limit shapes of random multiple Young diagrams
Akihito Hora
The branching rule for the tower of wreath products of a finite group by the symmetric groups induces a stochastic process on the set of multiple Young diagrams through random tran…
math.RT2023
-Racah probability distribution
Masahito Hayashi, Akihito Hora, Shintarou Yanagida
We introduce a certain discrete probability distribution having non-negative integer parameters and quantum parameter which arises from a zonal spheri…
math.PR2023
Dynamical Spin Limit Shape of Young Diagram and Spin Jucys-Murphy Elements for Symmetric Groups
Akihito Hora
The branching rule for spin irreducible representations of symmetric groups gives rise to a Markov chain on the spin dual of s…