59 citations · 195 across the 22 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2025
Discrete -particle systems at high temperature through Jack generating functions
Cesar Cuenca, Maciej Dołęga
We find necessary and sufficient conditions for the Law of Large Numbers for random discrete -particle systems with the deformation (inverse temperature) parameter , as their…
math.PR2023
Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures
Cesar Cuenca, Maciej Dołęga, Alexander Moll
This paper establishes universal formulas describing the global asymptotics of two distinct discrete versions of -ensembles in the high, low and fixed temperature regimes. Our r…
math.PR2014★ 59 cited
Gaussian fluctuations of Young diagrams and structure constants of Jack characters
Maciej Dołęga, Valentin Féray
In this paper, we consider a deformation of Plancherel measure linked to Jack polynomials. Our main result is the description of the first and second-order asymptotics of the bulk…