Maciej Dolkega

collaborators

5 papers

math.AG2026

$b$ -Hurwitz numbers from Whittaker vectors for $W$ -algebras

Nitin K. Chidambaram, Maciej DoÅÄga, Kento Osuga

We show that $b$ -Hurwitz numbers with a rational weight are obtained by taking an explicit limit of a Whittaker vector for the $W$ -algebra of type $A$ . Our result is a va…

math-ph2025

Crystallization of discrete $N$ -particle systems at high temperature

Cesar Cuenca, Maciej DoÅÄga

This is the second paper in a series studying the global asymptotics of discrete $N$ -particle systems with inverse temperature parameter $I^¸$ in the high temperature regime. In the…

math.PR2025

Discrete $N$ -particle systems at high temperature through Jack generating functions

Cesar Cuenca, Maciej DoÅÄga

We find necessary and sufficient conditions for the Law of Large Numbers for random discrete $N$ -particle systems with the deformation (inverse temperature) parameter $I^¸$ , as thei…

math.CO2025

Path operators and $(q, t)$ -tau functions

Houcine Ben Dali, Valentin Bonzom, Maciej DoÅÄga

We construct a new class of operators that act on symmetric functions with two deformation parameters $q$ and $t$ . Our combinatorial construction associates each operator with a sp…

math.PR2025

Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures

Cesar Cuenca, Maciej DoÅÄga, Alexander Moll

This paper establishes universal formulas describing the global asymptotics of two distinct discrete versions of $I^^{2}$ -ensembles in the high, low and fixed temperature regimes. Our…

b-Hurwitz numbers from Whittaker vectors for W-algebras

Crystallization of discrete N-particle systems at high temperature

Discrete N-particle systems at high temperature through Jack generating functions

Path operators and (q,t)-tau functions

Universality of global asymptotics of Jack-deformed random Young diagrams at varying temperatures

$b$ -Hurwitz numbers from Whittaker vectors for $W$ -algebras

Crystallization of discrete $N$ -particle systems at high temperature

Discrete $N$ -particle systems at high temperature through Jack generating functions

Path operators and $(q, t)$ -tau functions