Maciej Dołęga

activity

20172022

most citedGaussian fluctuations of Jack-deformed random Young diagrams

13 citations · 25 across the 3 of their papers we have counts for

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math.CO2022

Procesi's Conjecture on the Formanek-Weingarten Function is False

Maciej Dołęga, Jonathan Novak

In this paper, we disprove a recent monotonicity conjecture of C. Procesi on the generating function for monotone walks on the symmetric group, an object which is equivalent to the…

math.CO2021★ 12 cited

$b$ -monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and $O (N)$ -BGW integral

Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga

We study a $b$ -deformation of monotone Hurwitz numbers, obtained by deforming Schur functions into Jack symmetric functions. We give an evolution equation for this model and derive…

Procesi's Conjecture on the Formanek-Weingarten Function is False

b-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and O(N)-BGW integral

$b$ -monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and $O (N)$ -BGW integral