12 citations · 12 across the 2 of their papers we have counts for
3 papers
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
-monotone Hurwitz numbers: Virasoro constraints, BKP hierarchy, and -BGW integral
Valentin Bonzom, Guillaume Chapuy, Maciej Dołęga
We study a -deformation of monotone Hurwitz numbers, obtained by deforming Schur functions into Jack symmetric functions. We give an evolution equation for this model and derive…
math.PR2017
Gaussian fluctuations of Jack-deformed random Young diagrams
Maciej Dołęga, Piotr Śniady
We introduce a large class of random Young diagrams which can be regarded as a natural one-parameter deformation of some classical Young diagram ensembles; a deformation which is r…