10 citations · 23 across the 10 of their papers we have counts for
13 papers
Isotropic Grassmannians, Plücker and Cartan maps
F. Balogh, J. Harnad, J. Hurtubise
This work is motivated by the relation between the KP and BKP integrable hierarchies, whose -functions may be viewed as sections of dual determinantal and Pfaffian line bundles…
Orthogonal polynomials for a class of measures with discrete rotational symmetries in the complex plane
Ferenc Balogh, Tamara Grava, Dario Merzi
We obtain the strong asymptotics of polynomials , , orthogonal with respect to measures in the complex plane of the form $$ e^{-N(|λ|^{2s}-tλ^s-\overline{tλ…
On longest increasing subsequences in words in which all multiplicities are equal
Ferenc Balogh
Gessel's famous Bessel determinant formula gives the generating function of the number of permutations without increasing subsequences of a given length. Ekhad and Zeilberger propo…
Hankel Determinant Approach to Generalized Vorob'ev-Yablonski Polynomials and their Roots
Ferenc Balogh, Marco Bertola, Thomas Bothner
Generalized Vorob'ev-Yablonski polynomials have been introduced by Clarkson and Mansfield in their study of rational solutions of the second Painlevé hierarchy. We present new Hank…
Geometric interpretation of Zhou's explicit formula for the Witten-Kontsevich tau function
Ferenc Balogh, Di Yang
Based on the work of Itzykson and Zuber on Kontsevich's integrals, we give a geometric interpretation and a simple proof of Zhou's explicit formula for the Witten-Kontsevich tau fu…
Discrete matrix models for partial sums of conformal blocks associated to Painlevé transcendents
F. Balogh
A recently formulated conjecture of Gamayun, Iorgov and Lisovyy gives an asymptotic expansion of the Jimbo--Miwa--Ueno isomonodromic -function for certain Painlevé transcendents…