TY - JOUR
T1 - Hankel determinant approach to generalized Vorob'ev-Yablonski polynomials and their roots
JF - Constr. Approx.
Y1 - 2016
A1 - Ferenc Balogh
A1 - Marco Bertola
A1 - Thomas Bothner
VL - 44
UR - http://dx.doi.org/10.1007/s00365-016-9328-4
ER -
TY - JOUR
T1 - Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane
JF - Comm. Pure Appl. Math.
Y1 - 2015
A1 - Ferenc Balogh
A1 - Marco Bertola
A1 - Lee, Seung-Yeop
A1 - Kenneth McLaughlin
VL - 68
UR - http://dx.doi.org/10.1002/cpa.21541
ER -
TY - JOUR
T1 - Finite dimensional Kadomtsev-Petviashvili τ-functions. I. Finite Grassmannians
Y1 - 2014
A1 - Ferenc Balogh
A1 - Tiago Fonseca
A1 - John P. Harnad
AB - We study τ-functions of the Kadomtsev-Petviashvili hierarchy in terms of abelian group actions on finite dimensional Grassmannians, viewed as subquotients of the Hilbert space Grassmannians of Sato, Segal, and Wilson. A determinantal formula of Gekhtman and Kasman involving exponentials of finite dimensional matrices is shown to follow naturally from such reductions. All reduced flows of exponential type generated by matrices with arbitrary nondegenerate Jordan forms are derived, both in the Grassmannian setting and within the fermionic operator formalism. A slightly more general determinantal formula involving resolvents of the matrices generating the flow, valid on the big cell of the Grassmannian, is also derived. An explicit expression is deduced for the Plücker coordinates appearing as coefficients in the Schur function expansion of the τ-function.
PB - American Institute of Physics Inc.
UR - http://urania.sissa.it/xmlui/handle/1963/34952
U1 - 35153
U2 - Mathematics
U4 - 1
ER -
TY - JOUR
T1 - Weighted quantile correlation test for the logistic family
Y1 - 2014
A1 - Ferenc Balogh
A1 - Éva Krauczi
AB - We summarize the results of investigating the asymptotic behavior of the weighted quantile correlation tests for the location-scale family associated to the logistic distribution. Explicit representations of the limiting distribution are given in terms of integrals of weighted Brownian bridges or alternatively as infinite series of independent Gaussian random variables. The power of this test and the test for the location logistic family against some alternatives are demonstrated by numerical simulations.
PB - University of Szeged
UR - http://urania.sissa.it/xmlui/handle/1963/35025
U1 - 35261
U2 - Mathematics
U4 - 1
ER -
TY - RPRT
T1 - Equilibrium measures for a class of potentials with discrete rotational symmetries
Y1 - 2013
A1 - Ferenc Balogh
A1 - Dario Merzi
AB - In this note the logarithmic energy problem with external potential $|z|^{2n}+tz^d+\bar{t}\bar{z}^d$ is considered in the complex plane, where $n$ and $d$ are positive integers satisfying $d\leq 2n$. Exploiting the discrete rotational invariance of the potential, a simple symmetry reduction procedure is used to calculate the equilibrium measure for all admissible values of $n,d$ and $t$. It is shown that, for fixed $n$ and $d$, there is a critical value $|t|=t_{cr}$ such that the support of the equilibrium measure is simply connected for $|t|t_{cr}$.
PB - SISSA
UR - http://hdl.handle.net/1963/7230
N1 - 23 pages, 3 figures
U1 - 7270
U2 - Mathematics
U4 - 1
ER -
TY - JOUR
T1 - Regularity of a vector potential problem and its spectral curve
JF - J. Approx. Theory
Y1 - 2009
A1 - Ferenc Balogh
A1 - Marco Bertola
VL - 161
UR - http://0-dx.doi.org.mercury.concordia.ca/10.1016/j.jat.2008.10.010
ER -