%0 Journal Article
%J Constr. Approx.
%D 2016
%T Hankel determinant approach to generalized Vorob'ev-Yablonski polynomials and their roots
%A Ferenc Balogh
%A Marco Bertola
%A Thomas Bothner
%B Constr. Approx.
%V 44
%P 417–453
%G eng
%U http://dx.doi.org/10.1007/s00365-016-9328-4
%R 10.1007/s00365-016-9328-4
%0 Journal Article
%J Comm. Pure Appl. Math.
%D 2015
%T Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane
%A Ferenc Balogh
%A Marco Bertola
%A Lee, Seung-Yeop
%A Kenneth McLaughlin
%B Comm. Pure Appl. Math.
%V 68
%P 112–172
%G eng
%U http://dx.doi.org/10.1002/cpa.21541
%R 10.1002/cpa.21541
%0 Journal Article
%D 2014
%T Finite dimensional Kadomtsev-Petviashvili τ-functions. I. Finite Grassmannians
%A Ferenc Balogh
%A Tiago Fonseca
%A John P. Harnad
%X 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.
%I American Institute of Physics Inc.
%G en
%U http://urania.sissa.it/xmlui/handle/1963/34952
%1 35153
%2 Mathematics
%4 1
%$ Submitted by gfeltrin@sissa.it (gfeltrin@sissa.it) on 2015-11-04T14:31:01Z
No. of bitstreams: 1
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%R 10.1063/1.4890818
%0 Journal Article
%D 2014
%T Weighted quantile correlation test for the logistic family
%A Ferenc Balogh
%A Éva Krauczi
%X 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.
%I University of Szeged
%G en
%U http://urania.sissa.it/xmlui/handle/1963/35025
%1 35261
%2 Mathematics
%4 1
%$ Submitted by gfeltrin@sissa.it (gfeltrin@sissa.it) on 2015-11-17T09:50:18Z
No. of bitstreams: 1
preprint2014.pdf: 364753 bytes, checksum: 77f35846fb1cee29a66ca18ff89d5331 (MD5)
%R 10.14232/actasm-013-809-8
%0 Report
%D 2013
%T Equilibrium measures for a class of potentials with discrete rotational symmetries
%A Ferenc Balogh
%A Dario Merzi
%X 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 $|t|t_{cr}$.
%I SISSA
%G en
%U http://hdl.handle.net/1963/7230
%1 7270
%2 Mathematics
%4 1
%$ Submitted by Dario Merzi (dmerzi@sissa.it) on 2013-12-09T12:34:49Z
No. of bitstreams: 1
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%0 Journal Article
%J J. Approx. Theory
%D 2009
%T Regularity of a vector potential problem and its spectral curve
%A Ferenc Balogh
%A Marco Bertola
%B J. Approx. Theory
%V 161
%P 353–370
%G eng
%U http://0-dx.doi.org.mercury.concordia.ca/10.1016/j.jat.2008.10.010
%R 10.1016/j.jat.2008.10.010