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7 papers · 1 filter
Rigidity of Determinantal Point Processes with the Airy, the Bessel and the Gamma Kernel
Alexander I. Bufetov
A point process is said to be rigid if for any bounded domain in the phase space, the number of particles in the domain is almost surely determined by the restriction of the config…
Baryon and chiral symmetry breaking in holographic QCD
Alexander Gorsky, Sven Bjarke Gudnason, Alexander Krikun
We study the relationship between chiral symmetry breaking and baryons in holographic QCD. We construct a soliton with unit baryon charge in the presence of a nonzero mean value of…
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
Yulia Bibilo, Galina Filipuk
The paper is devoted to non-Schlesinger isomonodromic deformations for resonant Fuchsian systems. There are very few explicit examples of such deformations in the literature. In th…
Laplace operators on the cone of Radon measures
Yuri Kondratiev, Eugene Lytvynov, Anatoly Vershik
We consider the infinite-dimensional Lie group which is the semidirect product of the group of compactly supported diffeomorphisms of a Riemannian manifold and th…
An Upper Bound on the Minimum Distance of LDPC Codes over GF(q)
Alexey Frolov
In [1] a syndrome counting based upper bound on the minimum distance of regular binary LDPC codes is given. In this paper we extend the bound to the case of irregular and generaliz…
Matrix model approach to minimal Liouville gravity revisited
V. Belavin, Yu. Rud
Using the connection with the Frobenius manifold structure, we study the matrix model description of minimal Liouville gravity (MLG) based on the Douglas string equation. Our goal…