Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Gaiur, Ilia"'
The theory of a two-valued algebraic group structure on a complex plane and complex projective line is developed. In this theory, depending on the choice of the neutral element, the local multiplication law is given by the Buchstaber polynomial or th
Externí odkaz:
http://arxiv.org/abs/2412.07330
We consider the generating function $\Phi^{(N)}$ for the reciprocals $N$-th power of factorials. We show a connection of product formulas for such series with the periods for certain families of algebraic hypersurfaces. For these families we describe
Externí odkaz:
http://arxiv.org/abs/2405.03015
In this paper we study the isomonodromic deformations of systems of differential equations with poles of any order on the Riemann sphere as Hamiltonian flows on the product of co-adjoint orbits of the Takiff algebra (i.e. truncated current algebra).
Externí odkaz:
http://arxiv.org/abs/2106.13760
Autor:
Gaiur, Ilia, Rubtsov, Vladimir
The extension of the Painlev\'e-Calogero coorespondence for n-particle Inozemtsev systems raises to the multi-particle generalisations of the Painlev\'e equations which may be obtained by the procedure of Hamiltonian reduction applied to the matrix o
Externí odkaz:
http://arxiv.org/abs/1912.12588
We consider a family of non-autonomous second-order differential equations, which generalizes the Li\'enard equation. We explicitly find the necessary and sufficient conditions for members of this family of equations to admit quadratic, with the resp
Externí odkaz:
http://arxiv.org/abs/1907.12638
Autor:
Gaiur, Ilia1,2 (AUTHOR), Mazzocco, Marta1 (AUTHOR) M.Mazzocco@bham.ac.uk, Rubtsov, Vladimir3,4,5 (AUTHOR)
Publikováno v:
Communications in Mathematical Physics. Jun2023, Vol. 400 Issue 2, p1385-1461. 77p.
Autor:
Gaiur, Ilia, Rubtsov, Vladimir
The extension of the Painlev\'e-Calogero coorespondence for n-particle Inozemtsev systems raises to the multi-particle generalisations of the Painlev\'e equations which may be obtained by the procedure of Hamiltonian reduction applied to the matrix o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=arXiv_dedup_::ca4b4a9bc3f4dc5a53c97ce441abb81e
https://hal.archives-ouvertes.fr/hal-02458709
https://hal.archives-ouvertes.fr/hal-02458709
Autor:
Gaiur, Ilia, Rubtsov, Vladimir
The extension of the Painlevé-Calogero coorespondence for n-particle Inozemtsev systems raises to the multi-particle generalisations of the Painlevé equations which may be obtained by the procedure of Hamiltonian reduction applied to the matrix or
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::2eb12c7eb6d692f7e98bed774581dff6
https://hal.univ-angers.fr/hal-02429054/file/Gaiur-Rubtsov.pdf
https://hal.univ-angers.fr/hal-02429054/file/Gaiur-Rubtsov.pdf
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