Zobrazeno 1 - 10
of 102
pro vyhledávání: '"Anton Zabrodin"'
Autor:
Iskander A. Taimanov, Nikita Nekrasov, Petr Georgievich Grinevich, O. K. Sheinman, Sergey Novikov, M. A. Olshanetsky, A. N. Varchenko, Leonid Chekhov, S. Yu. Dobrokhotov, Semen Bensionovich Shlosman, Andrei Marshakov, Andrei Mironov, Aleksandr Petrovich Veselov, Michael Anatol'evich Tsfasman, Viktor M Buchstaber, A. K. Pogrebkov, S. M. Grushevsky, Anton Zabrodin, A. Yu. Okounkov
Publikováno v:
Russian Mathematical Surveys. 76:733-743
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3dfeb8e19d731f0c0aa6b329fd0467e4
https://doi.org/10.1070/rm10015
https://doi.org/10.1070/rm10015
Autor:
V. V. Prokofev, Anton Zabrodin
Publikováno v:
Theoretical and Mathematical Physics. 208:1093-1115
We consider solutions of the 2D Toda lattice hierarchy that are elliptic functions of the “zeroth” time $$t_0=x$$ . It is known that their poles as functions of $$t_1$$ move as particles of the elliptic Ruijsenaars–Schneider model. The goal of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::731a5d52a00c440b1cc990f357b2f1c1
https://doi.org/10.1134/s0040577921080080
https://doi.org/10.1134/s0040577921080080
Autor:
Igor Krichever, Anton Zabrodin
Publikováno v:
Communications in Mathematical Physics. 386:1643-1683
A characterization of the Kadomtsev-Petviashvili hierarchy of type C (CKP) in terms of the KP tau-function is given. Namely, we prove that the CKP hierarchy can be identified with the restriction of odd times flows of the KP hierarchy on the locus of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33d695ffb10a6582624c5b92839a1b10
https://doi.org/10.1007/s00220-021-04119-6
https://doi.org/10.1007/s00220-021-04119-6
Autor:
D. S. Rudneva, Anton Zabrodin
Publikováno v:
Theoretical and Mathematical Physics. 204:1209-1215
We study elliptic solutions of the semidiscrete B-version of the Kadomtsev–Petviashvili equation and derive the equations of motion of their poles. The auxiliary linear problems for the wave function are the main technical tool.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d595192ad06c10c677791bf25f9c4054
https://doi.org/10.1134/s0040577920090093
https://doi.org/10.1134/s0040577920090093
Autor:
Takashi Takebe, Anton Zabrodin
We study the dispersionless version of the recently introduced constrained Toda hierarchy. Like the Toda lattice itself, it admits three equivalent formulations: the formulation in terms of Lax equations, the formulation of the Zakharov-Shabat type a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c9163a594d499aa796cd942552ec404
Autor:
Anton Zabrodin
Publikováno v:
Theoretical and Mathematical Physics. 199:771-783
Using the bilinear formalism, we consider multicomponent and matrix Kadomtsev-Petviashvili hierarchies. The main tool is the bilinear identity for the tau function realized as the vacuum expectation value of a Clifford group element composed of multi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::beb330d664335bb89803b0cc7dd5550c
https://doi.org/10.1134/s0040577919060011
https://doi.org/10.1134/s0040577919060011
Publikováno v:
Nuclear Physics B, Vol 939, Iss, Pp 174-190 (2019)
Nuclear Physics
Nuclear Physics
We describe the correspondence of the Matsuo-Cherednik type between the quantum $n$-body Ruijsenaars-Schneider model and the quantum Knizhnik-Zamolodchikov equations related to supergroup $GL(N|M)$. The spectrum of the Ruijsenaars-Schneider Hamiltoni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8c7eeac05a2cdeea4afbe9ccdb2215a
https://doi.org/10.1016/j.nuclphysb.2018.12.014
https://doi.org/10.1016/j.nuclphysb.2018.12.014
Autor:
Anton Zabrodin
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 199:343-356
С помощью билинейного формализма рассматриваются многокомпонентная и матричная иерархии Кадомцева-Петвиашвили. В качестве основного
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8b31026532287ae3df4c3bcc84ce136
https://doi.org/10.4213/tmf9642
https://doi.org/10.4213/tmf9642
Autor:
Anton Zabrodin, V. Prokofev
We consider solutions of the KP hierarchy which are elliptic functions of $x=t_1$. It is known that their poles as functions of $t_2$ move as particles of the elliptic Calogero-Moser model. We extend this correspondence to the level of hierarchies an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6406587bdea3208db6141386df4e8802
http://arxiv.org/abs/2102.03784
http://arxiv.org/abs/2102.03784
Autor:
Anton Zabrodin
We show that the configuration in the phase space of the elliptic Calogero-Moser model when particles stick together in pairs is stable under the third Hamiltonian flow of the model. The equations of motion for the pairs coincide with the equations o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c89e838551be925cf57aa0c8006ec48c