Zobrazeno 1 - 10
of 706
pro vyhledávání: '"Izosimov AS"'
Autor:
Hand, Leaha, Izosimov, Anton
The pentagram map is a discrete dynamical system on planar polygons. By definition, the image of a polygon $P$ under the pentagram map is the polygon $P'$ whose vertices are the intersection points of consecutive shortest diagonals of $P$. The pentag
Externí odkaz:
http://arxiv.org/abs/2405.06122
Autor:
Gekhtman, Michael, Izosimov, Anton
We review several constructions of integrable systems with an underlying cluster algebra structure, in particular the Gekhtman-Shapiro-Tabachnikov-Vainshtein construction based on perfect networks and the Goncharov-Kenyon approach based on the dimer
Externí odkaz:
http://arxiv.org/abs/2403.07287
Autor:
Izosimov, Anton
The general linear group $GL_{n}$, along with its adjoint simple group $PGL_n$, can be described by means of weighted planar networks. In this paper we give a network description for simple Lie groups of types $B$ and $C$. The corresponding networks
Externí odkaz:
http://arxiv.org/abs/2308.13975
We give a classification of generic coadjoint orbits for the group of area-preserving diffeomorphisms of a closed non-orientable surface. This completes V. Arnold's program of studying invariants of incompressible fluids in 2D. As an auxiliary proble
Externí odkaz:
http://arxiv.org/abs/2304.09354
Autor:
Izosimov, Anton
The circumcenter of mass of a simplicial polytope $P$ is defined as follows: triangulate $P$, assign to each simplex its circumcenter taken with weight equal to the volume of the simplex, and then find the center of mass of the resulting system of po
Externí odkaz:
http://arxiv.org/abs/2209.04031
Autor:
Izosimov, Anton, Beffa, Gloria Marí
We employ the Poisson-Lie group of pseudo-difference operators to define lattice analogs of classical $W_m$-algebras. We then show that the so-constructed algebras coincide with the ones given by discrete Drinfeld-Sokolov type reduction.
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Externí odkaz:
http://arxiv.org/abs/2206.14757
Autor:
Izosimov, Anton, Khesin, Boris
The Euler equation of an ideal (i.e. inviscid incompressible) fluid can be regarded, following V.Arnold, as the geodesic flow of the right-invariant $L^2$-metric on the group of volume-preserving diffeomorphisms of the flow domain. In this paper we d
Externí odkaz:
http://arxiv.org/abs/2206.01434
Autor:
Tezekbayeva, M. S., Yeremin, A. V., Svirikhin, A. I., Lopez-Martens, A., Chelnokov, M. L., Chepigin, V. I., Isaev, A. V., Izosimov, I. N., Karpov, A. V., Kuznetsova, A. A., Malyshev, O. N., Mukhin, R. S., Popeko, A. G., Popov, Yu. A., Rachkov, V. A., Sailaubekov, B. S., Sokol, E. A., Hauschild, K., Jacob, H., Chakma, R., Dorvaux, O., Forge, M., Gall, B., Kessaci, K., Andel, B., Antalic, S., Bronis, A., Mosat, P.
The new neutron-deficient isotope $^{249}$No was synthesized for the first time in the fusion-evaporation reaction $^{204}$Pb($^{48}$Ca,3n)$^{249}$No. After separation, using the kinematic separator SHELS, the new isotope was identified with the GABR
Externí odkaz:
http://arxiv.org/abs/2203.15659
Autor:
Isaev, A. V., Mukhin, R. S., Andreev, A. V., Bychkov, M. A., Chelnokov, M. L., Chepigin, V. I., Devaraja, H. M., Dorvaux, O., Forge, M., Gall, B., Hauschild, K., Izosimov, I. N., Kessaci, K., Kuznetsova, A. A., Lopez-Martens, A., Malyshev, O. N., Popeko, A. G., Popov, Yu. A., Rahmatinejad, A., Sailaubekov, B., Shneidman, T. M., Sokol, E. A., Svirikhin, A. I., Testov, D. A., Tezekbayeva, M. S., Yeremin, A. V., Zamyatin, N. I., Zhumadilov, K. Sh.
An experiment on the study of the $^{246}$Fm spontaneous fission was conducted using the SHELS separator. The isotope was synthesized in the complete fusion reaction of $^{40}$Ar beam ions and $^{208}$Pb target nuclei. The neutron yields of $^{246}$F
Externí odkaz:
http://arxiv.org/abs/2203.11802
Autor:
Izosimov, Anton, Khesin, Boris
The pentagram map on polygons in the projective plane was introduced by R. Schwartz in 1992 and is by now one of the most popular and classical discrete integrable systems. In the present paper we introduce and prove integrability of long-diagonal pe
Externí odkaz:
http://arxiv.org/abs/2203.07578