Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Gaiane Panina"'
Autor:
Gaiane Panina, Rade T. Živaljević
Publikováno v:
Topological Methods in Nonlinear Analysis. :1-24
The classical approach to envy-free division and equilibrium problems arising in mathematical economics typically relies on Knaster-Kuratowski-Mazurkiewicz theorem, Sperner's lemma or some extension involving mapping degree. We propose a different an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::694b6cc65def31720a94229520cac803
https://doi.org/10.12775/tmna.2022.036
https://doi.org/10.12775/tmna.2022.036
Publikováno v:
Izvestiya: Mathematics. 86:275-290
We prove amultiple coloured Tverberg theoremand abalanced coloured Tverberg theorem, applying different methods, tools and ideas. The proof of the first theorem uses a multiple chessboard complex (as configuration space) and the Eilenberg–Krasnosel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a6ad4317c8e20da9febe4417e88299af
https://doi.org/10.1070/im9024
https://doi.org/10.1070/im9024
Publikováno v:
Israel Journal of Mathematics. 241:17-36
We prove that the symmetrized deleted join SymmDelJoin( $$\mathcal{K}$$ ) of a “balanced family” $$\mathcal{K}$$ = 〈Ki〉 =1 of collectively r-unavoidable subcomplexes of 2[m] is (m−r−1)-connected. As a consequence we obtain a Tverberg-Van
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::958296165d7a02f5e48d184484e9b283
https://doi.org/10.1007/s11856-021-2087-3
https://doi.org/10.1007/s11856-021-2087-3
Autor:
Ilia Nekrasov, Gaiane Panina
Publikováno v:
St. Petersburg Mathematical Journal. 31:59-67
We describe the cohomology ring of the moduli space of a flexible polygon in geometrically meaningful terms. We propose two presentations, both are computation friendly: there are simple rules for cup product.
Comment: arXiv admin note: text ove
Comment: arXiv admin note: text ove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::890d81392e6c14aee0f094a9ab38a2ce
https://doi.org/10.1090/spmj/1584
https://doi.org/10.1090/spmj/1584
Autor:
Ilia Nekrasov, Gaiane Panina
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 305:232-250
An Alexander self-dual complex gives rise to a compactification of $${{\cal M}_{0,n}}$$ , called an ASD compactification, which is a smooth algebraic variety. ASD compactifications include (but are not exhausted by) the polygon spaces, or the configu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c89c906b6ea7cc46ff2b3dbf4cb9b3b
https://doi.org/10.1134/s0081543819030131
https://doi.org/10.1134/s0081543819030131
Autor:
Gaiane Panina, Rade Živaljević
We prove several results addressing the envy-free division problem in the presence of an unpredictable (secretive) player, called the "dragon". There are two basic scenarios. 1. There are $r-1$ players and a dragon. Once the "cake" is divided into $r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64a4b41523722c5dc923675db4c7a499
Publikováno v:
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 60:1-15
We describe the configuration space $$\mathbf {S}$$ of polygons with prescribed edge slopes, and study the perimeter $${\mathcal {P}}$$ as a Morse function on $$\mathbf {S}$$ . We characterize critical points of $${\mathcal {P}}$$ (these are tangenti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98af53c35687b32bf22bdad8fd64499d
https://doi.org/10.1007/s13366-018-0409-3
https://doi.org/10.1007/s13366-018-0409-3
Autor:
Gaiane Panina
Publikováno v:
St. Petersburg Mathematical Journal. 29:469-474
We show that an appropriate generalization of the oriented area function is a perfect Morse function on the space of three-dimensional configurations of an equilateral polygonal linkage with odd number of edges. Therefore cyclic equilateral polygons
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e5c5414add731aa1d4331ed92a96f76
https://doi.org/10.1090/spmj/1503
https://doi.org/10.1090/spmj/1503
Autor:
Gaiane Panina
Publikováno v:
Journal of Mathematical Sciences. 224:335-338
It is known that taken together, all collections of nonintersecting diagonals in a convex planar n-gon give rise to a (combinatorial type of a) convex (n − 3)-dimensional polytope As n called the Stasheff polytope, or associahedron. In the paper, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::46dfc39585b6eb7e9916fbbdfe83d1ee
https://doi.org/10.1007/s10958-017-3418-0
https://doi.org/10.1007/s10958-017-3418-0
Autor:
Gaiane Panina
Universality theorems (in the sense of N. Mn\"{e}v) claim that the realization space of a combinatorial object (a point configuration, a hyperplane arrangement, a convex polytope, etc.) can be arbitrarily complicated. In the paper, we prove a univers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::860e7db747df7b19a4476137fca552ca
http://arxiv.org/abs/1902.07212
http://arxiv.org/abs/1902.07212