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Сходимость по Чезаро сферических средних для сохраняющих меру действий марковских групп и полугрупп
Успехи математических наук. 2011. Т. 66. № 3. С. 203-204.
Khristoforov M., Klimenko A. V., Bufetov A. I., International Mathematics Research Notices 2012 No. 21 P. 4797-4829
Cesaro convergence of spherical averages is proven for measurepreserving actions of Markov semigroups and groups. Convergence in the mean is established for functions in Lp, 1 p < 1, and pointwise convergence for functions in L1. In particular, for measure-preserving actions of word hyperbolic groups (in the sense of Gromov) we obtain Cesaro convergence ...
Added: November 16, 2012
Klimenko A. V., Bufetov A. I., Труды Математического института им. В.А. Стеклова РАН 2012 Т. 277 С. 33-48
Устанавливается сходимость почти всюду средних по Чезаро сферических средних произвольной функции из класса L^p, p>1, для действий марковских полугрупп, и в частности конечно порожденных гиперболических групп. ...
Added: February 13, 2013
Filimonov D., Клепцын В. А., Nonlinearity 2014 Vol. 27 No. 6 P. 1205-1223
We study possible one-end finitely presented subgroups of <img />, acting without finite orbits. Our main result, theorem 1, establishes that any such action possesses the so-called property (<img />), that allows one to make distortion-controlled expansion and is thus sufficient to conclude that the action is Lebesgue-ergodic. We also propose a path towards full ...
Added: October 23, 2014
Ebeling W., Gusein-Zade S., Pure and Applied Mathematics Quarterly 2020 Vol. 16 No. 4 P. 1099-1113
In the framework of constructing mirror symmetric pairs of Calabi-Yau manifolds, P.Berglund, T.Hubsch and M.Henningson considered a pair (f,G) consisting of an invertible polynomial f and a finite abelian group G of its diagonal symmetries and associated to this pair a dual pair (f~, G~). A.Takahashi suggested a generalization of this construction to pairs (f, ...
Added: February 3, 2021
Bufetov A. I., Klimenko A. V., Series C., Mathematics Research Reports (publisher: MathOA, Netherlands) 2020 Vol. 1 P. 5-14
The main result of this note is the pointwise convergence of spherical averages for measure-preserving actions of Fuchsian groups. The proof relies on a new self-inverse Markovian symbolic coding for Fuchsian groups and the method of Markov operators. ...
Added: October 26, 2020
Gusein-Zade S., Функциональный анализ и его приложения 2018 Т. 52 № 2 С. 78-81
Let G be a finite Abelian group acting (linearly) on space ℝn and, therefore, on its complexification ℂn, and let W be the real part of the quotient ℂn/G (in the general case, W ≠ ℝn/G). The index of an analytic 1-form on the space W is expressed in terms of the signature of the ...
Added: October 27, 2020
Kleptsyn V., Alvarez S., Malicet D. et al., / Cornell University. Series math "arxiv.org". 2015.
Added: June 22, 2016
Gusein-Zade S., Математические заметки 2020 Т. 107 № 6 С. 855-864
V.I.Arnold has classified simple (i.e., having no moduli for the classification) singularities (function germs), and also simple boundary singularities: function germs invariant with respect to the action σ (x1; y1, …, yn) = (−x1; y1, …, yn) of the group ℤ2. In particular, it was shown that a function germ (a boundary singularity germ) is ...
Added: October 27, 2020
Alvarez S., Filimonov D., Kleptsyn V. et al., Journal of Topology 2019 Vol. 12 No. 4 P. 1315-1367
This article is inspired by two milestones in the study of non-minimal group actions on the circle: Duminy's theorem about the number of ends of semi-exceptional leaves, and Ghys' freeness result in real-analytic regularity. Our first result concerns groups of real-analytic diffeomorphisms with infinitely many ends: if the action is non expanding, then the group ...
Added: July 13, 2019
Gusein-Zade S., Manuscripta Mathematica 2018 Vol. 155 No. 3-4 P. 335-353
For a germ of a quasihomogeneous function with an isolated critical point at the origin invariant with respect to an appropriate action of a finite abelian group, H. Fan, T. Jarvis, and Y. Ruan defined the so-called quantum cohomology group. It is considered as the main object of the quantum singularity theory (FJRW-theory). We define ...
Added: October 27, 2020
Bufetov A. I., Romaskevich O. L., Bowen L., Geometriae Dedicata 2016 Vol. 181 No. 1 P. 293-306
Mean convergence of Markovian spherical averages is established for a measure-preserving action of a finitely-generated free group on a probability space. We endow the set of generators with a generalized Markov chain and establish the mean convergence of resulting spherical averages in this case under mild nondegeneracy assumptions on the stochastic matrix (Formula presented.) defining ...
Added: July 7, 2016
Gusein-Zade S., Journal of Algebra and its Applications 2018 Vol. 17 No. 10 P. 1-13
In a previous paper, the authors defined an equivariant version of the so-called Saito duality between the monodromy zeta functions as a sort of Fourier transform between the Burnside rings of an abelian group and of its group of characters. Here, a so-called enhanced Burnside ring Bˆ(G) of a finite group G is defined. An ...
Added: October 27, 2020
Gusein-Zade S., Mathematische Nachrichten 2018 Vol. 291 No. 17-18 P. 2543-2556
Let a finite abelian group G act (linearly) on the space R^n and thus on its complexification C^n. Let W be the real part of the quotient C^n/G (in general W \neq R^n/G). We give an algebraic formula for the radial index of a 1-form \omega on the real quotient W. It is shown that ...
Added: October 27, 2020
Ebeling W., Gusein-Zade S., International Mathematics Research Notices 2021 Vol. 2021 No. 16 P. 12305-12329
A.Takahashi suggested a conjectural method to find mirror symmetric pairs consisting of invertible polynomials and symmetry groups generated by some diagonal symmetries and some permutations of variables. Here we generalize the Saito duality between Burnside rings to a case of non-abelian groups and prove a "non-abelian" generalization of the statement about the equivariant Saito duality ...
Added: August 26, 2021
Gusein-Zade S., Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 2020 Vol. 16 No. 051 P. 1-15
P. Berglund, T. Hübsch, and M. Henningson proposed a method to construct mirror symmetric Calabi–Yau manifolds. They considered a pair consisting of an invertible polynomial and of a finite (abelian) group
of its diagonal symmetries together with a dual pair. A. Takahashi suggested a method to generalize this construction to symmetry groups generated by some diagonal ...
Added: October 27, 2020
Gusein-Zade S., Раух А. Я., Функциональный анализ и его приложения 2021 Т. 55 № 1 С. 56-64
V.I.Arnold classified simple (i.e. having no moduli for the classification) singularities (function germs) and also simple boundary singularities: function germs invariant with respect to the action
σ(x1;y1,…,yn)=(−x1;y1,…,yn) of the group Z2. In particular, it was shown that a function germ (a germ of a boundary singularity) is simple if and only if the intersection form (respectively, ...
Added: February 3, 2021
V. L. Popov, Izvestiya: Mathematics, England 2019 Vol. 83 No. 4 P. 830-859
The first group of results of this paper concerns the compressibility of finite subgroups of the Cremona groups. The second concerns the embeddability of other groups in the Cremona groups and, conversely, the Cremona groups in
other groups. The third concerns the connectedness of the Cremona groups. ...
Added: September 29, 2019
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
М. : МИЭМ НИУ ВШЭ, 2013
The materials of The Second International Scientific – Practical Conference is presented below. The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.
Digest of Conference materials is presented in 4 parts. It is interesting for a wide range of researchers, teachers, graduate ...
Added: April 18, 2013
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013
Кусова А. Т., Вестник Северо-Осетинского государственного университета имени Коста Левановича Хетагурова 2010 № 3 С. 107-112
Таксономии - это наборы категорий, которые применяются для организации данных. В российской практике они более известны как каталоги, классификаторы, номенклаторы. Таксономия задает иерархическую структуру категорий. Корпоративная таксономия представляет собой попытку классифицировать и уложить в одну структуру практически всю информацию в компании. Построение таксономии, охватывающей всё предприятие, обещает многочисленные выгоды. О том, как структурировать с их ...
Added: October 31, 2012
Таганрог : Изд-во НОЦ ЗИС КТ Южного федерального университета, 2015
Сборник подготовлен по результатам проведения Всероссийской молодежной школы семинара «Актуальные проблемы информационных технологий, электроники и радиотехники - 2015» (ИТЭР - 2015). В сборник включены материалы лучших научных статей молодых ученых, аспирантов, магистрантов, студентов, сотрудников образовательных и научных организаций, участников всероссийской молодежной школы семинара «Актуальные проблемы информационных технологий, электроники и радиотехники – 2015». Всероссийская молодежная школа ...
Added: February 19, 2016
Goldengorin B. I., Krushinsky D., Slomp J., Operations Research 2012 Vol. 60 No. 5 P. 1526-5463
Lately, the problem of cell formation (CF) has gained a lot of attention in the industrial engineering literature. Since it was formulated (more than 50 years ago), the problem has incorporated additional industrial factors and constraints while its solution methods have been constantly improving in terms of the solution quality and CPU times. However, despite ...
Added: November 13, 2012
M. : HSE, 2014
The materials of The Third International Scientific-Practical Conference is presented below. The Conference reflects the modern state of innovation in education, science, industry and social-economic sphere, from the standpoint of introducing new information technologies.
Digest of Conference materials is presented in 3 parts. It is interesting for a wide range of researchers, teachers, graduate students and ...
Added: April 18, 2014