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Cesàro Convergence of Spherical Averages for Measure-Preserving Actions of Markov Semigroups and Groups
International Mathematics Research Notices. 2012. No. 21. P. 4797-4829.
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
Bufetov A. I., Klimenko A. V., Христофоров М. И., Успехи математических наук 2011 Т. 66 № 3 С. 203-204
В данной статье нами формулируется теорема о сходимости по Чезаро (в смысле L^p и почти всюду) сферических средних для сохраняющих меру действий марковских групп. ...
Added: February 13, 2013
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
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., 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
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., 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
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
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
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
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
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., 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
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
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
Леенсон Е. И., Большой город 2012
Учитель математики Герман Григорьевич Левитас о том, зачем детям математика, методах преподавания, нестандартных задачах и как важно быть собой. ...
Added: October 12, 2017
Волгоград : Учитель, 2014
Современный мир (Мир-Система) переживает бурный период изменений, трансформаций и реконфигураций. Понять причины и направленность этих изменений - важнейшая задача общественной науки. Исторические и современные события показывают, что циклы, порождающие ловушки и кризисы, яыляются важнейшей формой движения социальной эволюции. Существуют разные типы ловущек исторического процесса. Типичными являются мальтузианская, связанная с ограниченностью экологической среды, когда демографический рост ...
Added: June 9, 2014
Ornea L., Verbitsky M., Mathematical Research Letters 2011 Vol. 18 No. 4 P. 747-754
The Oeljeklaus-Toma (OT-) manifolds are complex manifolds constructed by Oeljeklaus and Toma from certain number fields, and generalizing the Inoue surfaces Sm. On each OT-manifold we construct a holomorphic line bundle with semipositive curvature form !0 and trivial Chern class. Using this form, we prove that the OT-manifolds admitting a locally conformally K¨ahler structure have ...
Added: October 12, 2012
Yurashev V. V., Sales Business 2007 № 11 С. 100-101
Эффективность компании по продвижению товара традиционно принято измерять, проводя дорогостоящие маркетинговые исследования. Однако это можно делать и с помощью чистой математики ...
Added: March 24, 2013
Adamovich A. M., Rybnikov G. L., Transformation Groups 1996 Vol. 1 No. 1-2 P. 1-33
We use the theory of tilting modules for algebraic groups to propose a characteristic free approach to "Howe duality" in the exterior algebra. To any series of classical groups (general linear, symplectic, orthogonal, or spinor) over an algebraically closed field k, we set in correspondence another series of classical groups (usually the same one). Denote ...
Added: October 12, 2012
Berlin, Heidelberg : Springer, 2012
This book constitutes the refereed proceedings of the 12th Industrial Conference on Data Mining, ICDM 2012, held in Berlin, Germany in July 2012. The 22 revised full papers presented were carefully reviewed and selected from 97 submissions. The papers are organized in topical sections on data mining in medicine and biology; data mining for energy ...
Added: December 3, 2012
Сумы : СумДу, 2014
Сумской государственный университет: Апрель 16, 2012 – Апрель 21, 2012
Факультет ЭлИТ. Конференция "Информатика, Математика, Автоматика" проводится на базе Сумского государственного университета. Конференция зарегистрирована у УкрЦНТЭИ как межвузовская. ...
Added: November 1, 2014
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