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A hyperbolicity criterion for a class of diffeomorphisms of an infinite-dimensional torus 一类无限维环面微分同态的双曲性判据
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2022-01-01 DOI: 10.1070/SM9535
S. Glyzin, A. Kolesov
{"title":"A hyperbolicity criterion for a class of diffeomorphisms of an infinite-dimensional torus","authors":"S. Glyzin, A. Kolesov","doi":"10.1070/SM9535","DOIUrl":"https://doi.org/10.1070/SM9535","url":null,"abstract":"On an infinite-dimensional torus , where is an infinite-dimensional real Banach space and is an abstract integer lattice, a special class of diffeomorphisms is considered. It consists of the maps equal to sums of invertible bounded linear operators preserving and -smooth periodic additives. Necessary and sufficient conditions ensuring that such maps are hyperbolic (that is, are Anosov diffeomorphisms) are obtained. Bibliography: 15 titles.","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77901160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls 聚合物流体在带孔壁面通道中固定流动的Lyapunov不稳定性
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2022-01-01 DOI: 10.1070/SM9507
A. Blokhin, D. Tkachev
{"title":"Lyapunov instability of stationary flows of a polymeric fluid in a channel with perforated walls","authors":"A. Blokhin, D. Tkachev","doi":"10.1070/SM9507","DOIUrl":"https://doi.org/10.1070/SM9507","url":null,"abstract":"The rheological Pokrovskii-Vinogradov model for flows of solutions or melts of an incompressible viscoelastic polymeric medium is studied in the case of flows in an infinite planar channel with perforated walls. The linear Lyapunov instability is proved for the base solution with constant flow rate in the class of perturbations periodic in the variable varying along the channel wall. Bibliography: 14 titles.","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81966364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A Chisini Theorem for almost generic covers of the projective plane 关于投影平面几乎一般覆盖的一个奇西尼定理
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2022-01-01 DOI: 10.1070/SM9568
V. Kulikov
{"title":"A Chisini Theorem for almost generic covers of the projective plane","authors":"V. Kulikov","doi":"10.1070/SM9568","DOIUrl":"https://doi.org/10.1070/SM9568","url":null,"abstract":"Results related to Chisini’s Conjecture and contained in (Izv. Math. 63:6 (1999), 1139–1170) and (Izv. Math. 65:1 (2001), 71–74) are extended to the case of almost generic covers of the projective plane. Bibliography: 11 titles.","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87109204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Asymptotics of the sphere and front of a flat sub-Riemannian structure on the Martinet distribution 马提尼特分布下平面亚黎曼结构的球面和前沿的渐近性
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2022-01-01 DOI: 10.1070/sm9560
I. Bogaevsky
{"title":"Asymptotics of the sphere and front of a flat sub-Riemannian structure on the Martinet distribution","authors":"I. Bogaevsky","doi":"10.1070/sm9560","DOIUrl":"https://doi.org/10.1070/sm9560","url":null,"abstract":"","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85402151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Extremal functional -interpolation on an arbitrary mesh on the real axis 在实轴上任意网格上的极值函数插值
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2022-01-01 DOI: 10.1070/SM9628
Yu. N. Subbotin, V. T. Shevaldin
{"title":"Extremal functional -interpolation on an arbitrary mesh on the real axis","authors":"Yu. N. Subbotin, V. T. Shevaldin","doi":"10.1070/SM9628","DOIUrl":"https://doi.org/10.1070/SM9628","url":null,"abstract":"The Golomb-de Boor problem of extremal interpolation of infinite real sequences with smallest -norm of the th derivative of the interpolant, , on an arbitrary mesh on the real axis is studied under constraints on the norms of the corresponding divided differences. For this smallest norm, lower estimates are obtained for any in terms of -splines. For the second derivative, this quantity is estimated from below and above by constants depending on the parameter . Bibliography: 13 titles.","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79864541","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the cohomology rings of partially projective quaternionic Stiefel manifolds 部分射影四元数Stiefel流形的上同调环
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2022-01-01 DOI: 10.1070/SM9601
G. E. Zhubanov, F. Y. Popelenskii
{"title":"On the cohomology rings of partially projective quaternionic Stiefel manifolds","authors":"G. E. Zhubanov, F. Y. Popelenskii","doi":"10.1070/SM9601","DOIUrl":"https://doi.org/10.1070/SM9601","url":null,"abstract":"The quaternionic Stiefel manifold is the total space of a fibre bundle over the corresponding Grassmannian . The group acts freely on the fibres of this bundle. The quotient space is called the quaternionic projective Stiefel manifold. Its real and complex analogues were actively studied earlier by a number of authors. A finite group acting freely on the three-dimensional sphere also acts freely and discretely on the fibres of the quaternionic Stiefel bundle. The corresponding quotient spaces are called partially projective Stiefel manifolds. The cohomology rings of partially projective quaternionic Stiefel manifolds with coefficients in , where is prime, are calculated. Bibliography: 14 titles.","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89631799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of solutions of nonlinear elliptic equations with measure data in Musielak-Orlicz spaces Musielak-Orlicz空间中测量数据非线性椭圆方程解的存在性
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2022-01-01 DOI: 10.1070/SM9632
A. P. Kashnikova, L. M. Kozhevnikova
{"title":"Existence of solutions of nonlinear elliptic equations with measure data in Musielak-Orlicz spaces","authors":"A. P. Kashnikova, L. M. Kozhevnikova","doi":"10.1070/SM9632","DOIUrl":"https://doi.org/10.1070/SM9632","url":null,"abstract":"A second-order quasilinear elliptic equation with a measure of special form on the right-hand side is considered. Restrictions on the structure of the equation are imposed in terms of a generalized -function such that the conjugate function obeys the -condition and the corresponding Musielak-Orlicz space is not necessarily reflexive. In an arbitrary domain satisfying the segment property, the existence of an entropy solution of the Dirichlet problem is proved. It is established that this solution is renormalized. Bibliography: 29 titles.","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74842301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space 球面空间正四面体上简单封闭测地线存在的充分必要条件
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2022-01-01 DOI: 10.1070/SM9576
A. Borisenko
{"title":"A necessary and sufficient condition for the existence of simple closed geodesics on regular tetrahedra in spherical space","authors":"A. Borisenko","doi":"10.1070/SM9576","DOIUrl":"https://doi.org/10.1070/SM9576","url":null,"abstract":"A necessary and sufficient condition is obtained for the existence of a simple closed geodesic of type on a regular tetrahedron in spherical space. Bibliography: 6 titles.","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89171503","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Slide polynomials and subword complexes 滑动多项式和子词复合体
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2021-12-14 DOI: 10.1070/sm9477
E. Yu. Smirnov, A. A. Tutubalina
{"title":"Slide polynomials and subword complexes","authors":"E. Yu. Smirnov, A. A. Tutubalina","doi":"10.1070/sm9477","DOIUrl":"https://doi.org/10.1070/sm9477","url":null,"abstract":"<p> Subword complexes were defined by Knutson and Miller in 2004 to describe Grbner degenerations of matrix Schubert varieties. Subword complexes of a certain type are called pipe dream complexes. The facets of such a complex are indexed by pipe dreams, or, equivalently, by monomials in the corresponding Schubert polynomial. In 2017 Assaf and Searles defined a basis of slide polynomials, generalizing Stanley symmetric functions, and described a combinatorial rule for expanding Schubert polynomials in this basis. We describe a decomposition of subword complexes into strata called slide complexes. The slide complexes appearing in such a way are shown to be homeomorphic to balls or spheres. For pipe dream complexes, such strata correspond to slide polynomials. </p>\u0000<p> Bibliography: 14 titles. </p>","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138507497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Jordan property for groups of bimeromorphic automorphisms of compact Kähler threefolds 紧的双纯自同构群Kähler三叠的Jordan性质
IF 0.8 4区 数学
Sbornik Mathematics Pub Date : 2021-12-05 DOI: 10.4213/sm9743e
A. Golota
{"title":"Jordan property for groups of bimeromorphic automorphisms of compact Kähler threefolds","authors":"A. Golota","doi":"10.4213/sm9743e","DOIUrl":"https://doi.org/10.4213/sm9743e","url":null,"abstract":"Let $X$ be a non-uniruled compact K\"ahler space of dimension 3. We show that the group of bimeromorphic automorphisms of $X$ is Jordan. More generally, the same result holds for any compact K\"ahler space admitting a quasi-minimal model.","PeriodicalId":49573,"journal":{"name":"Sbornik Mathematics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2021-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83343415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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