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Functional Analysis and Its Applications最新文献

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Monte-Carlo Methods for Stochastic Hyper-Matrices and Global Asymptotic Stability of Polynomial Stochastic Operators 随机超矩阵的蒙特卡罗方法及多项式随机算子的全局渐近稳定性
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S1234567826030109
Mansoor Saburov
{"title":"Monte-Carlo Methods for Stochastic Hyper-Matrices and Global Asymptotic Stability of Polynomial Stochastic Operators","authors":"Mansoor Saburov","doi":"10.1134/S1234567826030109","DOIUrl":"10.1134/S1234567826030109","url":null,"abstract":"<p> We study the global stability of polynomial stochastic operators on the probability simplex and analyze their contraction properties. A nonlinear analogue of the Perron–Frobenius theorem is established for some classes of polynomial stochastic operators. We also propose a novel Monte-Carlo method for stochastic hyper-matrices that guarantees the global stability of polynomial stochastic operators at any prescribed stochastic vector. Finally, we establish a nonlinear mean ergodic theorem for some classes of polynomial stochastic operators. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"312 - 318"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098510","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
Disjointly Almost Trivial Unbounded Functionals 离散几乎平凡无界泛函
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S1234567826030110
Konstantin Storozhuk
{"title":"Disjointly Almost Trivial Unbounded Functionals","authors":"Konstantin Storozhuk","doi":"10.1134/S1234567826030110","DOIUrl":"10.1134/S1234567826030110","url":null,"abstract":"<p> We show that on infinite-dimensional function spaces, there exist unbounded functionals that take at most one nonzero value on an arbitrary family of elements whose supports are pairwise disjoint. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"319 - 320"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098511","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 Note on Semi-Orthogonal Decompositions of Derived Categories of Poset Schemes 关于偏序集格式派生范畴的半正交分解的一个注记
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S1234567826030092
Valery Lunts
{"title":"A Note on Semi-Orthogonal Decompositions of Derived Categories of Poset Schemes","authors":"Valery Lunts","doi":"10.1134/S1234567826030092","DOIUrl":"10.1134/S1234567826030092","url":null,"abstract":"<p> We note that the canonical semi-orthogonal decompositions of the derived category of a poset scheme induce similar decompositions of the subcategory of perfect complexes. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"309 - 311"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098515","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
Ergodicity of the Martin Boundary of the Young–Fibonacci Graph Young-Fibonacci图的Martin边界的遍历性
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S1234567826030018
Ivan Bochkov, Vsevolod Evtushevsky
{"title":"Ergodicity of the Martin Boundary of the Young–Fibonacci Graph","authors":"Ivan Bochkov,&nbsp;Vsevolod Evtushevsky","doi":"10.1134/S1234567826030018","DOIUrl":"10.1134/S1234567826030018","url":null,"abstract":"<p> Among central measures on the path space of the Young–Fibonacci lattice, the so-called Plancherel measure, whose ergodicity was proved by Kerov and Gnedin, plays a special role. The goal of this article is to prove the hypothesis of Kerov and Goodman that all other measures on the Martin boundary they described for this graph are also ergodic. The measures are parametrized by an infinite word of digits 1 and 2 and a positive parameter <span>(betale1)</span> (the case <span>(beta=0)</span> corresponds to the Plancherel measure). In this article, we prove the statements which correspond to the cases <span>(beta=1)</span> and <span>(betain (0,1))</span>. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"209 - 227"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098520","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
Some New Examples of Infinite-Type Interval Translation Maps 无限型区间平移映射的几个新例子
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S1234567826030080
Valentin Chernyi
{"title":"Some New Examples of Infinite-Type Interval Translation Maps","authors":"Valentin Chernyi","doi":"10.1134/S1234567826030080","DOIUrl":"10.1134/S1234567826030080","url":null,"abstract":"<p> We give several new examples of infinite-type interval translation maps which do not belong to any class of such maps previously described in the literature. All of our examples are self-similar. We prove that all of these examples are uniquely ergodic and weak mixing, and we also discuss possible generalizations of our constructions. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"294 - 308"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098514","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
Milnor Number of an Invariant Singularity And Equivariantly Stable Germs 不变奇点与等稳定胚芽的米尔诺数
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S1234567826030055
Ivan Proskurnin
{"title":"Milnor Number of an Invariant Singularity And Equivariantly Stable Germs","authors":"Ivan Proskurnin","doi":"10.1134/S1234567826030055","DOIUrl":"10.1134/S1234567826030055","url":null,"abstract":"<p> We prove a lower bound for the Milnor number of a function germ invariant with respect to a finite abelian group action. It is shown that this bound is tight for functions of arbitrarily many variables. We also prove that function germs which attain this lower bound are equivariantly stable, i.e., they are invariant analogues of Morse singularities. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"264 - 269"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098513","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 Continual Family of Disjoint Automorphisms with Lebesgue Spectrum 具有Lebesgue谱的连续不相交自同构族
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S1234567826030067
Valerii Ryzhikov
{"title":"A Continual Family of Disjoint Automorphisms with Lebesgue Spectrum","authors":"Valerii Ryzhikov","doi":"10.1134/S1234567826030067","DOIUrl":"10.1134/S1234567826030067","url":null,"abstract":"<p> We construct a continual family of pairwise disjoint Gaussian automorphisms whose even factors have the same Lebesgue spectrum. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"270 - 275"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098519","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
Invariants of Non-Degenerate CR-Quadrics of CR-Type ((3, 3)) cr型非退化cr -二次曲线的不变量 ((3, 3))
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S1234567826030043
Ilya Zavolokin
{"title":"Invariants of Non-Degenerate CR-Quadrics of CR-Type ((3, 3))","authors":"Ilya Zavolokin","doi":"10.1134/S1234567826030043","DOIUrl":"10.1134/S1234567826030043","url":null,"abstract":"<p> In this paper, we find a maximal set of algebraically independent rational invariants of non-degenerate real model CR-quadrics of CR-type <span>((3, 3))</span>. Using this, we construct holomorphic invariant differential forms on CR-manifolds. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"257 - 263"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098518","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
Decomposable Weak Expectations 可分解的弱期望
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S1234567826030031
Angshuman Bhattacharya, Chaitanya J. Kulkarni
{"title":"Decomposable Weak Expectations","authors":"Angshuman Bhattacharya,&nbsp;Chaitanya J. Kulkarni","doi":"10.1134/S1234567826030031","DOIUrl":"10.1134/S1234567826030031","url":null,"abstract":"<p> In his paper (1973) Lance studied the notion of weak expectations in the setting of direct sums of representations of a <span>(C^*)</span>-algebra. The main purpose of this article is to extend this study to the framework of direct integrals. To achieve this, we introduce a special class of weak expectations for a representation of a separable, unital <span>(C^*)</span>-algebra called decomposable weak expectation. We give necessary and sufficient conditions for such kind of weak expectations to exist for a given representation. Then we define decomposable measures on the state space of a <span>(C^*)</span>-algebra and show that the GNS representation of a state admits a decomposable weak expectation if and only if there is a decomposable measure on the state space. The article concludes with an example of a decomposable weak expectation. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"241 - 256"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098516","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
Rings of Invariants of Three-Dimensional Upper-Triangular Representations Of Finite Groups 有限群的三维上三角表示的不变量环
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2026-10-02 DOI: 10.1134/S123456782603002X
Abdulkadyr Buchaev
{"title":"Rings of Invariants of Three-Dimensional Upper-Triangular Representations Of Finite Groups","authors":"Abdulkadyr Buchaev","doi":"10.1134/S123456782603002X","DOIUrl":"10.1134/S123456782603002X","url":null,"abstract":"<p> The work proves that, for finite three-dimensional upper-triangular groups over a field of odd characteristic generated by pseudoreflections, the maximal unipotent subgroup of which is abelian, the ring of invariants is polynomial if and only if the maximal unipotent subgroup is generated by pseudoreflections or does not contain transvections. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"60 3","pages":"228 - 240"},"PeriodicalIF":0.7,"publicationDate":"2026-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149098517","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
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