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Categorically related topologies and hemimetrical analogues of the Baire and Kenderov theorems 分类相关拓扑学以及巴雷定理和肯德洛夫定理的半圆类似物
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02197-1
O. Maslyuchenko
{"title":"Categorically related topologies and hemimetrical analogues of the Baire and Kenderov theorems","authors":"O. Maslyuchenko","doi":"10.1007/s00025-024-02197-1","DOIUrl":"https://doi.org/10.1007/s00025-024-02197-1","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141341695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Existence and Uniqueness of Stationary Distributions for Some Piecewise Deterministic Markov Processes with State-Dependent Jump Intensity 论具有状态相关跃迁强度的某些片断确定性马尔可夫过程的静态分布的存在性和唯一性
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02195-3
Dawid Czapla
{"title":"On the Existence and Uniqueness of Stationary Distributions for Some Piecewise Deterministic Markov Processes with State-Dependent Jump Intensity","authors":"Dawid Czapla","doi":"10.1007/s00025-024-02195-3","DOIUrl":"https://doi.org/10.1007/s00025-024-02195-3","url":null,"abstract":"<p>In this paper, we consider a subclass of piecewise deterministic Markov processes with a Polish state space that involve a deterministic motion punctuated by random jumps, occurring in a Poisson-like fashion with some state-dependent rate, between which the trajectory is driven by one of the given semiflows. We prove that there is a one-to-one correspondence between stationary distributions of such processes and those of the Markov chains given by their post-jump locations. Using this result, we further establish a criterion guaranteeing the existence and uniqueness of the stationary distribution in a particular case, where the post-jump locations result from the action of a random iterated function system with an arbitrary set of transformations.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141532216","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Counterexample to Barcilon’s Uniqueness Theorem for the Fourth-Order Inverse Spectral Problem 巴西隆四阶反谱问题唯一性定理的反例
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02208-1
N. Bondarenko
{"title":"Counterexample to Barcilon’s Uniqueness Theorem for the Fourth-Order Inverse Spectral Problem","authors":"N. Bondarenko","doi":"10.1007/s00025-024-02208-1","DOIUrl":"https://doi.org/10.1007/s00025-024-02208-1","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141339230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Lower and Upper Solutions for System of Differential Equations Involving Homeomorphism and Nonlinear Boundary Conditions 涉及同构和非线性边界条件的微分方程系的下解和上解
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02213-4
Jorge Rodríguez–López, K. Szymańska‐Dȩbowska, Miros�awa Zima
{"title":"Lower and Upper Solutions for System of Differential Equations Involving Homeomorphism and Nonlinear Boundary Conditions","authors":"Jorge Rodríguez–López, K. Szymańska‐Dȩbowska, Miros�awa Zima","doi":"10.1007/s00025-024-02213-4","DOIUrl":"https://doi.org/10.1007/s00025-024-02213-4","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141338588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Effective Upper Bound for Huber’s Constant 论胡贝尔常数的有效上限
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02211-6
Muharem Avdispahić
{"title":"On Effective Upper Bound for Huber’s Constant","authors":"Muharem Avdispahić","doi":"10.1007/s00025-024-02211-6","DOIUrl":"https://doi.org/10.1007/s00025-024-02211-6","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141339888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Multi-step Extended Maximum Residual Kaczmarz Method for Solving Large Inconsistent Linear Systems 论求解大型不一致线性系统的多步扩展最大残差 Kaczmarz 法
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02210-7
A.-Qin Xiao, Jun-Feng Yin, Ning Zheng
{"title":"On Multi-step Extended Maximum Residual Kaczmarz Method for Solving Large Inconsistent Linear Systems","authors":"A.-Qin Xiao, Jun-Feng Yin, Ning Zheng","doi":"10.1007/s00025-024-02210-7","DOIUrl":"https://doi.org/10.1007/s00025-024-02210-7","url":null,"abstract":"<p>A multi-step extended maximum residual Kaczmarz method is presented for the solution of the large inconsistent linear system of equations by using the multi-step iterations technique. Theoretical analysis proves the proposed method is convergent and gives an upper bound on its convergence rate. Numerical experiments show that the proposed method is effective and outperforms the existing extended Kaczmarz methods in terms of the number of iteration steps and the computational costs.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141526727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Mappings Preserving Identities Given by Unitaries 保持单元所给同一性的映射
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02215-2
Jiankui Li, Kaijia Luo
{"title":"Mappings Preserving Identities Given by Unitaries","authors":"Jiankui Li, Kaijia Luo","doi":"10.1007/s00025-024-02215-2","DOIUrl":"https://doi.org/10.1007/s00025-024-02215-2","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141339225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Algebraic Entropy of Path Algebras and Leavitt Path Algebras of Finite Graphs 有限图的路径代数熵和 Leavitt 路径代数熵
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02198-0
Wolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero, Cándido Martín González, Iv'an Ruiz Campos, Alfilgen Sebandal
{"title":"Algebraic Entropy of Path Algebras and Leavitt Path Algebras of Finite Graphs","authors":"Wolfgang Bock, Cristóbal Gil Canto, Dolores Martín Barquero, Cándido Martín González, Iv'an Ruiz Campos, Alfilgen Sebandal","doi":"10.1007/s00025-024-02198-0","DOIUrl":"https://doi.org/10.1007/s00025-024-02198-0","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141342150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 and Uniqueness Solutions for Some Strongly Quasilinear Parabolic Problems in Anisotropic Sobolev Spaces 各向异性索波列夫空间中一些强准线性抛物线问题的存在性和唯一性解决方案
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-24 DOI: 10.1007/s00025-024-02191-7
Youssef Hajji, H. Hjiaj
{"title":"Existence and Uniqueness Solutions for Some Strongly Quasilinear Parabolic Problems in Anisotropic Sobolev Spaces","authors":"Youssef Hajji, H. Hjiaj","doi":"10.1007/s00025-024-02191-7","DOIUrl":"https://doi.org/10.1007/s00025-024-02191-7","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141100859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 New One-Point Metric on Ptolemaic Spaces 托勒密空间上的新单点公设
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-24 DOI: 10.1007/s00025-024-02209-0
Xinyu Chen, Xiaohui Zhang
{"title":"A New One-Point Metric on Ptolemaic Spaces","authors":"Xinyu Chen, Xiaohui Zhang","doi":"10.1007/s00025-024-02209-0","DOIUrl":"https://doi.org/10.1007/s00025-024-02209-0","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141100916","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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