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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 Q2 Mathematics
Results in Mathematics
Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02197-1
O. Maslyuchenko
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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 Q1 MATHEMATICS
Results in Mathematics
Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02195-3
Dawid Czapla

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.

在本文中，我们考虑了具有波兰状态空间的片断确定性马尔可夫过程的一个子类，该过程涉及一种确定性运动，其间夹杂着随机跳跃，跳跃以类似泊松的方式发生，并具有某种与状态相关的速率，其间的轨迹由给定的半流之一驱动。我们证明，此类过程的静态分布与由其跳跃后位置给出的马尔可夫链的静态分布之间存在一一对应关系。利用这一结果，我们进一步建立了一个标准，保证了在特定情况下静态分布的存在性和唯一性，在这种情况下，跳跃后位置是由具有任意变换集的随机迭代函数系统作用的结果。
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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 Q2 Mathematics
Results in Mathematics
Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02208-1
N. Bondarenko
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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 Q2 Mathematics
Results in Mathematics
Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02213-4
Jorge Rodríguez–López, K. Szymańska‐Dȩbowska, Miros�awa Zima
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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 Q2 Mathematics
Results in Mathematics
Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02211-6
Muharem Avdispahić
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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 Q1 MATHEMATICS
Results in Mathematics
Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02210-7
A.-Qin Xiao, Jun-Feng Yin, Ning Zheng

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.

本文提出了一种多步扩展最大残差 Kaczmarz 法，利用多步迭代技术求解大型不一致线性方程组。理论分析证明了所提出的方法是收敛的，并给出了其收敛速率的上限。数值实验表明，所提出的方法是有效的，在迭代步数和计算成本方面优于现有的扩展 Kaczmarz 方法。
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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 Q2 Mathematics
Results in Mathematics
Pub Date : 2024-06-14 DOI: 10.1007/s00025-024-02215-2
Jiankui Li, Kaijia Luo
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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 Q1 MATHEMATICS
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
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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 Q2 Mathematics
Results in Mathematics
Pub Date : 2024-05-24 DOI: 10.1007/s00025-024-02191-7
Youssef Hajji, H. Hjiaj
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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 Q2 Mathematics
Results in Mathematics
Pub Date : 2024-05-24 DOI: 10.1007/s00025-024-02209-0
Xinyu Chen, Xiaohui Zhang
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引用次数: 0
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