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2019-20 MATRIX Annals最新文献

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The Levine-Tristram Signature: A Survey 莱文-崔斯特瑞姆签名:调查
Pub Date : 2019-03-11 DOI: 10.1007/978-3-030-62497-2_2
Anthony Conway
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引用次数: 19
Automatic sequences are orthogonal to aperiodic multiplicative functions 自动序列与非周期乘法函数是正交的
Pub Date : 2018-11-01 DOI: 10.3934/dcds.2020260
M. Lema'nczyk, C. Mullner
Given a finite alphabet $mathbb{A}$ and a primitive substitution $theta:mathbb{A}tomathbb{A}^lambda$ (of constant length $lambda$), let $(X_theta,S)$ denote the corresponding dynamical system, where $X_{theta}$ is the closure of the orbit via the left shift $S$ of a fixed point of the natural extension of $theta$ to a self-map of $mathbb{A}^{mathbb{Z}}$. The main result of the paper is that all continuous observables in $X_{theta}$ are orthogonal to any bounded, aperiodic, multiplicative function $mathbf{u}:mathbb{N}tomathbb{C}$, i.e. [ lim_{Ntoinfty}frac1Nsum_{nleq N}f(S^nx)mathbf{u}(n)=0] for all $fin C(X_{theta})$ and $xin X_{theta}$. In particular, each primitive automatic sequence, that is, a sequence read by a primitive finite automaton, is orthogonal to any bounded, aperiodic, multiplicative function.
给定一个有限字母$mathbb{A}$和一个原始替换$theta:mathbb{A}tomathbb{A}^lambda$(长度恒定$lambda$),让$(X_theta,S)$表示相应的动力系统,其中$X_{theta}$是轨道的闭包,通过将$theta$的自然扩展的不动点向左移动$S$到$mathbb{A}^{mathbb{Z}}$的自映射。本文的主要结果是$X_{theta}$中所有的连续可观测值与任何有界的、非周期的、乘法函数$mathbf{u}:mathbb{N}tomathbb{C}$正交,即对于所有的$fin C(X_{theta})$和$xin X_{theta}$都是[ lim_{Ntoinfty}frac1Nsum_{nleq N}f(S^nx)mathbf{u}(n)=0]。特别地,每个原始自动序列,即由原始有限自动机读取的序列,与任何有界的、非周期的、乘法函数正交。
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引用次数: 15
The New Frontier of Network Physiology: Emerging Physiologic States in Health and Disease from Integrated Organ Network Interactions 网络生理学的新前沿:从综合器官网络相互作用中出现的健康和疾病的生理状态
Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-62497-2_12
P. Ivanov, Jilin W. J. L. Wang, Xiyun Zhang, Bolun Chen
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引用次数: 8
Effect of Adiabatic Index on Richtmyer-Meshkov Flows Induced by Strong Shocks 绝热指数对强激波诱导richhtmyer - meshkov流动的影响
Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-62497-2_18
C. E. Wright, S. Abarzhi
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引用次数: 1
Correction to: A priori bounds for the kinetic DNLS 修正:动力学DNLS的先验边界
Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-62497-2_64
Nobu Kishimoto, Y. Tsutsumi
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引用次数: 0
Extended symmetry groups of multidimensional subshifts with hierarchical structure 具有层次结构的多维子位移扩展对称群
Pub Date : 1900-01-01 DOI: 10.3934/dcds.2020250
Álvaro Bustos
In this contribution, we discuss the automorphism group, i.e., the centralizer of the shift action inside the group of self-homeomorphisms of a subshift, together with the extended symmetry group (the corresponding normalizer) of certain Zd subshifts with a hierarchical structure, like bijective substitutive subshifts and the Robinson tiling.
在这篇论文中,我们讨论了自同构群,即子位移的自同胚群内位移作用的中心化器,以及具有层次结构的某些Zd子位移的扩展对称群(相应的正则化器),如双射替换子位移和Robinson平铺。
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引用次数: 5
Influence of an oblique magnetic field on planar flame front instability 斜磁场对平面火焰锋面不稳定性的影响
Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-62497-2_26
Mako Sato, Y. Fukumoto
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引用次数: 0
Doubly Sparse Measures on Locally Compact Abelian Groups 局部紧阿贝尔群上的双稀疏测度
Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-62497-2_56
Venta Terauds
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引用次数: 0
The Mean-Median Map 均值-中位数图
Pub Date : 1900-01-01 DOI: 10.1007/978-3-030-62497-2_57
F. Vivaldi
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引用次数: 0
期刊
2019-20 MATRIX Annals
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