Dissertationes Mathematicae最新文献_第6页

Cardinal invariants for $kappa$-box products: weight, density character and Suslin number $kappa$-box乘积的基数不变量:权值、密度特征和Suslin数

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2016-01-01 DOI: 10.4064/DM748-2-2016

W. Comfort, I. Gotchev

引用次数: 2

On convergence in distribution of the Markov chain generated by the filter kernel induced by a fully dominated Hidden Markov Model 全支配隐马尔可夫模型诱导的滤波核生成的马尔可夫链分布的收敛性

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2016-01-01 DOI: 10.4064/dm739-9-2015

Thomas Kaijser

{"title":"On convergence in distribution of the Markov chain generated by the filter kernel induced by a fully dominated Hidden Markov Model","authors":"Thomas Kaijser","doi":"10.4064/dm739-9-2015","DOIUrl":"https://doi.org/10.4064/dm739-9-2015","url":null,"abstract":"Consider a Hidden Markov Model (HMM) such that both the state space and the observation space are complete, separable, metric spaces and for which both the transition probability function (tr.pr.f.) determining the hidden Markov chain of the HMM and the tr.pr.f. determining the observation sequence of the HMM have densities. Such HMMs are called fully dominated. In this paper we consider a subclass of fully dominated HMMs which we call regular. A fully dominated, regular HMM induces a tr.pr.f. on the set of probability density functions on the state space which we call the filter kernel induced by the HMM and which can be interpreted as the Markov kernel associated to the sequence of conditional state distributions. We show that if the underlying hidden Markov chain of the fully dominated, regular HMM is strongly ergodic and a certain coupling condition is fulfilled, then, in the limit, the distribution of the conditional distribution becomes independent of the initial distribution of the hidden Markov chain and, if also the hidden Markov chain is uniformly ergodic, then the distributions tend towards a limit distribution. In the last part of the paper, we present some more explicit conditions, implying that the coupling condition mentioned above is satisfied.","PeriodicalId":51016,"journal":{"name":"Dissertationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70156971","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: 2

Sur des inégalités intégrales et applications à la stabilité de quelques systèmes distribués non dissipatifs 积分不等式及其对一些非耗散分布式系统稳定性的应用

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2015-01-01 DOI: 10.4064/DM506-0-1

A. Guesmia

引用次数: 0

Local free boundary problem for incompressible magnetohydrodynamics 不可压缩磁流体力学的局部自由边界问题

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2015-01-01 DOI: 10.4064/DM509-0-1

P. Kacprzyk

引用次数: 3

Breaking the curse of dimensionality 打破维度的诅咒

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2015-01-01 DOI: 10.4064/DM505-0-1

Markus Weimar

引用次数: 37

Boundary value problems and singular integral equations on Banach function spaces Banach函数空间上的边值问题与奇异积分方程

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2015-01-01 DOI: 10.4064/DM742-12-2015

E. Rojas

引用次数: 0

Functional equations stemming from numerical analysis 源于数值分析的泛函方程

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2015-01-01 DOI: 10.4064/DM508-0-1

T. Szostok

引用次数: 5

Toric varieties in phylogenetics 系统发育上的环粉品种

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2015-01-01 DOI: 10.4064/DM511-0-1

M. Michałek

引用次数: 8

Free algebras and noncommutative power series in the analysis of nonlinear control systems: an application to approximation problems 非线性控制系统分析中的自由代数与非交换幂级数:在近似问题中的应用

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2014-01-01 DOI: 10.4064/DM504-0-1

G. Sklyar, S. Ignatovich

引用次数: 6

Multilinear analysis on metric spaces 度量空间的多线性分析

IF 1.8 3区数学

Dissertationes Mathematicae Pub Date : 2014-01-01 DOI: 10.4064/DM497-0-1

L. Grafakos, Liguang Liu, Diego Maldonado, Dachun Yang

{"title":"Multilinear analysis on metric spaces","authors":"L. Grafakos, Liguang Liu, Diego Maldonado, Dachun Yang","doi":"10.4064/DM497-0-1","DOIUrl":"https://doi.org/10.4064/DM497-0-1","url":null,"abstract":"The multilinear Calderón–Zygmund theory is developed in the setting of RD-spaces which are spaces of homogeneous type equipped with measures satisfying a reverse doubling condition. The multiple-weight multilinear Calderón–Zygmund theory in this context is also developed in this work. The bilinear T1-theorems for Besov and Triebel–Lizorkin spaces in the full range of exponents are among the main results obtained. Multilinear vector-valued T1 type theorems on Lebesgue spaces, Besov spaces, and Triebel–Lizorkin spaces are also proved. Applications include the boundedness of paraproducts and bilinear multiplier operators on products of Besov and Triebel–Lizorkin spaces. Acknowledgements. Loukas Grafakos is supported by grant DMS 0900946 of the National Science Foundation of the USA. Liguang Liu is supported by the National Natural Science Foundation of China (grant No. 11101425). Diego Maldonado is supported by grant DMS 0901587 of the National Science Foundation of the USA. Dachun Yang (the corresponding author) is supported by the National Natural Science Foundation of China (grant nos. 11171027 & 11361020) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (grant No. 20120003110003). All authors would like to thank the copy editor, Jerzy Trzeciak, for his valuable remarks which made this article more readable. 2010 Mathematics Subject Classification: Primary 42B20, 42B25, 42B35; Secondary 35S50, 42C15, 47G30, 30L99.","PeriodicalId":51016,"journal":{"name":"Dissertationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4064/DM497-0-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70157222","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: 53