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Titlebook: Dirichlet Forms and Related Topics; In Honor of Masatosh Zhen-Qing Chen,Masayoshi Takeda,Toshihiro Uemura Conference proceedings 2022 The E

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發(fā)表于 2025-3-21 17:10:05 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Dirichlet Forms and Related Topics
副標(biāo)題In Honor of Masatosh
編輯Zhen-Qing Chen,Masayoshi Takeda,Toshihiro Uemura
視頻videohttp://file.papertrans.cn/281/280746/280746.mp4
概述Celebrates Masatoshi Fukushima‘s mathematical contributions on the occasion of his 88th birthday.Presents recent progress in modern probability theory.Contains 27 peer-reviewed invited papers from lea
叢書名稱Springer Proceedings in Mathematics & Statistics
圖書封面Titlebook: Dirichlet Forms and Related Topics; In Honor of Masatosh Zhen-Qing Chen,Masayoshi Takeda,Toshihiro Uemura Conference proceedings 2022 The E
描述This conference proceeding contains 27 peer-reviewed invited papers from leading experts as well as young researchers all over the world in the related fields that Professor Fukushima has made important contributions to.?.These 27 papers cover a wide range of topics in probability theory, ranging from Dirichlet form theory, Markov processes, heat kernel estimates, entropy on Wiener spaces, analysis on fractal spaces, random spanning tree and Poissonian loop ensemble, random Riemannian geometry, SLE, space-time partial differential equations of higher order, infinite particle systems, Dyson model, functional inequalities, branching process, to machine learning and Hermitizable problems for complex matrices. Researchers and graduate students interested in these areas will find this book?appealing.?.
出版日期Conference proceedings 2022
關(guān)鍵詞Probability Theory; Markov Process; Conference Proceedings; Stochastic Analysis; Stochastic Differential
版次1
doihttps://doi.org/10.1007/978-981-19-4672-1
isbn_softcover978-981-19-4674-5
isbn_ebook978-981-19-4672-1Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:02:42 | 只看該作者
板凳
發(fā)表于 2025-3-22 01:19:33 | 只看該作者
,Hermitizable, Isospectral Matrices or?Differential Operators,of a positive measure such that the operator becomes Hermitian on the space of complex square-integrable functions with respect to the measure. In which case, the spectrum are real, and the corresponding isospectral matrix/differntial operators are described. The problems have a deep connection to c
地板
發(fā)表于 2025-3-22 08:38:06 | 只看該作者
5#
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發(fā)表于 2025-3-22 15:44:10 | 只看該作者
Doob Decomposition, Dirichlet Processes, and Entropies on Wiener Space,ob decomposition in continuous time, where a square-integrable process is represented as the sum of a martingale and a process with “vanishing local risk”. For a probability measure . on Wiener space, we discuss how entropy conditions on . formulated with respect to Wiener measure . are connected wi
7#
發(fā)表于 2025-3-22 17:41:20 | 只看該作者
,Silverstein Extension and?Fukushima Extension,hlet extension of a Dirichlet form can be decomposed uniquely into a Silverstein extension and a Fukushima extension. Some known results on Fukushima extension of 1-dim Brownian motion are illustrated. It will be explained how the algebraic structure on Dirichlet forms plays a role. While Silverstei
8#
發(fā)表于 2025-3-22 23:09:13 | 只看該作者
,On , Liouville Theorems for?Dirichlet Forms, domain of the . generator. Secondly we prove analogues of Yau’s and Karp’s Liouville theorems for weakly harmonic functions. Both say that weakly harmonic functions which satisfy certain . growth criteria must be constant. As consequence we give an integral criterion for recurrence.
9#
發(fā)表于 2025-3-23 02:06:15 | 只看該作者
,On Singularity of?Energy Measures for?Symmetric Diffusions with?Full Off-Diagonal Heat Kernel Estimt form. We prove that any fractal . in this family satisfies the full off-diagonal heat kernel estimates with some space-time scale function . and the singularity of the associated energy measures with respect to the canonical volume measure (uniform distribution) on ., and also that the decay rate
10#
發(fā)表于 2025-3-23 07:52:31 | 只看該作者
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