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Titlebook: Discrete and Continuous Models in the Theory of Networks; Fatihcan M. Atay,Pavel B. Kurasov,Delio Mugnolo Book 2020 Springer Nature Switze

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書(shū)目名稱(chēng)Discrete and Continuous Models in the Theory of Networks
編輯Fatihcan M. Atay,Pavel B. Kurasov,Delio Mugnolo
視頻videohttp://file.papertrans.cn/282/281184/281184.mp4
概述Covers current research in the areas of operator theory and dynamical systems on networks and their applications.Indicates possible future directions.Will be interesting to all researchers focusing on
叢書(shū)名稱(chēng)Operator Theory: Advances and Applications
圖書(shū)封面Titlebook: Discrete and Continuous Models in the Theory of Networks;  Fatihcan M. Atay,Pavel B. Kurasov,Delio Mugnolo Book 2020 Springer Nature Switze
描述.This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the?conclusive?conference organized at Bielefeld in December 2017. The contributions consist of original research papers: they mirror the scientific developments fostered by this research program or the state-of-the-art results presented during the conclusive conference..The volume covers current research in the areas of operator theory and dynamical systems on networks and their applications, indicating possible future directions.?The book will be interesting to researchers focusing on the mathematical theory of networks; it is unique as, for the first time, continuous network models - a subject that has been blooming in the last twenty years - are studied alongside more classical and discrete ones.?Thus, instead of two different worlds often growing independently without much intercommunication, a new path is set, breaking with the tradition. The fruitful and beneficial exchange of ideas and results of both communities is reflected in this book.
出版日期Book 2020
關(guān)鍵詞quantum graphs; discrete Laplacians; real-world networks; evolution on graphs; eigenvalues; inverse probl
版次1
doihttps://doi.org/10.1007/978-3-030-44097-8
isbn_softcover978-3-030-44099-2
isbn_ebook978-3-030-44097-8Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Deterministic and Stochastic Mean-Field SIRS Models on Heterogeneous Networks,om environment, that enters in the definition of the infection rates of the nodes. Accordingly, we model the infection rates in the form of independent stochastic processes. To analyze the problem, we apply a mean field approximation that is known in the literature as NIMFA model, which allows to ge
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Unravelling Topological Determinants of Excitable Dynamics on Graphs Using Analytical Mean-field Ap-temporal patterns. We first detail the derivation of mean-field equations for a few simple model situations, mainly 3-state discrete-time excitable dynamics with an absolute or a relative excitation threshold. Comparison with direct numerical simulation shows that their solution satisfactorily pred
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A Family of Diameter-Based Eigenvalue Bounds for Quantum Graphs,rchhoff) vertex conditions in terms of the diameter and the total length of the graph. This extends a result of, and resolves an open problem from, [J. B. Kennedy, P. Kurasov, G. Malenová and D. Mugnolo, Ann. Henri Poincaré . (2016), 2439–2473, Section 7.2], and also complements an analogous lower b
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