Discrete and continuous models in the theory of networks
著者
書誌事項
Discrete and continuous models in the theory of networks
(Operator theory : advances and applications, v. 281)
Birkhäuser, c2020
- : pbk
大学図書館所蔵 全1件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Stability matters for reaction diffusion-equations on metric graphs under the anti-Kirchhoff vertex condition.- Many-particle quantum graphs: A review.- Deterministic and stochastic mean-field SIRS models on heterogeneous networks.- Krein formula and convergence of Hamiltonians with scald potentials in dimension one.- Ground states of the L2-critical NLS equation with localized nonlinearity on a tadpole graph.- An asymptotic expansion of the trace of the heat kernel of a singular two-particle contact interaction in one-dimension.- Modeling dynamic coupling in social interactions.- A note on Cheeger inequalities for piecewise at surfaces.- Unravelling topological determinants of excitable dynamics on graphs using analytical mean-field approaches.- Spectral zeta functions.- A family of diameter-based eigenvalue bounds for quantum graphs.- Missing-level statistics in chaotic microwave networks versus level statistics of partially chaotic systems.- Signatures, lifts, and eigenvalues of graphs.- Strong Isoperimetric Inequality for Tessellating Quantum Graphs.- Spectral monotonicity for Schroedinger operators on metric graphs.- Random graphs and their subgraphs.- Massive Modes for Quantum Graphs.
「Nielsen BookData」 より