Mathematical Technology of Networks: Bielefeld, December 2013 (Springer Proceedings in Mathematics & Statistics)
暫譯: 網絡的數學技術:比勒費爾德,2013年12月(施普林格數學與統計會議錄)
- 出版商: Springer
- 出版日期: 2015-07-15
- 售價: $4,510
- 貴賓價: 9.5 折 $4,285
- 語言: 英文
- 頁數: 205
- 裝訂: Hardcover
- ISBN: 3319166182
- ISBN-13: 9783319166186
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相關分類:
機率統計學 Probability-and-statistics
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商品描述
Dynamical models on graphs or random graphs are increasingly used in applied sciences as mathematical tools to study complex systems whose exact structure is too complicated to be known in detail. Besides its importance in applied sciences, the field is increasingly attracting the interest of mathematicians and theoretical physicists also because of the fundamental phenomena (synchronization, phase transitions etc.) that can be studied in the relatively simple framework of dynamical models of random graphs. This volume was developed from the Mathematical Technology of Networks conference held in Bielefeld, Germany in December 2013. The conference was designed to bring together functional analysts, mathematical physicists, and experts in dynamical systems. The contributors to this volume explore the interplay between theoretical and applied aspects of discrete and continuous graphs. Their work helps to close the gap between different avenues of research on graphs, including metric graphs and ramified structures.
商品描述(中文翻譯)
在應用科學中,動態模型在圖形或隨機圖形上的應用越來越廣泛,作為研究複雜系統的數學工具,因為這些系統的確切結構過於複雜,無法詳細了解。除了在應用科學中的重要性外,這一領域也越來越吸引數學家和理論物理學家的興趣,因為在隨機圖形的動態模型的相對簡單框架中,可以研究基本現象(如同步、相變等)。本卷是基於2013年12月在德國比勒費爾德舉行的網絡數學技術會議發展而來。該會議旨在將功能分析師、數學物理學家和動態系統專家聚集在一起。本卷的貢獻者探討了離散圖和連續圖的理論與應用方面之間的相互作用。他們的工作有助於縮小在圖形研究的不同途徑之間的差距,包括度量圖和分支結構。