Percolation In Spatial Networks PDF Download
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| Author | : Bnaya Gross |
| Publisher | : Cambridge University Press |
| Total Pages | : 80 |
| Release | : 2022-07-14 |
| Genre | : Science |
| ISBN | : 1009178695 |
Download Percolation in Spatial Networks Book in PDF, ePub and Kindle
Percolation theory is a well studied process utilized by networks theory to understand the resilience of networks under random or targeted attacks. Despite their importance, spatial networks have been less studied under the percolation process compared to the extensively studied non-spatial networks. In this Element, the authors will discuss the developments and challenges in the study of percolation in spatial networks ranging from the classical nearest neighbors lattice structures, through more generalized spatial structures such as networks with a distribution of edge lengths or community structure, and up to spatial networks of networks.
| Author | : Marc Barthelemy |
| Publisher | : Springer Nature |
| Total Pages | : 443 |
| Release | : 2022-02-20 |
| Genre | : Mathematics |
| ISBN | : 303094106X |
Download Spatial Networks Book in PDF, ePub and Kindle
This book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks. The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology. This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers.
| Author | : Marc Barthelemy |
| Publisher | : Springer |
| Total Pages | : 342 |
| Release | : 2017-12-30 |
| Genre | : Science |
| ISBN | : 331920565X |
Download Morphogenesis of Spatial Networks Book in PDF, ePub and Kindle
This book develops a morphodynamical approach of spatial networks with a particular emphasis on infrastructure networks such as streets, roads and transportation networks (subway, train). The author presents the mathematical tools needed to characterize these structures and how they evolve in time. The book discusses the most important empirical results and stylized facts, and will present the most important models of spatial networks. The target audience primarily comprises research scientists interested in this rapidly evolving and highly interdisciplinary field, but the book may also be beneficial for graduate students interested in large networks.
| Author | : Benedikt Jahnel |
| Publisher | : |
| Total Pages | : |
| Release | : 2021 |
| Genre | : |
| ISBN | : |
Download Percolation and Connection Times in Multi-scale Dynamic Networks Book in PDF, ePub and Kindle
We study the effects of mobility on two crucial characteristics in multi-scale dynamic networks: percolation and connection times. Our analysis provides insights into the question, to what extent long-time averages are well-approximated by the expected values of the corresponding quantities, i.e., the percolation and connection probabilities. In particular, we show that in multi-scale models, strong random effects may persist in the limit. Depending on the precise model choice, these may take the form of a spatial birth-death process or a Brownian motion. Despite the variety of structures that appear in the limit, we show that they can be tackled in a common framework with the potential to be applicable more generally in order to identify limits in dynamic spatial network models going beyond the examples considered in the present work.
| Author | : Mohammed Altaj Mohammed Fadul |
| Publisher | : |
| Total Pages | : 276 |
| Release | : 2006 |
| Genre | : |
| ISBN | : |
Download An Analysis of Spatial Percolation Structures Using a Network Approach Book in PDF, ePub and Kindle
| Author | : Vladimir Batagelj |
| Publisher | : John Wiley & Sons |
| Total Pages | : 464 |
| Release | : 2014-09-05 |
| Genre | : Mathematics |
| ISBN | : 1118915356 |
Download Understanding Large Temporal Networks and Spatial Networks Book in PDF, ePub and Kindle
This book explores social mechanisms that drive network change and link them to computationally sound models of changing structure to detect patterns. This text identifies the social processes generating these networks and how networks have evolved. Reviews: "this book is easy to read and entertaining, and much can be learned from it. Even if you know just about everything about large-scale and temporal networks, the book is a worthwhile read; you will learn a lot about SNA literature, patents, the US Supreme Court, and European soccer." (Social Networks) "a clear and accessible textbook, balancing symbolic maths, code, and visual explanations. The authors’ enthusiasm for the subject matter makes it enjoyable to read" (JASSS)
| Author | : Marc Barthélemy |
| Publisher | : |
| Total Pages | : 101 |
| Release | : 2011 |
| Genre | : |
| ISBN | : |
Download Spatial Networks Book in PDF, ePub and Kindle
| Author | : Armin Bunde |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 363 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642514359 |
Download Fractals and Disordered Systems Book in PDF, ePub and Kindle
Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses, and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In 10 chapters written by leading experts in the field, including E. Stanley and B. Mandelbrot, the reader is introduced to basic concepts and techniques in disordered systems and is lead to the forefront of current research. In each chapter the connection between theory and experiment is emphasized, and a special chapter entitled "Fractals and Experiments" presents experimental studies of fractal systems in the laboratory. The book is written pedagogically. It can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.
| Author | : Ginestra Bianconi |
| Publisher | : Oxford University Press |
| Total Pages | : 417 |
| Release | : 2018-06-07 |
| Genre | : Science |
| ISBN | : 0191068500 |
Download Multilayer Networks Book in PDF, ePub and Kindle
Multilayer networks is a rising topic in Network Science which characterizes the structure and the function of complex systems formed by several interacting networks. Multilayer networks research has been propelled forward by the wide realm of applications in social, biological and infrastructure networks and the large availability of network data, as well as by the significance of recent results, which have produced important advances in this rapidly growing field. This book presents a comprehensive account of this emerging field. It provides a theoretical introduction to the main results of multilayer network science.
| Author | : Wei Chen |
| Publisher | : Springer |
| Total Pages | : 75 |
| Release | : 2014-07-15 |
| Genre | : Mathematics |
| ISBN | : 3662437392 |
Download Explosive Percolation in Random Networks Book in PDF, ePub and Kindle
This thesis is devoted to the study of the Bohman-Frieze-Wormald percolation model, which exhibits a discontinuous transition at the critical threshold, while the phase transitions in random networks are originally considered to be robust continuous phase transitions. The underlying mechanism that leads to the discontinuous transition in this model is carefully analyzed and many interesting critical behaviors, including multiple giant components, multiple phase transitions, and unstable giant components are revealed. These findings should also be valuable with regard to applications in other disciplines such as physics, chemistry and biology.
