Random Graph Dynamics: 20 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 20) - Tapa blanda

Libro 22 de 46: Cambridge Series in Statistical and Probabilistic Mathematics

Durrett, Rick

 
9780521150163: Random Graph Dynamics: 20 (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 20)
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ISBN 10: 0521150167 ISBN 13: 9780521150163
Editorial: Cambridge University Press, 2010

Sinopsis

The theory of random graphs began in the late 1950s in several papers by Erdos and Renyi. In the late twentieth century, the notion of six degrees of separation, meaning that any two people on the planet can be connected by a short chain of people who know each other, inspired Strogatz and Watts to define the small world random graph in which each site is connected to k close neighbors, but also has long-range connections. At a similar time, it was observed in human social and sexual networks and on the Internet that the number of neighbors of an individual or computer has a power law distribution. This inspired Barabasi and Albert to define the preferential attachment model, which has these properties. These two papers have led to an explosion of research. The purpose of this book is to use a wide variety of mathematical argument to obtain insights into the properties of these graphs. A unique feature is the interest in the dynamics of process taking place on the graph in addition to their geometric properties, such as connectedness and diameter.

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Acerca del autor

Rick Durrett is Professor of Mathematics at Cornell University. He received his Ph.D. in Operations Research from Stanford in 1976. After nine years at UCLA, he moved to Cornell, where his research turned to applications of probability to ecology and, more recently, genetics. He has written more than 150 papers, six other books, and has 33 academic descendants.

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Editorial
Cambridge University Press
Año de publicación
2010
Idioma
Inglés
ISBN 10 
0521150167
ISBN 13 
9780521150163
Encuadernación
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Número de páginas
222
Contacto del fabricante
no disponible
Persona responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Francia

Otras ediciones populares con el mismo título

9780521866569: Random Graph Dynamics (Cambridge Series in Statistical and Probabilistic Mathematics, Series Number 20)

Edición Destacada

ISBN 10:  0521866561 ISBN 13:  9780521866569
Editorial: Cambridge University Press, 2006
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