Sērija : Cambridge Series in Statistical and Probabilistic Mathematics
(Izdošanas datums: 31-Aug-2025, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781009521437)
Random graphs, also known as complex networks, model the structure of a population. The spread of opinions and diseases on these structures is much different from the usual ODE models. This book will be of interest to mathematicians, computer scienti...Lasīt vairāk
This extensive revision of the 2007 book Random Graph Dynamics, covering the current state of mathematical research in the field, is ideal for researchers and graduate students. It considers a small number of types of graphs, primarily the configur...Lasīt vairāk
Sērija : Cambridge Series in Statistical and Probabilistic Mathematics
(Izdošanas datums: 08-Feb-2024, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107174009)
The first book to cover local convergence, this text discusses the local and global structure of random graph models for complex networks. Featuring examples of real-world networks for motivation and numerous exercises to build experience, it will be...Lasīt vairāk
Networks surround us, from social networks to proteinprotein interaction networks within the cells of our bodies. The theory of random graphs provides a necessary framework for understanding their structure and development. This text provides an acc...Lasīt vairāk
(Izdošanas datums: 09-Mar-2023, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781009260282)
Based on the authors own teaching experience, this text introduces random graphs and networks, covering all the basic features before discussing the growth and structure of real-world networks. It can be used as a textbook for a one-semester course...Lasīt vairāk
We study continuous processes indexed by a special family of graphs. Processes indexed by vertices of graphs are known as probabilistic graphical models. In 2011, Burdzy and Pal proposed a continuous version of graphical models indexed by graphs wit...Lasīt vairāk
Researchers from a variety of mathematical specialties present their different perspectives on unimodularity in randomly generated graphs. Their topics include the monotonicity of average return probabilities for random walks in random environmen...Lasīt vairāk
Grigoryan presents a textbook for a one-semester lecture course introducing the discrete Laplace operator on locally finite graphs to graduate or undergraduate students with a background in linear algebra, analysis, and elementary probability th...Lasīt vairāk
Mexican mathematicians, many of them working abroad, highlight the contributions they and others like them have made to pure and applied mathematics. Among the topics are the Atiyah-Singer cobordism invariance and the tangent groupoid, multiplica...Lasīt vairāk
This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph look like if by chance it has far more triangles than expected? Until recently,...Lasīt vairāk
(Izdošanas datums: 16-Mar-2017, Hardback, Izdevniecība: Oxford University Press, ISBN-13: 9780198709893)
This book describes how to correctly and efficiently generate random networks based on certain constraints. Being able to test a hypothesis against a properly specified control case is at the heart of the scientific method. Generating rando...Lasīt vairāk
Sērija : Cambridge Series in Statistical and Probabilistic Mathematics
(Izdošanas datums: 22-Dec-2016, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107172876)
This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises....Lasīt vairāk
Editors Budzban, Hughes, and Schurz present readers with a collection of materials selected from research presented at an international research conference held in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, focused on...Lasīt vairāk
A self-contained and concise introduction to recent developments, particularly those of a geometric and topological nature, in the theory of random graphs. Such material is seldom covered in the formative study of young combinatorialists and probabil...Lasīt vairāk
Michael Krivelevich, Konstantinos Panagiotou, Mathew Penrose, Colin McDiarmid, Nikolaos Fountoulakis, Dan Hefetz
Sērija : London Mathematical Society Student Texts
(Izdošanas datums: 25-Apr-2016, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107136571)
The theory of random graphs is a vital part of the education of any researcher entering the fascinating world of combinatorics. However, due to their diverse nature, the geometric and structural aspects of the theory often remain an obscure part of t...Lasīt vairāk
(Izdošanas datums: 30-Dec-2015, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470419134)
In a graduate mathematical physics textbook, Aizenman and Warzel combine elements of analysis and probability, and accompany the mathematical discussion with relevant perspectives of physics. Among their topics are general relations between spectra a...Lasīt vairāk
(Izdošanas datums: 26-Oct-2015, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107118508)
From social networks such as Facebook, the World Wide Web and the Internet, to the complex interactions between proteins in the cells of our bodies, we constantly face the challenge of understanding the structure and development of networks. The the...Lasīt vairāk
Sērija : Proceedings of Symposia in Pure Mathematics
(Izdošanas datums: 01-Oct-2015, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470422486)
Editors Sidoravicius and Smirnov present readers with a collection of scholarly papers selected from materials presented at a conference on probability and statistical physics held at St. Petersburg St. University in Russia in June of 2012. The contr...Lasīt vairāk
Spencer learned asymptotics directly from renowned Hungarian mathematician Paul Erds (1913-96), and shares some insights with other students of mathematics who have a knowledge of first year calculus and perhaps some background in probability and...Lasīt vairāk
Harris offers a relatively non-technical introduction to exponential random graph modeling (ERGM), a statistical method specifically designed for relational data. It is used to examine patterns of relationships in networks and to identify how the cha...Lasīt vairāk
