Random Graphs Phase Transitions (42 results)

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Taschenbuch. Condition: Neu. The component structure of random graphs | Phase transitions in random graphs and random graph processes | Taral Guldahl Seierstad | Taschenbuch | 136 S. | Englisch | 2012 | AV Akademikerverlag | EAN 9783639432862 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.…

Taschenbuch. Condition: Neu. Neuware - Many random graph processes exhibit a phase transition, where the component structure of the graph changes radically caused by the addition of relatively few random edges.Before the phase transition the graph consists, with high probability, of many small components, while after the phase transition it contains, with high probability, a unique component of linear size, called the giant component, which is much larger than every other component in the graph. This book treats the phase transition and the emergence of the giant component in three different random graph models. It presents several techniques that are useful for studying this type of problem, including generating functions, branching processes and differential equations. The book is aimed at mathematicians interested in random graphs in general, and in the phase transition and the giant component in particular.…

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Taschenbuch. Condition: Neu. Random Graphs, Phase Transitions, and the Gaussian Free Field | PIMS-CRM Summer School in Probability, Vancouver, Canada, June 5-30, 2017 | Martin T. Barlow (u. a.) | Taschenbuch | Springer Proceedings in Mathematics & Statistics | xvii | Englisch | 2021 | Springer | EAN 9783030320133 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for theMathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, duringJune 5-30, 2017.It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures.The lecture notes contained in this volume provide introductory accounts of three of the mostactive and fascinating areas of research in modern probability theory, especially designed for graduate students entering research: Scaling limits of random trees and random graphs (Christina Goldschmidt)Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin)Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup) Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.…

Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for theMathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, duringJune 5-30, 2017.It had 125 participants from 20 different countries, and featured two main courses, three mini-courses, and twenty-nine lectures.The lecture notes contained in this volume provide introductory accounts of three of the mostactive and fascinating areas of research in modern probability theory, especially designed for graduate students entering research: Scaling limits of random trees and random graphs (Christina Goldschmidt)Lectures on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin)Extrema of the two-dimensional discrete Gaussian free field (Marek Biskup) Each of these contributions provides a thorough introduction that will be of value to beginners and experts alike.…

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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Revision with unchanged content. Many random graph processes exhibit a phase transition, where the compo nent structure of the graph changes radically caused by the addition of relatively few random edges. Before the phase transition the graph consists, with high probability, of many small components, while after the phase transition it contains, with high probability, a unique component of linear size, called the giant component, which is much larger than every other component in the graph. This book treats the phase transition and the emergence of the giant component in three different random graph models. It presents several techniques that are useful for studying this type of problem, including generating functions, branching processes and differential equations. The book is aimed at mathematicians interested in random graphs in general, and in the phase transition and the giant component in particular. …

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Paperback. Condition: new. Paperback. This book studies the emergence of large-scale structure from small structures in the context of random graphs. Typical large graphs with fixed edge density e and triangle density t are described by a 'graphon' that solves a constrained optimization problem. Proofs are provided of the existence of infinitely many open sets ('phases') in the (e,t) plane where the optimal graphon is unique and varies analytically with (e,t). The optimal graphons take a simple form, with symmetries that vary from phase to phase, indicating an emergent self-organization of the corresponding graphs. Besides being of independent interest in the theory of random graphs, extremal combinatorics and the calculus of variations, this provides a rigorous framework for studying ideas from statistical physics that have never been proven in their original setting. The techniques presented in this book can serve as a guide for optimization problems in other fields. This book for applied mathematicians and scientists focuses on structure that emerges in systems of many components. It uses ideas from statistical mechanics to prove the emergence of structure, including many phase transitions, in a setting where this was not previously possible. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. …

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