Introduction to Analysis on Graphs (University Lecture Series) - Tapa blanda

Grigor'yan, Alexander

 
9781470443979: Introduction to Analysis on Graphs (University Lecture Series)
Tapa blanda
ISBN 10: 147044397X ISBN 13: 9781470443979
Editorial: American Mathematical Society, 2018

Sinopsis

A central object of this book is the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph theory as a convenient tool for understanding the structure of complex graphs. They can also be used in order to estimate the rate of convergence to equilibrium of a random walk (Markov chain) on finite graphs. For infinite graphs, a study of the heat kernel allows to solve the type problem-a problem of deciding whether the random walk is recurrent or transient.

This book starts with elementary properties of the eigenvalues on finite graphs, continues with their estimates and applications, and concludes with heat kernel estimates on infinite graphs and their application to the type problem. The book is suitable for beginners in the subject and accessible to undergraduate and graduate students with a background in linear algebra I and analysis I. It is based on a lecture course taught by the author and includes a wide variety of exercises. The book will help the reader to reach a level of understanding sufficient to start pursuing research in this exciting area.

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Acerca del autor

Alexander Grigor'yan, University of Bielefeld, Germany.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2018
Idioma
Inglés
ISBN 10 
147044397X
ISBN 13 
9781470443979
Encuadernación
Tapa blanda
Número de páginas
168
Contacto del fabricante
no disponible
Persona responsable
no disponible