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The Resource Introduction to analysis on graphs, Alexander Grigor'yan

Introduction to analysis on graphs, Alexander Grigor'yan

Label
Introduction to analysis on graphs
Title
Introduction to analysis on graphs
Statement of responsibility
Alexander Grigor'yan
Creator
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by Publisher
Cataloging source
DLC
http://library.link/vocab/creatorName
Grigoryan, A.
Index
index present
Literary form
non fiction
Nature of contents
bibliography
Series statement
University lecture series
Series volume
71
http://library.link/vocab/subjectName
  • Graph theory
  • Laplace transformation
Label
Introduction to analysis on graphs, Alexander Grigor'yan
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
on1022978581
Dimensions
26 cm.
Extent
viii, 150 pages
Isbn
9781470443979
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)1022978581
Label
Introduction to analysis on graphs, Alexander Grigor'yan
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
on1022978581
Dimensions
26 cm.
Extent
viii, 150 pages
Isbn
9781470443979
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)1022978581

Library Locations

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      43.803074 11.283055
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