Classical and Spatial Stochastic Processes

With Applications to Biology

Authors: Schinazi, Rinaldo B.

  • Enhances and expands on the title's successful first edition
  • Provides an elementary yet very useful treatment of spatial stochastic models, with applications to mathematical biology
  • Includes exercises at the end of chapters to reinforce concepts
  • Relevant to a wide audience of advanced undergraduates, graduate students, and researchers in engineering, physics, and mathematical biology
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eBook $54.99
price for USA (gross)
  • ISBN 978-1-4939-1869-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-1-4939-1868-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA
  • ISBN 978-1-4939-3710-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

The revised and expanded edition of this textbook presents the concepts and applications of random processes with the same illuminating simplicity as its first edition, but with the notable addition of substantial modern material on biological modeling. While still treating many important problems in fields such as engineering and mathematical physics, the book also focuses on the highly relevant topics of cancerous mutations, influenza evolution, drug resistance, and immune response. The models used elegantly apply various classical stochastic models presented earlier in the text, and exercises are included throughout to reinforce essential concepts.

The second edition of Classical and Spatial Stochastic Processes is suitable as a textbook for courses in stochastic processes at the advanced-undergraduate and graduate levels, or as a self-study resource for researchers and practitioners in mathematics, engineering, physics, and mathematical biology.

Reviews of the first edition:

An appetizing textbook for a first course in stochastic processes. It guides the reader in a very clever manner from classical ideas to some of the most interesting modern results. … All essential facts are presented with clear proofs, illustrated by beautiful examples. … The book is well organized, has informative chapter summaries, and presents interesting exercises. The clear proofs are concentrated at the ends of the chapters making it easy to find the results. The style is a good balance of mathematical rigorosity and user-friendly explanation.Biometric Journal

This small book is well-written and well-organized. ... Only simple results are treated ... but at the same time many ideas needed for more complicated cases are hidden and in fact very close. The second part is a really elementary introduction to the area of spatial processes. ... All sections are easily readable and it is rather tentative for the reviewer to learn them more deeply by organizing a course based on this book. The reader can be really surprised seeing how simple the lectures on these complicated topics can be. At the same time such important questions as phase transitions and their properties for some models and the estimates for certain critical values are discussed rigorously. ... This is indeed a first course on stochastic processes and also a masterful introduction to some modern chapters of the theory.Zentralblatt Math        

About the authors

Rinaldo Schinazi is a Professor of Mathematics at the University of Colorado.  

Table of contents (13 chapters)

  • A Short Probability Review

    Schinazi, Rinaldo B.

    Pages 1-15

  • Discrete Time Branching Process

    Schinazi, Rinaldo B.

    Pages 17-46

  • The Simple Symmetric Random Walk

    Schinazi, Rinaldo B.

    Pages 47-65

  • Asymmetric and Higher Dimension Random Walks

    Schinazi, Rinaldo B.

    Pages 67-80

  • Discrete Time Markov Chains

    Schinazi, Rinaldo B.

    Pages 81-103

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-1-4939-1869-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-1-4939-1868-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA
  • ISBN 978-1-4939-3710-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Classical and Spatial Stochastic Processes
Book Subtitle
With Applications to Biology
Authors
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-1869-0
DOI
10.1007/978-1-4939-1869-0
Hardcover ISBN
978-1-4939-1868-3
Softcover ISBN
978-1-4939-3710-3
Edition Number
2
Number of Pages
XII, 268
Number of Illustrations and Tables
128 b/w illustrations, 206 illustrations in colour
Topics