Classical and Spatial Stochastic Processes

With Applications to Biology

  • Rinaldo B. Schinazi

Table of contents

  1. Front Matter
    Pages i-xii
  2. Rinaldo B. Schinazi
    Pages 1-15
  3. Rinaldo B. Schinazi
    Pages 17-46
  4. Rinaldo B. Schinazi
    Pages 47-65
  5. Rinaldo B. Schinazi
    Pages 67-80
  6. Rinaldo B. Schinazi
    Pages 81-103
  7. Rinaldo B. Schinazi
    Pages 131-149
  8. Rinaldo B. Schinazi
    Pages 151-173
  9. Rinaldo B. Schinazi
    Pages 175-195
  10. Rinaldo B. Schinazi
    Pages 197-218
  11. Rinaldo B. Schinazi
    Pages 219-229
  12. Rinaldo B. Schinazi
    Pages 231-249
  13. Rinaldo B. Schinazi
    Pages 251-256
  14. Back Matter
    Pages 257-268

About this book


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



interacting particle systems mathematical biology population biology models probability theory spatial processes stochastic processes

Authors and affiliations

  • Rinaldo B. Schinazi
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoColorado SpringsUSA

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Birkhäuser, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-1868-3
  • Online ISBN 978-1-4939-1869-0
  • About this book