03915nam a22005415i 4500 978-3-031-77760-8 DE-He213 20251030114641.0 cr nn 008mamaa 241226s2024 sz | s |||| 0|eng d 9783031777608 978-3-031-77760-8 10.1007/978-3-031-77760-8 doi QA274-274.9 PBT bicssc PBWL bicssc MAT029040 bisacsh PBT thema PBWL thema Schinazi, Rinaldo B. author. aut http://id.loc.gov/vocabulary/relators/aut 89633 Classical and Spatial Stochastic Processes [electronic resource] : With Applications to Biology / by Rinaldo B. Schinazi. 3rd ed. 2024. Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024. XII, 286 p. 16 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Finite Markov Chains -- Random walks on finite graphs -- The first appearance of a pattern -- The ruin problem -- The Ehrenfest chain -- The simple symmetric random walk -- Asymmetric and higher dimension random walks -- Discrete time birth and death chains -- Discrete time branching process -- Recurrence on countable spaces -- Stationary distributions on countable spaces -- The Poisson process -- Continuous time birth and death chains -- Continuous time branching processes -- Percolation -- A cellular automaton -- A branching random walk -- The contact process on a homogeneous tree -- Appendix: A little more probability -- Bibliography -- Index. This textbook provides an accessible approach to concepts and applications of stochastic processes ideal for a wide range of readers. This revised third edition features an intuitive reorganization with concrete topics introduced early on which are then used to demonstrate more abstract concepts in later chapters. The author has kept chapters short and independent from each other, with several of the longer chapters from previous editions now divided into smaller, more manageable parts. These changes build upon previous editions to allow readers even greater flexibility. The applications that are covered feature active areas of research within biological modeling, such as cancerous mutations, influenza evolution, drug resistance, and immune response. Important problems in fields such as engineering and mathematical physics are presented as well. These topics elegantly apply various classical stochastic models and are motivated throughout with many worked out examples. This third edition of Classical and Spatial Stochastic Processes is suitable as a textbook for a first course in stochastic processes at the upper-undergraduate or graduate level. Because of its accessible approach, it may also be used as a self-study resource for researchers and practitioners in mathematics, engineering, physics, and mathematical biology. Stochastic processes. 76770 Probabilities. 65724 Biomathematics. 70325 Stochastic Processes. 76770 Probability Theory. 67428 Mathematical and Computational Biology. 70327 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031777592 Printed edition: 9783031777615 Printed edition: 9783031777622 https://doi.org/10.1007/978-3-031-77760-8 ZDB-2-SMA ZDB-2-SXMS 66068 66068