LEADER 03845nam 22005895 450 001 9910919828003321 005 20250529194039.0 010 $a9783031777608 024 7 $a10.1007/978-3-031-77760-8 035 $a(CKB)37084497900041 035 $a(DE-He213)978-3-031-77760-8 035 $a(MiAaPQ)EBC31870174 035 $a(Au-PeEL)EBL31870174 035 $a(EXLCZ)9937084497900041 100 $a20241226d2024 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aClassical and Spatial Stochastic Processes $eWith Applications to Biology /$fby Rinaldo B. Schinazi 205 $a3rd ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Birkhäuser,$d2024. 215 $a1 online resource (XII, 286 p. 16 illus.) 311 08$a9783031777592 327 $aFinite 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. 330 $aThis 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. 606 $aStochastic processes 606 $aProbabilities 606 $aBiomathematics 606 $aBiomatemātica$2thub 606 $aProcessos estocāstics$2thub 606 $aStochastic Processes 606 $aProbability Theory 606 $aMathematical and Computational Biology 608 $aLlibres electrōnics$2thub 615 0$aStochastic processes. 615 0$aProbabilities. 615 0$aBiomathematics. 615 7$aBiomatemātica 615 7$aProcessos estocāstics 615 14$aStochastic Processes. 615 24$aProbability Theory. 615 24$aMathematical and Computational Biology. 676 $a519.23 700 $aSchinazi$b Rinaldo B$4aut$4http://id.loc.gov/vocabulary/relators/aut$0614213 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910919828003321 996 $aClassical and spatial stochastic processes$91410126 997 $aUNINA