LEADER 05967nam 22007575 450 001 9910299982903321 005 20200705125852.0 010 $a1-4939-1869-9 024 7 $a10.1007/978-1-4939-1869-0 035 $a(CKB)3710000000249655 035 $a(Springer)9781493918690 035 $a(MH)014199324-3 035 $a(SSID)ssj0001354074 035 $a(PQKBManifestationID)11747064 035 $a(PQKBTitleCode)TC0001354074 035 $a(PQKBWorkID)11322307 035 $a(PQKB)11740508 035 $a(DE-He213)978-1-4939-1869-0 035 $a(MiAaPQ)EBC6310534 035 $a(MiAaPQ)EBC5594558 035 $a(Au-PeEL)EBL5594558 035 $a(OCoLC)1076257108 035 $a(PPN)181348594 035 $a(EXLCZ)993710000000249655 100 $a20140927d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 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 $a2nd ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (XII, 268 p. 334 illus., 206 illus. in color.)$conline resource 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4939-1868-0 327 $aDiscrete-Time Markov Chains -- Stationary Distributions of a Markov Chain -- Continuous-Time Birth and Death Markov Chains -- Percolation -- A Cellular Automaton -- Continuous-Time Branching Random Walk -- The Contact Process on a Homogeneous Tree -- Appendix: Some Facts About Probabilities on Countable Spaces -- Applications to Population Biology.- References.       . 330 $aThe 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     . 606 $aProbabilities 606 $aBiomathematics 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010 606 $aPhysiological, Cellular and Medical Topics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31020 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aProbabilities. 615 0$aBiomathematics. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aProbability Theory and Stochastic Processes. 615 24$aGenetics and Population Dynamics. 615 24$aPhysiological, Cellular and Medical Topics. 615 24$aMathematical and Computational Engineering. 615 24$aApplications of Mathematics. 676 $a519.2 700 $aSchinazi$b Rinaldo B$4aut$4http://id.loc.gov/vocabulary/relators/aut$0614213 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299982903321 996 $aClassical and spatial stochastic processes$91410126 997 $aUNINA 999 $aThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress