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020 _a9783031777608
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024 7 _a10.1007/978-3-031-77760-8
_2doi
050 4 _aQA274-274.9
072 7 _aPBT
_2bicssc
072 7 _aPBWL
_2bicssc
072 7 _aMAT029040
_2bisacsh
072 7 _aPBT
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072 7 _aPBWL
_2thema
100 1 _aSchinazi, Rinaldo B.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_989633
245 1 0 _aClassical and Spatial Stochastic Processes
_h[electronic resource] :
_bWith Applications to Biology /
_cby Rinaldo B. Schinazi.
250 _a3rd ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Birkhäuser,
_c2024.
300 _aXII, 286 p. 16 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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.
650 0 _aStochastic processes.
_976770
650 0 _aProbabilities.
_965724
650 0 _aBiomathematics.
_970325
650 1 4 _aStochastic Processes.
_976770
650 2 4 _aProbability Theory.
_967428
650 2 4 _aMathematical and Computational Biology.
_970327
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031777592
776 0 8 _iPrinted edition:
_z9783031777615
776 0 8 _iPrinted edition:
_z9783031777622
856 4 0 _uhttps://doi.org/10.1007/978-3-031-77760-8
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
999 _c66068
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