02905nam 22005412 450 991015945850332120170308135427.01-316-86682-31-316-86790-01-316-86808-71-139-20846-21-316-86826-51-316-86844-31-316-86898-2(CKB)3710000001008904(UkCbUP)CR9781139208468(MiAaPQ)EBC4784002(PPN)261296752(EXLCZ)99371000000100890420111205d2017|||| uy| 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierNon-homogeneous random walks Lyapunov function methods for near-critical stochastic systems /Mikhail Menshikov, University of Durham, Serguei Popov, Universidade Estadual de Campinas, Brazil, Andrew Wade, University of Durham[electronic resource]Cambridge :Cambridge University Press,2017.1 online resource (xviii, 363 pages) digital, PDF file(s)Cambridge tracts in mathematics ;209Title from publisher's bibliographic system (viewed on 28 Feb 2017).1-107-02669-5 1-316-86880-X Stochastic systems provide powerful abstract models for a variety of important real-life applications: for example, power supply, traffic flow, data transmission. They (and the real systems they model) are often subject to phase transitions, behaving in one way when a parameter is below a certain critical value, then switching behaviour as soon as that critical value is reached. In a real system, we do not necessarily have control over all the parameter values, so it is important to know how to find critical points and to understand system behaviour near these points. This book is a modern presentation of the 'semimartingale' or 'Lyapunov function' method applied to near-critical stochastic systems, exemplified by non-homogeneous random walks. Applications treat near-critical stochastic systems and range across modern probability theory from stochastic billiards models to interacting particle systems. Spatially non-homogeneous random walks are explored in depth, as they provide prototypical near-critical systems.Cambridge tracts in mathematics ;209.Random walks (Mathematics)Stochastic processesRandom walks (Mathematics)Stochastic processes.519.2/82Menʹshikov M. V(Mikhail Vasilʹevich),850776Popov Serguei1972-Wade Andrew(Andrew R.),1981-UkCbUPUkCbUPBOOK9910159458503321Non-homogeneous random walks1899644UNINA02074nam 2200625 450 991081344770332120230422045520.01-322-18319-80-8229-7847-4(CKB)1000000000548177(OCoLC)749132439(CaPaEBR)ebrary10950180(SSID)ssj0000084738(PQKBManifestationID)11112614(PQKBTitleCode)TC0000084738(PQKBWorkID)10170248(PQKB)10855245(MiAaPQ)EBC2039436(Au-PeEL)EBL2039436(CaPaEBR)ebr10950180(CaONFJC)MIL649583(EXLCZ)99100000000054817720141014h20002000 uy| 0engurcnu||||||||txtccrRed atom Russia's nuclear power program from Stalin to today /Paul R. JosephsonPittsburgh :University of Pittsburgh Press,[2000]©20001 online resource (365 p.)Bibliographic Level Mode of Issuance: Monograph0-8229-5881-3 0-7167-3044-8 Includes bibliographical references and index.Nuclear energyFormer Soviet republicsHistory20th centuryNuclear industryFormer Soviet republicsHistory20th centuryNuclear energyRussia (Federation)History20th centuryNuclear industryRussia (Federation)History20th centuryFormer Soviet republicsPolitics and governmentRussia (Federation)Politics and governmentNuclear energyHistoryNuclear industryHistoryNuclear energyHistoryNuclear industryHistory333.7/924/0947Josephson Paul R.685141MiAaPQMiAaPQMiAaPQBOOK9910813447703321Red atom1267399UNINA