LEADER 03931nam 22006855 450 001 9910827114403321 005 20240516014556.0 010 $a3-662-03990-7 024 7 $a10.1007/978-3-662-03990-8 035 $a(CKB)2660000000027208 035 $a(SSID)ssj0001298597 035 $a(PQKBManifestationID)11751639 035 $a(PQKBTitleCode)TC0001298597 035 $a(PQKBWorkID)11242526 035 $a(PQKB)10828875 035 $a(DE-He213)978-3-662-03990-8 035 $a(MiAaPQ)EBC3098239 035 $a(PPN)237915804 035 $a(EXLCZ)992660000000027208 100 $a20130220d1999 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aStochastic Interacting Systems: Contact, Voter and Exclusion Processes /$fby Thomas M. Liggett 205 $a1st ed. 1999. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999. 215 $a1 online resource (XII, 335 p.) 225 1 $aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$x2196-9701 ;$v324 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-65995-1 311 $a3-642-08529-6 320 $aIncludes bibliographical references and index. 327 $aBackground and Tools -- Contact Processes: Preliminaries; The Process on the Integer Lattice Zd; The Process on (1,...,N)d; The Process on the Homogeneous Tree Td; Notes and References -- Voter Models: Preliminaries; Models with General Threshold and Range; Models with Threshold = 1; Notes and References -- Exclusion Processes: Preliminaries; Asymmetric Processes on the Integers; Invariant Measures for Processes on (1,..,N); The Tagged Particle Process -- Notes and References Bibliography -- Index. 330 $aInteractive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T. Liggett, Interacting Particle System, ISBN 3-540-96069) that treated the subject as it was at that time. The present book takes three of the most important models in the area, and traces advances in our understanding of them since 1985. In so doing, many of the most useful techniques in the field are explained and developed, so that they can be applied to other models and in other contexts. Extensive Notes and References sections discuss other work on these and related models. Readers are expected to be familiar with analysis and probability at the graduate level, but it is not assumed that they have mastered the material in the 1985 book. This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics. 410 0$aGrundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,$x2196-9701 ;$v324 606 $aProbabilities 606 $aMathematical physics 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aProbability Theory 606 $aTheoretical, Mathematical and Computational Physics 606 $aMathematical and Computational Engineering Applications 615 0$aProbabilities. 615 0$aMathematical physics. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 14$aProbability Theory. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aMathematical and Computational Engineering Applications. 676 $a519.2 700 $aLiggett$b Thomas M$g(Thomas Milton),$f1944-2020,$4aut$4http://id.loc.gov/vocabulary/relators/aut$047770 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827114403321 996 $aStochastic interacting systems$91426011 997 $aUNINA