LEADER 02742nam 22004575 450 001 9910300109503321 005 20200630033335.0 010 $a3-319-77019-5 024 7 $a10.1007/978-3-319-77019-2 035 $a(CKB)4100000003359504 035 $a(MiAaPQ)EBC5377509 035 $a(DE-He213)978-3-319-77019-2 035 $a(PPN)226697789 035 $a(EXLCZ)994100000003359504 100 $a20180430d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPath Coupling and Aggregate Path Coupling$b[electronic resource] /$fby Yevgeniy Kovchegov, Peter T. Otto 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (xi, 96 pages) $cillustrations 225 1 $aSpringerBriefs in Probability and Mathematical Statistics,$x2365-4333 311 $a3-319-77018-7 320 $aIncludes bibliographical references and index. 327 $aPreface -- Coupling, Path Coupling, and Mixing Times -- Statistical Mechanical Models and Glauber Dynamics -- Large Deviations and Equilibrium Macrostate Phase Transitions -- Path Coupling for Curie-Weiss Model -- Aggregate Path Coupling: One Dimensional Theory -- Aggregate Path Coupling: Higher Dimensional Theory -- Aggregate Path Coupling: Beyond Kn. 330 $aThis book describes and characterizes an extension to the classical path coupling method applied to statistical mechanical models, referred to as aggregate path coupling. In conjunction with large deviations estimates, the aggregate path coupling method is used to prove rapid mixing of Glauber dynamics for a large class of statistical mechanical models, including models that exhibit discontinuous phase transitions which have traditionally been more difficult to analyze rigorously. The book shows how the parameter regions for rapid mixing for several classes of statistical mechanical models are derived using the aggregate path coupling method. 410 0$aSpringerBriefs in Probability and Mathematical Statistics,$x2365-4333 606 $aProbabilities 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 615 0$aProbabilities. 615 14$aProbability Theory and Stochastic Processes. 676 $a519.53 700 $aKovchegov$b Yevgeniy$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767875 702 $aOtto$b Peter T$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300109503321 996 $aPath Coupling and Aggregate Path Coupling$92087421 997 $aUNINA