LEADER 04325nam 22008055 450 001 996217776803316 005 20200629192220.0 010 $a3-642-54251-4 024 7 $a10.1007/978-3-642-54251-0 035 $a(CKB)3710000000119197 035 $a(DE-He213)978-3-642-54251-0 035 $a(SSID)ssj0001244160 035 $a(PQKBManifestationID)11690088 035 $a(PQKBTitleCode)TC0001244160 035 $a(PQKBWorkID)11313760 035 $a(PQKB)10584716 035 $a(MiAaPQ)EBC3093012 035 $a(PPN)178782521 035 $a(EXLCZ)993710000000119197 100 $a20140515d2014 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLarge Deviations in Physics$b[electronic resource] $eThe Legacy of the Law of Large Numbers /$fedited by Angelo Vulpiani, Fabio Cecconi, Massimo Cencini, Andrea Puglisi, Davide Vergni 205 $a1st ed. 2014. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2014. 215 $a1 online resource (XIV, 314 p. 58 illus., 18 illus. in color.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v885 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-54250-6 327 $aErgodicity ? A Basic Concept -- Large Deviations in Statistical Mechanics: Rigorous and Non-Rigorous -- Large Deviation Techniques for Long-Range Interactions -- Fluctuation-Dissipation and Fluctuation Relations: From Equilibrium to Nonequilibrium Phenomena and Back -- Stochastic Fluctuations in Deterministic Systems -- Large Deviation and Disordered Systems -- Large Deviations in Turbulence -- Ergodicity Breaking Challenges Monte Carlo Methods -- Anomalous Diffusion: Deterministic and Stochastic Perspectives -- The Use of Fluctuation Relations for the Analysis of Free-Energy Landscapes. 330 $aThis book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity. Applications of Large Deviations and their outcomes to Physics are surveyed. The book covers topics encompassing ergodicity and its breaking and the modern applications of Large deviations to equilibrium and non-equilibrium statistical physics, disordered and chaotic systems, and turbulence. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v885 606 $aMathematical physics 606 $aMechanics 606 $aStatistical physics 606 $aDynamical systems 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aMathematical physics. 615 0$aMechanics. 615 0$aStatistical physics. 615 0$aDynamical systems. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aClassical Mechanics. 615 24$aComplex Systems. 615 24$aApplications of Mathematics. 615 24$aStatistical Physics and Dynamical Systems. 676 $a530.0285 702 $aVulpiani$b Angelo$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCecconi$b Fabio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCencini$b Massimo$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aPuglisi$b Andrea$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aVergni$b Davide$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996217776803316 996 $aLarge Deviations in Physics$92380656 997 $aUNISA