LEADER 01117nam--2200385---450- 001 990003357150203316 005 20100118111836.0 010 $a978-88-420-9152-3 035 $a000335715 035 $aUSA01000335715 035 $a(ALEPH)000335715USA01 035 $a000335715 100 $a20091210d2009----km-y0itay50------ba 101 $aita 102 $aIT 105 $a||||||||001yy 200 1 $aOltre la Bibbia$estoria antica di Israele$fMarco Liverani 210 $aRoma$aBari$cLaterza$d2009 215 $aXV, 510 p.$d24 cm 225 2 $a<> Robinson$iLetture 410 0$12001$a<> Robinson$iLetture 454 0$12001 600 1$aIsraele$zSec. 14.-4. a.C.$2BNCF 676 $a933.02 700 1$aLIVERANI,$bMario$038270 801 0$aIT$bsalbc$gISBD 912 $a990003357150203316 951 $aIX.2. 193$b219596 L.M.$cIX.2.$d00261739 959 $aBK 969 $aUMA 979 $aALESSANDRA$b90$c20091210$lUSA01$h1235 979 $aALESSANDRA$b90$c20091210$lUSA01$h1235 979 $aALESSANDRA$b90$c20100118$lUSA01$h1118 996 $aOltre la Bibbia$9842034 997 $aUNISA LEADER 01279nam a22003375i 4500 001 991002154479707536 007 cr nn 008mamaa 008 140303s2003 de | s |||| 0|eng d 020 $a9783540361251 035 $ab14129784-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a515.353$223 100 1 $aDolzmann, Georg$067423 245 10$aVariational methods for crystalline microstructure - analysis and computation$h[e-book] /$cby Georg Dolzmann 260 $aBerlin :$bSpringer,$c2003 300 $a1 online resource (viii, 212 p.) 440 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1803 650 0$aMathematics 650 0$aDifferential equations, partial 650 0$aNumerical analysis 650 0$aMathematical physics 650 0$aMechanics 650 0$aCondensed matter 650 0$aCrystallography 773 0 $aSpringer eBooks 856 40$uhttp://dx.doi.org/10.1007/b10191$zAn electronic book accessible through the World Wide Web 907 $a.b14129784$b03-03-22$c05-09-13 912 $a991002154479707536 996 $aVariational methods for crystalline microstructure - analysis and computation$92983363 997 $aUNISALENTO 998 $ale013$b05-09-13$cm$d@ $e-$feng$gde $h0$i0 LEADER 04467nam 22006375 450 001 9910300116003321 005 20200703105307.0 010 $a3-319-56436-6 024 7 $a10.1007/978-3-319-56436-4 035 $a(CKB)4100000002891982 035 $a(MiAaPQ)EBC5319949 035 $a(DE-He213)978-3-319-56436-4 035 $a(PPN)22555223X 035 $a(EXLCZ)994100000002891982 100 $a20180307d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aProbabilistic Theory of Mean Field Games with Applications II $eMean Field Games with Common Noise and Master Equations /$fby René Carmona, François Delarue 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (697 pages) 225 1 $aProbability Theory and Stochastic Modelling,$x2199-3130 ;$v84 311 $a3-319-56435-8 320 $aIncludes bibliographical references and index. 327 $aForeword -- Preface to Volume II -- Part I: MFGs with a Common Noise -- Optimization in a Random Environment -- MFGs with a Common Noise: Strong and Weak Solutions -- Solving MFGs with a Common Noise -- Part II: The Master Equation, Convergence, and Approximation Problems -- The Master Field and the Master Equation -- Classical Solutions to the Master Equation -- Convergence and Approximations -- Epilogue to Volume II -- Extensions for Volume II -- References -- Indices. 330 $aThis two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications. The book is self-contained in nature and includes original material and applications with explicit examples throughout, including numerical solutions. Volume II tackles the analysis of mean field games in which the players are affected by a common source of noise. The first part of the volume introduces and studies the concepts of weak and strong equilibria, and establishes general solvability results. The second part is devoted to the study of the master equation, a partial differential equation satisfied by the value function of the game over the space of probability measures. Existence of viscosity and classical solutions are proven and used to study asymptotics of games with finitely many players. Together, both Volume I and Volume II will greatly benefit mathematical graduate students and researchers interested in mean field games. The authors provide a detailed road map through the book allowing different access points for different readers and building up the level of technical detail. The accessible approach and overview will allow interested researchers in the applied sciences to obtain a clear overview of the state of the art in mean field games. 410 0$aProbability Theory and Stochastic Modelling,$x2199-3130 ;$v84 606 $aProbabilities 606 $aCalculus of variations 606 $aDifferential equations, Partial 606 $aEconomics 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aEconomic Theory/Quantitative Economics/Mathematical Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/W29000 615 0$aProbabilities. 615 0$aCalculus of variations. 615 0$aDifferential equations, Partial. 615 0$aEconomics. 615 14$aProbability Theory and Stochastic Processes. 615 24$aCalculus of Variations and Optimal Control; Optimization. 615 24$aPartial Differential Equations. 615 24$aEconomic Theory/Quantitative Economics/Mathematical Methods. 676 $a530.1595 700 $aCarmona$b René$4aut$4http://id.loc.gov/vocabulary/relators/aut$0149642 702 $aDelarue$b François$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300116003321 996 $aProbabilistic Theory of Mean Field Games with Applications II$92272616 997 $aUNINA