LEADER 04406nam 2200721Ia 450 001 9910824440203321 005 20200520144314.0 010 $a1-281-92813-5 010 $a9786611928131 010 $a981-277-541-2 035 $a(CKB)1000000000553441 035 $a(EBL)1679415 035 $a(OCoLC)879023434 035 $a(SSID)ssj0000231368 035 $a(PQKBManifestationID)11207804 035 $a(PQKBTitleCode)TC0000231368 035 $a(PQKBWorkID)10197642 035 $a(PQKB)11278729 035 $a(SSID)ssj0000298592 035 $a(PQKBManifestationID)11224225 035 $a(PQKBTitleCode)TC0000298592 035 $a(PQKBWorkID)10364315 035 $a(PQKB)11694207 035 $a(MiAaPQ)EBC1679415 035 $a(WSP)005319v11 035 $a(Au-PeEL)EBL1679415 035 $a(CaPaEBR)ebr10255553 035 $a(CaONFJC)MIL192813 035 $a(EXLCZ)991000000000553441 100 $a20090223d2003 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aQuantum probability communications$b[electronic resource] $eQP-PQ$hVolume 11 /$fmanaging editors, Stephane Attal, J. Martin Lindsay 205 $a1st ed. 210 $aNew Jersey $cWorld Scientific$dc2003 215 $a1 online resource (314 p.) 225 0 $aQuantum probability communications ;$vv. 11 300 $aDescription based upon print version of record. 311 $a981-238-976-8 320 $aIncludes bibliographical references. 327 $a""0. INTRODUCTION""""1. LARGE MATRICES""; ""2. FREE RANDOM VARIABLES""; ""3. FREE CONVOLUTION""; ""4. THEORY OF ADDITION OF FREE RANDOM VARIABLES""; ""5. SPEICHER'S COMBINATORIAL APPROACH TO FREENESS""; ""6. SOME FURTHER TOPICS""; ""ACKNOWLEDGMENT""; ""REFERENCES""; ""CONDITIONAL EXPECTATIONS ON VON NEUMANN ALGEBRAS""; ""0. INTRODUCTION""; ""1. THE NONCOMMUTATIVE CONDITIONAL EXPECTATION""; ""2. GENERALISED CONDITIONAL EXPECTATIONS""; ""3. CANONICAL STATE EXTENSIONS""; ""4. STOCHASTIC TRANSITIONS FOR VON NEUMANN ALGEBRAS"" 327 $a""5. AN APPLICATION: MARKOVIANITY FOR STATES ON MUTUALLY COMMUTING VON NEUMANN ALGEBRAS""""REFERENCES""; ""CLASSICAL PROBABILITY THEORY AN OUTLINE OF STOCHASTIC INTEGRALS AND DIFFUSIONS""; ""First Lecture (One hour)""; ""BROWNIAN MOTIONS""; ""FURTHER READING""; ""Second Lecture (One hour)""; ""MARTINGALES""; ""FURTHER READING""; ""Third Lecture (One and a half hour)""; ""SEMIMARTINGALES AND STOCHASTIC INTEGRATION""; ""FURTHER READING""; ""Fourth Lecture (One and a half hour)""; ""THE CHANGE OF VARIABLE FORMULA; STOCHASTIC DIFFERENTIAL EQUATIONS""; ""FURTHER READING"" 327 $a""Fifth Lecture (One and a half hour)""""MARKOV PROCESSES, DIFFUSIONS AND FLOWS""; ""FURTHER READING""; ""Sixth Lecture (One and a half hour)""; ""ITERATED STOCHASTIC INTEGRALS, STRUCTURE EQUATIONS""; ""FURTHER READING""; ""ACKNOWLEDGEMENTS""; ""QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS""; ""0. INTRODUCTION""; ""1. QUANTUM STOCHASTIC CALCULUS""; ""2. TIME REVERSAL AND DUAL COCYCLES""; ""3. QUANTUM STOCHASTIC DIFFERENTIAL EQUATIONS""; ""4. MINIMAL QUANTUM DYNAMICAL SEMIGROUP""; ""5. THE RESOLVENT OF THE MINIMAL SEMIGROUP""; ""6. CONSERVATIVITY""; ""7. UNITARY SOLUTIONS"" 327 $a""8. INNER QUANTUM FLOWS"" 330 $a Lecture notes from a Summer School on Quantum Probability held at the University of Grenoble are collected in these two volumes of the QP-PQ series. The articles have been refereed and extensively revised for publication. It is hoped that both current and future students of quantum probability will be engaged, informed and inspired by the contents of these two volumes. An extensive bibliography containing the references from all the lectures is included in Volume 12. Contents:Extensions of Quantum Stochastic Calculus (S Attal)Quantum Ito?; Algebras: Axioms, Representations, Decompositions (V B 410 0$aQp-Pq: Quantum Probability & White Noise Analysis S. 606 $aProbabilities 606 $aQuantum theory 615 0$aProbabilities. 615 0$aQuantum theory. 676 $a530.12 701 $aAttal$b S$g(Stephane)$00 701 $aLindsay$b J. Martin$01611471 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910824440203321 996 $aQuantum probability communications$93939750 997 $aUNINA