LEADER 04478nam 2200673 450 001 996466539703316 005 20220305171013.0 010 $a3-540-38846-X 024 7 $a10.1007/BFb0078049 035 $a(CKB)1000000000437502 035 $a(SSID)ssj0000326049 035 $a(PQKBManifestationID)12124459 035 $a(PQKBTitleCode)TC0000326049 035 $a(PQKBWorkID)10266553 035 $a(PQKB)11550250 035 $a(DE-He213)978-3-540-38846-3 035 $a(MiAaPQ)EBC5579384 035 $a(Au-PeEL)EBL5579384 035 $a(OCoLC)1066199633 035 $a(MiAaPQ)EBC6842875 035 $a(Au-PeEL)EBL6842875 035 $a(OCoLC)793079050 035 $a(PPN)155172522 035 $a(EXLCZ)991000000000437502 100 $a20220305d1988 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aQuantum probability and applications$hIII $eproceedings of a conference held in Oberwolfach, FRG, January 25-31, 1987 /$fL. Accardi, W. von Waldenfels (editors) 205 $a1st ed. 1988. 210 1$aBerlin :$cSpringer-Verlag,$d1988. 215 $a1 online resource (VIII, 376 p.) 225 1 $aLecture notes in mathematics ;$v1303 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-18919-X 320 $aIncludes bibliographical references. 327 $aA note on Meyer's note -- Stochastic integration -- Quantum stochastic parallel transport on non-commutative vector bundles -- Input and output channels in quantum systems and quantum stochastic differential equations -- Some noncommutative Radon-Nikodym Theorems for von Neumann algebras -- Multidimensional quantum diffusions -- An application of de finetti's theorem -- The quantum Langevin equation from the independent-oscillator model -- Quantum poisson processes: Physical motivations and applications -- A noncommutative generalization of conditionally positive definite functions -- Contraction semigroups in L2 over a von neumann algebra -- Survey on a theory of non-commutative stationary markov processes -- Dynamical entropy for quantum systems -- An integral kernel approach to noise -- A note on shifts and cocycles -- Local measures in fock space stochastic calculus and a generalized ito-tanaka formula -- Representation of a class of quantum martingales II -- Conditional expectation in quantum probability -- Mutual quadratic variation and ito's table in quantum stochastic calculus -- On mixing properties of automorphisms of von neumann algebras related to measure space transformations -- First exit time: A theory of stopping times in quantum processes -- A central limit theorem on the free lie group -- Entropy, observability and the generalised second law of thermodynamics -- Remarks on asymptotic properties of groups of the bogoliubov transformations of car c*-algebras -- Linear and non-linear stochastic processes -- Detailed balance and critical slowing down -- Quantum martingales and stochastic integrals. 330 $aThese proceedings of the first Quantum Probability meeting held in Oberwolfach is the fourth in a series begun with the 1982 meeting of Mondragone and continued in Heidelberg ('84) and in Leuven ('85). The main topics discussed were: quantum stochastic calculus, mathematical models of quantum noise and their applications to quantum optics, the quantum Feynman-Kac formula, quantum probability and models of quantum statistical mechanics, the notion of conditioning in quantum probability and related problems (dilations, quantum Markov processes), quantum central limit theorems. With the exception of Kümmerer's review article on Quantum Markov Processes, all contributions are original research papers. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1303. 606 $aProbabilities$vCongresses 606 $aStochastic processes$vCongresses 606 $aQuantum theory$vCongresses 606 $aMarkov processes$vCongresses 615 0$aProbabilities 615 0$aStochastic processes 615 0$aQuantum theory 615 0$aMarkov processes 676 $a519.2 701 0$aAccardi$b L$g(Luigi),$f1947-$0319693 701 0$aWaldenfels$b W. von$g(Wilhelm),$f1932-$055332 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466539703316 996 $aQuantum probability and applications$92856074 997 $aUNISA