LEADER 04524nam 22006375 450 001 9910254079603321 005 20230725173237.0 010 $a3-319-07245-5 024 7 $a10.1007/978-3-319-07245-6 035 $a(CKB)3710000000829549 035 $a(DE-He213)978-3-319-07245-6 035 $a(MiAaPQ)EBC4635872 035 $z(PPN)258849592 035 $a(PPN)194803627 035 $a(EXLCZ)993710000000829549 100 $a20160810d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStochastic and Infinite Dimensional Analysis /$fedited by Christopher C. Bernido, Maria Victoria Carpio-Bernido, Martin Grothaus, Tobias Kuna, Maria João Oliveira, José Luís da Silva 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2016. 215 $a1 online resource (X, 300 p. 12 illus., 5 illus. in color.) 225 1 $aTrends in Mathematics,$x2297-0215 311 $a3-319-07244-7 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPreface -- Along paths inspired by Ludwig Streit: Stochastic equations for quantum fields and related systems -- Detecting hierarchical communities in net-works: a new approach -- Transition Probabilities for Processes with Memory on Topological Non-trivial Spaces -- Generalized Scaling Operators in White Noise Analysis and Applications to Hamiltonian Path Integrals with Quadratic Action -- Computer Simulations of Self-Repelling Fractional Brownian Motion -- Principal Solutions Revisited -- Laplace operators in gamma analysis -- 38 years with Professor Ludwig Streit -- Quasi-analyticity and determinacy of the full moment problem from finite to infinite dimensions -- Elements for the Retrieval of the Solar Spectrum on the Surface of Mars from an Array of Photodiodes -- Stochastic processes on ends of tree and Dirichlet forms -- Completing Canonical Quantization, and Its Role in Nontrivial Scalar Field Quantization -- Stochastic solutions of nonlinear PDE's and an extension of superprocesses -- Maximum likelihood drift estimation for the mixing of two fractional Brownian motions -- Existence of density for solutions of mixed stochastic equations. 330 $aThis volume presents a collection of papers covering applications from a wide range of systems with infinitely many degrees of freedom studied using techniques from stochastic and infinite dimensional analysis, e.g. Feynman path integrals, the statistical mechanics of polymer chains, complex networks, and quantum field theory. Systems of infinitely many degrees of freedom create their particular mathematical challenges which have been addressed by different mathematical theories, namely in the theories of stochastic processes, Malliavin calculus, and especially white noise analysis. These proceedings are inspired by a conference held on the occasion of Prof. Ludwig Streit?s 75th birthday and celebrate his pioneering and ongoing work in these fields. 410 0$aTrends in Mathematics,$x2297-0215 606 $aProbabilities 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 608 $aConference papers and proceedings.$2fast 615 0$aProbabilities. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aProbability Theory and Stochastic Processes. 615 24$aApplications of Mathematics. 676 $a530.143 702 $aBernido$b Christopher C$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCarpio-Bernido$b Maria Victoria$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGrothaus$b Martin$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKuna$b Tobias$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aOliveira$b Maria João$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $ada Silva$b José Luís$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254079603321 996 $aStochastic and infinite dimensional analysis$91523652 997 $aUNINA