04559nam 2200649 450 991048026410332120180810171643.00-8218-7662-7(CKB)3240000000069600(EBL)3112869(SSID)ssj0000629321(PQKBManifestationID)11437678(PQKBTitleCode)TC0000629321(PQKBWorkID)10718230(PQKB)10221136(MiAaPQ)EBC3112869(PPN)197103944(EXLCZ)99324000000006960019880401h19881988 uy| 0engur|n|---|||||txtccrGeometry of random motion proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July l9-25, 1987 with support from the National Science Foundation and the Army Research Office /Rick Durrett and Mark A. Pinsky, editorsProvidence, Rhode Island :American Mathematical Society,[1988]©19881 online resource (352 p.)Contemporary mathematics ;volume 73"The AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Geometry of Random Motion was held at Cornell University, Ithaca"--Title page verso.0-8218-5081-4 Includes bibliographies.""Contents""; ""Preface""; ""Fluctuations of the Wiener sausage for surfaces""; ""A review of recent and older results on the absolute continuity of harmonic measure""; ""Constructing stochastic flows: some examples""; ""Spectral and function theory for combinatorial Laplacians""; ""On deciding whether a surface is parabolic or hyperbolic""; ""A solvable stochastic control problem in spheres""; ""Brownian motion and the ends of a manifold""; ""On holomorphic diffusions and plurisubharmonic functions""; ""Leading terms in the asymptotics of the heat equation""""Probability theory and differential equations""""Brownian motion and Riemannian geometry""; ""First-order asymptotics of the principal eigenvalue of tubular neighborhoods""; ""1. Introduction""; ""2. Non-geometric expansion in the Ball""; ""3. Cylindrical trace in a hypersurface""; ""4. Case of a tube about a Curve in R3""; ""5. Case of a tube about a hypersurface in Rn""; ""Martingales on manifolds and harmonic maps""; ""Harmonic functions on Riemannian manifolds""; ""Quantitative and geometric applications of the Malliavin calculus""; ""An independence property of Brownian motions""""Stochastic parallel translation for Riemannian Brownian motion conditioned to hit a fixed point of a sphere""""Probabilistic interpretation of Hadamard's variational formulas""; ""A counterexample for Brownian motion on manifolds""; ""Using random motion to study quasiregular functions""; ""Skew-product decompositions of Brownian motions""; ""Local stochastic differential geometry""; ""Â0. Brownian motion of a manifold""; ""Â1. Expansion of the laplacian""; ""Â2. Exit time from small balls""; ""Â3. Exit place from small balls""; ""Â4. Independence of exit time and place""""Â5. Principal eigenvalue of small balls""""Â6. Exit time from extrinsic balls""; ""Â7. Exit time from tubular neighborhoods""; ""Â8. Principal eigenvalue of tubular neighborhoods""; ""Transience and recurrence for multidimensional diffusions: a survey and a recent result""; ""Semigroup domination and vanishing theorems""; ""The Iwasawa decomposition and the limiting behavior of Brownian motion on a symmetric space of non-compact type""; ""Green's function and harmonic functions on manifolds""Contemporary mathematics (American Mathematical Society) ;73.Global differential geometryCongressesElliptic operatorsCongressesStochastic analysisCongressesMarkov processesCongressesElectronic books.Global differential geometryElliptic operatorsStochastic analysisMarkov processes516.3/62Durrett Richard1951-Pinsky Mark A.1940-AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Geometry of Random MotionMiAaPQMiAaPQMiAaPQBOOK9910480264103321Geometry of random motion383663UNINA