04474nam 2200613 450 991081713780332120220825041057.00-8218-7662-7(CKB)3240000000069600(EBL)3112869(SSID)ssj0000629321(PQKBManifestationID)11437678(PQKBTitleCode)TC0000629321(PQKBWorkID)10718230(PQKB)10221136(MiAaPQ)EBC3112869(RPAM)1492519(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,730271-4132"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.700honoree -- 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 -- 0. Brownian motion of a manifold -- 1. Expansion of the laplacian -- 2. Exit time from small balls -- 3. Exit place from small balls -- 4. Independence of exit time and place -- 5. Principal eigenvalue of small balls -- 6. Exit time from extrinsic balls -- 7. Exit time from tubular neighborhoods -- 8. 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).730271-4132Global differential geometryCongressesElliptic operatorsCongressesStochastic analysisCongressesMarkov processesCongressesGlobal 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 MotionMiAaPQMiAaPQMiAaPQBOOK9910817137803321Geometry of random motion383663UNINA