LEADER 04559nam 2200649 450 001 9910480264103321 005 20180810171643.0 010 $a0-8218-7662-7 035 $a(CKB)3240000000069600 035 $a(EBL)3112869 035 $a(SSID)ssj0000629321 035 $a(PQKBManifestationID)11437678 035 $a(PQKBTitleCode)TC0000629321 035 $a(PQKBWorkID)10718230 035 $a(PQKB)10221136 035 $a(MiAaPQ)EBC3112869 035 $a(PPN)197103944 035 $a(EXLCZ)993240000000069600 100 $a19880401h19881988 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometry of random motion $eproceedings of the AMS-IMS-SIAM Joint Summer Research Conference held July l9-25, 1987 with support from the National Science Foundation and the Army Research Office /$fRick Durrett and Mark A. Pinsky, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1988] 210 4$dİ1988 215 $a1 online resource (352 p.) 225 1 $aContemporary mathematics ;$vvolume 73 300 $a"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. 311 $a0-8218-5081-4 320 $aIncludes bibliographies. 327 $a""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"" 327 $a""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"" 327 $a""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""; ""A?0. Brownian motion of a manifold""; ""A?1. Expansion of the laplacian""; ""A?2. Exit time from small balls""; ""A?3. Exit place from small balls""; ""A?4. Independence of exit time and place"" 327 $a""A?5. Principal eigenvalue of small balls""""A?6. Exit time from extrinsic balls""; ""A?7. Exit time from tubular neighborhoods""; ""A?8. Principal eigenvalue of tubular neighborhoods""; ""Transience and recurrence for multidimensional diffusions: a survey and a recent result""; ""Semigroup domination and vanishing theorems""; ""The Iwasawa decomposition and the limiting behavior of Brownian motion on a symmetric space of non-compact type""; ""Green's function and harmonic functions on manifolds"" 410 0$aContemporary mathematics (American Mathematical Society) ;$v73. 606 $aGlobal differential geometry$vCongresses 606 $aElliptic operators$vCongresses 606 $aStochastic analysis$vCongresses 606 $aMarkov processes$vCongresses 608 $aElectronic books. 615 0$aGlobal differential geometry 615 0$aElliptic operators 615 0$aStochastic analysis 615 0$aMarkov processes 676 $a516.3/62 702 $aDurrett$b Richard$f1951- 702 $aPinsky$b Mark A.$f1940- 712 12$aAMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Geometry of Random Motion 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480264103321 996 $aGeometry of random motion$9383663 997 $aUNINA