LEADER 04474nam 2200613 450 001 9910817137803321 005 20220825041057.0 010 $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(RPAM)1492519 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 $aContemporary mathematics,$v73$x0271-4132 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 $a700$ehonoree -- 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. 410 0$aContemporary mathematics (American Mathematical Society).$v73$x0271-4132 606 $aGlobal differential geometry$vCongresses 606 $aElliptic operators$vCongresses 606 $aStochastic analysis$vCongresses 606 $aMarkov processes$vCongresses 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 $a9910817137803321 996 $aGeometry of random motion$9383663 997 $aUNINA