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Geometry of Random Motion

About this Title

Rick Durrett and Mark A. Pinsky, Editors

Publication: Contemporary Mathematics
Publication Year: 1988; Volume 73
ISBNs: 978-0-8218-5081-7 (print); 978-0-8218-7662-6 (online)
DOI: https://doi.org/10.1090/conm/073
MathSciNet review: 954622

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Table of Contents

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Front/Back Matter

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Articles

• Isaac Chavel, Edgar Feldman and Jay Rosen – Fluctuations of the Wiener sausage for surfaces [MR 954623]
• M. Cranston and C. Mueller – A review of recent and older results on the absolute continuity of harmonic measure [MR 954624]
• R. W. R. Darling – Constructing stochastic flows: some examples [MR 954625]
• Jozef Dodziuk and Leon Karp – Spectral and function theory for combinatorial Laplacians [MR 954626]
• Peter G. Doyle – On deciding whether a surface is parabolic or hyperbolic [MR 954627]
• T. E. Duncan – A solvable stochastic control problem in spheres [MR 954628]
• K. D. Elworthy – Brownian motion and the ends of a manifold [MR 954629]
• Masatoshi Fukushima – On holomorphic diffusions and plurisubharmonic functions [MR 954630]
• Peter B. Gilkey – Leading terms in the asymptotics of the heat equation [MR 954631]
• Joseph Glover – Probability and differential equations [MR 954632]
• Pei Hsu – Brownian motion and Riemannian geometry [MR 954633]
• Leon Karp and Mark Pinsky – First-order asymptotics of the principal eigenvalue of tubular neighborhoods [MR 954634]
• Wilfrid S. Kendall – Martingales on manifolds and harmonic maps [MR 954635]
• Yuri Kifer – Harmonic functions on Riemannian manifolds [MR 954636]
• Rémi Léandre – Quantitative and geometric applications of the Malliavin calculus [MR 954637]
• Ming Liao – An independence property of Riemannian Brownian motions [MR 954638]
• Ming Liao and Mark Pinsky – Stochastic parallel translation for Riemannian Brownian motion conditioned to hit a fixed point of a sphere [MR 954639]
• Peter March – Probabilistic interpretation of Hadamard’s variational formulas [MR 954640]
• Carl Mueller – A counterexample for Brownian motion on manifolds [MR 954641]
• Bernt Øksendal – Using random motion to study quasiregular functions [MR 954642]
• E. J. Pauwels and L. C. G. Rogers – Skew-product decompositions of Brownian motions [MR 954643]
• Mark Pinsky – Local stochastic differential geometry, or What can you learn about a manifold by watching Brownian motion? [MR 954644]
• Ross Pinsky – Transience and recurrence for multidimensional diffusions: a survey and a recent result [MR 954645]
• Steven Rosenberg – Semigroup domination and vanishing theorems [MR 954646]
• J. C. Taylor – The Iwasawa decomposition and the limiting behaviour of Brownian motion on a symmetric space of noncompact type [MR 954647]
• N. Th. Varopoulos – Green’s function and harmonic functions on manifolds [MR 954648]