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- W2071492571 abstract "Let M be a Cartan-Hadamard manifold of dimension d ≧ 3, let p ϵ M and x = exp {r(x)θ(x)} be geodesic polar coordinates with pole p and let X be the Brownian motion on M. Let SectM(x) denote the sectional curvature of any plane section in Mx. We prove that for each c > 2, there is a 0 < β < 1 such that if - L2r(x)2β ≦ SectM(x) ≦ -cr(x)−2 for all x in the complement of a compact set, then limt → ∞ θ(Xt) exists a.s. and defines a nontrivial invariant random variable. The Dirichlet problem at infinity and a conjecture of Greene and Wu are also discussed." @default.
- W2071492571 created "2016-06-24" @default.
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- W2071492571 date "1985-11-01" @default.
- W2071492571 modified "2023-09-25" @default.
- W2071492571 title "The limiting angle of certain riemannian brownian motions" @default.
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- W2071492571 doi "https://doi.org/10.1002/cpa.3160380608" @default.
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