Brownian Motion and Harmonic Functions on Rotationally Symmetric Manifolds
نویسندگان
چکیده
منابع مشابه
Brownian Motion and Harmonic Functions
The Lie group Sol(p, q) is the semidirect product induced by the action of R on R which is given by (x, y) 7→ (ex, e−qzy), z ∈ R. Viewing Sol(p, q) as a 3-dimensional manifold, it carries a natural Riemannian metric and Laplace-Beltrami operator. We add a linear drift term in the z-variable to the latter, and study the associated Brownian motion with drift. We derive a central limit theorem and...
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The Lie group Sol(p, q) is the semidirect product induced by the action of R on R which is given by (x, y) 7→ (ex, e−qzy), z ∈ R. Viewing Sol(p, q) as a 3-dimensional manifold, it carries a natural Riemannian metric and Laplace-Beltrami operator. We add a linear drift term in the z-variable to the latter, and study the associated Brownian motion with drift. We derive a central limit theorem and...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1986
ISSN: 0091-1798
DOI: 10.1214/aop/1176992438