Laws of the iterated logarithm for Brownian motions on compact manifolds

Author:

Brosamler G. A.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis,General Mathematics,Statistics and Probability,Analysis

Reference9 articles.

1. Baxter, J.R., Brosamler, G.A.: Energy and the Law of the Iterated Logarithm. Math. Scand. 38, 115?136 (1976)

2. Bolthausen, E.: On the Asymptotic Behaviour of the Empirical Random Field of Brownian Motion. To appear

3. Hörmander, L.: The Spectral Function of an Elliptic Operator. Acta Math. 121, 193?218 (1968)

4. Kuelbs, J.: The Law of the Iterated Logarithm and Related Strong Convergence Theorems for Banach Space Valued Random Variables, Lecture Notes in Math. 539, 224?314. Berlin-Heidelberg-New York: Springer 1976

5. Minakshisundaram, S., Pleijel, A.: Some Properties of the Eigenfunctions of the Laplace-Operator on Riemannian Manifolds. Canad. J. Math. 1, 242?256 (1949)

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3. A simultaneous almost everywhere central limit theorem for diffusions and its application to path energy and eigenvalues of the Laplacian;Illinois Journal of Mathematics;1990-09-01

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