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Janson, Locantore and Rapoport studied the threshold function for the Sidon property and gave the exact probability distribution in 1999 (see [2]):... Theorem 1.3 (Godbole,
Key words: stochastic differential equations, Brownian motion, Law of the Iterated Logarithm, Motoo’s theorem, stochastic comparison principle, stationary processes,
We prove that the Hausdorff dimension of the frontier equals 2(1 − α ) where α is an exponent for Brownian motion called the two-sided disconnection exponent.. In particular, using
Our main subjects in the present paper are divergence formulae for two types of Wiener spaces consisting of a Brownian motion starting from zero and a pinned Brownian motion
In [2] Aldous considers a tree constructed within the standard Brownian excursion, and shows that after conditioning on the occupation measure of the excursion, the law of the tree
GUE, eigenvalues of random matrices, Hermitian Brownian motion, non-colliding Brownian motions, Weyl chamber, queues in series, Burke’s theorem, reversibility, Pitman’s representa-
Key words: Brownian sheet, sectorial local nondeterminism, image, Salem sets, multiple points, Hausdorff dimension, packing dimension.. AMS 2000 Subject Classification: Primary
Key words: Interacting Brownian motions, Brownian intersection local times, large deviations, occupation measure, Gross-Pitaevskii formula.. AMS 2000 Subject Classification:
