On higher-dimensional analogues of the arc-sine law

DOI10.2307/3214239zbMath0644.60084OpenAlexW4237550593MaRDI QIDQ3787247

Nicholas H. Bingham, Ronald Arthur Doney

Publication date: 1988

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3214239

zbMATH Keywords

arc-sine law for a Brownian motionoccupation time of the positive quadrant

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65)

Related Items (12)

Sample path behaviour in connection with generalized arcsine laws ⋮ Expected number of real roots of random trigonometric polynomials ⋮ Invariance principles for logarithmic averages ⋮ A multidimensional analogue of the arcsine law for the number of positive terms in a random walk ⋮ Occupation times for single-file diffusion ⋮ On occupation times of the first and third quadrants for planar Brownian motion ⋮ A remark on positive sojourn times of symmetric processes ⋮ On the occupation times of cones by Brownian motion ⋮ A lifetime of excursions through random walks and Lévy processes ⋮ The intermediate arc-sine law ⋮ Absorption probabilities for Gaussian polytopes and regular spherical simplices ⋮ Arcsine laws for random walks generated from random permutations with applications to genomics

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