Sectorial local non-determinism and the geometry of the Brownian sheet

DOI10.1214/EJP.v11-353zbMath1111.60020MaRDI QIDQ850429

Yimin Xiao, Davar Khoshnevisan, Dong Sheng Wu

Publication date: 3 November 2006

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

Full work available at URL: https://eudml.org/doc/127308

Mathematics Subject Classification ID

Gaussian processes (60G15) Sample path properties (60G17) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Fractals (28A80)

Related Items (15)

Local nondeterminism and local times of the stochastic wave equation driven by fractional-colored noise ⋮ Properties of Strong Local Nondeterminism and Local Times of Stable Random Fields ⋮ Dimensional properties of fractional Brownian motion ⋮ Strong local nondeterminism and exact modulus of continuity for isotropic Gaussian random fields on compact two-point homogeneous spaces ⋮ Critical Brownian sheet does not have double points ⋮ Sample Paths Properties of the Set-Indexed Fractional Brownian Motion ⋮ Dimension results for space-anisotropic Gaussian random fields ⋮ The zero set of fractional Brownian motion is a Salem set ⋮ Some sample path properties of multifractional Brownian motion ⋮ Joint continuity of the local times of fractional Brownian sheets ⋮ Local times of multifractional Brownian sheets ⋮ The Hausdorff measure of the range and level sets of Gaussian random fields with sectorial local nondeterminism ⋮ Uniform dimension results for Gaussian random fields ⋮ Restricted Hausdorff content, Frostman's lemma and Choquet integrals ⋮ Hausdorff dimension of the boundary of bubbles of additive Brownian motion and of the Brownian sheet

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