Dan Cheng

most citedOn the Explicit Height Distribution and Expected Number of Local Maxima of Isotropic Gaussian Random Fields

16 citations · 17 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2015★ 1 cited

Excursion Probabilities of Isotropic and Locally Isotropic Gaussian Random Fields on Manifolds

Dan Cheng

Let $X = {X (p), p \in M}$ be a centered Gaussian random field, where $M$ is a smooth Riemannian manifold. For a suitable compact subset $D \subset M$ , we obtain the approximations t…

math.PR2015★ 16 cited

On the Explicit Height Distribution and Expected Number of Local Maxima of Isotropic Gaussian Random Fields

Dan Cheng, Armin Schwartzman

The explicit formulae for the height distribution and expected number of local maxima have been obtained for isotropic Gaussian random fields on certain low-dimensional Euclidean s…

math.PR2015

Excursion Probability of Certain Non-centered Smooth Gaussian Random Fields

Dan Cheng

Let $X = {X (t) : t \in T}$ be a non-centered, unit-variance, smooth Gaussian random field indexed on some parameter space $T$ , and let $A_{u} (X, T) = {t \in T : X (t) \geq u}$ be the e…