Dan Cheng

The mean Euler characteristic and excursion probability of Gaussian random fields with stationary increments.

Let

Multiple Testing of Local Maxima for Detection of Peaks in Random Fields

X=\{X(t),t\in {\mathbb{R}}^N\}

Expected number and height distribution of critical points of smooth isotropic Gaussian random fields

be a centered Gaussian random field with stationary increments and

Distribution of the Height of Local Maxima of Gaussian Random Fields.

X(0)=0

Excursion probability of Gaussian random fields on sphere

. For any compact rectangle

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

T\subset {\mathbb{R}}^N

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

and

Multiple Testing of Local Extrema for Detection of Change Points

u\in {\mathbb{R}}

Multiple testing of local maxima for detection of peaks on the (celestial) sphere

, denote by

Double extreme on joint sets for Gaussian random fields

A_u=\{t\in T:X(t)\geq u\}