Research Output per year

## Fingerprint Dive into the research topics where Dan Cheng is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Gaussian Random Field
Mathematics

Excursion
Mathematics

Euler Characteristic
Mathematics

Extremes
Mathematics

Gaussian Fields
Mathematics

Riemannian Manifold
Mathematics

Rectangle
Mathematics

Overshoot
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 2014 2019

- 9 Article

## Extremes of spherical fractional Brownian motion

Cheng, D. & Liu, P., Sep 15 2019, In : Extremes. 22, 3, p. 433-457 25 p.Research output: Contribution to journal › Article

Gaussian Random Field

Excursion

Brownian movement

Fractional Brownian Motion

Unit Sphere

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

Cheng, D. & Schwartzman, A., Nov 2018, In : Bernoulli. 24, 4B, p. 3422-3446 25 p.Research output: Contribution to journal › Article

Gaussian Random Field

Covariance Function

Euclidean space

Critical point

Gaussian Fields

## Excursion probabilities of isotropic and locally isotropic Gaussian random fields on manifolds

Cheng, D., Jun 1 2017, In : Extremes. 20, 2, p. 475-487 13 p.Research output: Contribution to journal › Article

Gaussian Fields

Gaussian Random Field

Excursion

Euler Characteristic

Riemannian Manifold

## Multiple testing of local maxima for detection of peaks in random fields

Cheng, D. & Schwartzman, A., Apr 2017, In : Annals of Statistics. 45, 2, p. 529-556 28 p.Research output: Contribution to journal › Article

Kernel Smoothing

Gaussian Random Field

Multiple Testing

Image Analysis

Random Field

## Excursion probability of certain non-centered smooth Gaussian random fields

Cheng, D., Mar 2016, In : Stochastic Processes and their Applications. 126, 3, p. 883-905 23 p.Research output: Contribution to journal › Article

Gaussian Random Field

Excursion

Euler Characteristic

Rectangle

Parameter Space

## Projects 2018 2021

- 1 Active

## Collaborative Research: Critical Points and Excursion Probability...

National Science Foundation (NSF)

9/10/18 → 6/30/21

Project: Research project

critical point

signal detection

oceanography

range (extremes)

random noise