The invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D

Details The invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D The invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D

2009-07-09

arxiv.org/abs/0907.1437v2

Phys.Rev.D80:081301,2009

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

4 pages, 2 figures. Corrected expansion coefficients for orders n>=5. Relation between Gram-Charlier and Edgeworth expansions

Scientific paper

10.1103/PhysRevD.80.081301

The full moments expansion of the joint probability distribution of an
isotropic random field, its gradient and invariants of the Hessian is presented
in 2 and 3D. It allows for explicit expression for the Euler characteristic in
ND and computation of extrema counts as functions of the excursion set
threshold and the spectral parameter, as illustrated on model examples.

Affiliated with

Also associated with

No associations

Rating

The invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The invariant joint distribution of a stationary random field and its derivatives: Euler characteristic and critical point counts in 2 and 3D will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340984