Exponential Bounds for the Distribution of the Maximum of a Non-Gaussian Random Field

1991 ◽  
Vol 35 (3) ◽  
pp. 487-499 ◽  
Author(s):  
E. I. Ostrovskii
Keyword(s):  
Random Field ◽  
Gaussian Random Field ◽  
Distribution Of The Maximum ◽  
Exponential Bounds ◽  
Non Gaussian

scholarly journals THE TOPOLOGY OF THE COSMIC MICROWAVE BACKGROUND ANISOTROPY ON THE SCALE ~1°

1996 ◽  
Vol 05 (04) ◽  
pp. 319-362 ◽  
Author(s):  
D.I. NOVIKOV ◽  
H.E. JØRGENSEN
Keyword(s):  
Cosmic Microwave Background ◽  
Random Field ◽  
Gaussian Noise ◽  
Gaussian Random Field ◽  
Cosmological Models ◽  
Topological Method ◽  
Microwave Background ◽  
Cosmic Microwave Background Anisotropy ◽  
Non Gaussian

In this paper we develop the theory of clusterization of peaks in a Gaussian random field. We have obtained new mathematical results from this theory and the theory of percolation and have proposed a topological method of analysis of sky maps based on these results. We have simulated 10°×10° sky maps of the cosmic microwave background anisotropy expected from different cosmological models with 0.5°–1° resolution in order to demonstrate how this method can be used for detection of non-Gaussian noise in the maps and detection of the Doppler-peak in the spectrum of perturbation of ΔT/T.

scholarly journals Extrema statistics in the dynamics of a non-Gaussian random field

2013 ◽  
Vol 87 (2) ◽  
Author(s):  
T. H. Beuman ◽  
A. M. Turner ◽  
V. Vitelli
Keyword(s):  
Random Field ◽  
Gaussian Random Field ◽  
Non Gaussian

A non-Gaussian random field model for earthquake slip

2019 ◽  
Vol 23 (4) ◽  
pp. 889-912 ◽  
Author(s):  
J. Dhanya ◽  
S. T. G. Raghukanth
Keyword(s):  
Random Field ◽  
Field Model ◽  
Gaussian Random Field ◽  
Random Field Model ◽  
Non Gaussian

scholarly journals Critical and umbilical points of a non-Gaussian random field

2013 ◽  
Vol 88 (1) ◽  
Author(s):  
T. H. Beuman ◽  
A. M. Turner ◽  
V. Vitelli
Keyword(s):  
Random Field ◽  
Gaussian Random Field ◽  
Umbilical Points ◽  
Non Gaussian

scholarly journals ULTRAMETRIC RANDOM FIELD

2006 ◽  
Vol 09 (02) ◽  
pp. 199-213 ◽  
Author(s):  
A. YU. KHRENNIKOV ◽  
S. V. KOZYREV
Keyword(s):  
Wavelet Analysis ◽  
Random Field ◽  
Stochastic Equation ◽  
Gaussian Random Field ◽  
Ultrametric Space ◽  
Ultrametric Spaces

Gaussian random field on general ultrametric space is introduced as a solution of pseudodifferential stochastic equation. Covariation of the introduced random field is computed with the help of wavelet analysis on ultrametric spaces. Notion of ultrametric Markovianity, which describes independence of contributions to random field from different ultrametric balls is introduced. We show that the random field under investigation satisfies this property.

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