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On Multifractionality Of Spherical Random Fields With Cosmological Applications

This paper investigates spatial data on the unit sphere. Traditionally, isotropic Gaussian random fields are considered as the underlying mathematical model of the cosmic microwave background (CMB) data. We discuss the generalized multifractional Brownian motion and its pointwise Hölder exponent on the sphere. The multifractional approach is used to investigate the CMB data from the Planck mission. These data consist of CMB radiation measurements at narrow angles of the sky sphere. The results obtained suggest that the estimated Hölder exponents for different CMB regions do change from location to location. Therefore, the CMB temperature intensities are multifractional. The methodology developed is used to suggest two approaches for detecting regions with anomalies in the cleaned CMB maps.

Ketersediaan

Informasi Detail

Judul Seri

THE ANZIAM JOURNAL; Vol.64 Issue 2 April 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 90-118

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

RANDOM FIELDS
MULTIFRACTIONALITY
HOLDER EXPONENT
SPHERICAL STATISTICS
COSMIC MICROWAVE BACKGROUND RADIATION
CMB ANOMALIES

Info Detail Spesifik

DOI: https://doi.org/10.1017/S1446181122000104

Pernyataan Tanggungjawab

Philip Broadbridge, Ravindi Nanayakkara, Andriy Olenko

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