Wavelet Analysis of One-Dimensional Cosmological Density Fluctuations
نویسندگان
چکیده
Wavelet analysis is proposed as a new tool for studying the large-scale structure formation of the universe. To reveal its usefulness, the wavelet decomposition of one-dimensional cosmological density fluctuations is performed. In contrast with the Fourier analysis, the wavelet analysis has advantage of its ability to keep the information for location of local density peaks in addition to that for their scales. The wavelet decomposition of evolving density fluctuations with various initial conditions is examined. By comparing the wavelet analysis with the usual Fourier analysis, we conclude that the wavelet analysis is promising as the data analysis method for the Sloan Digital Sky Survey and COBE.
منابع مشابه
افت و خیزهای برداری حول جواب وسون
In Wesson's canonical model, the universe is assumed to be five dimensional (5D) empty space time. This model corresponds to a solution of the Einstein field equation in five dimensions which, from a four dimensional point of view, is equivalent to a universe with a positive cosmological constant. In this model, the fifth direction is perpendicular to the four dimensional space time and is not...
متن کاملWavelet Based Estimation of the Derivatives of a Density for m-Dependent Random Variables
Here, we propose a method of estimation of the derivatives of probability density based wavelets methods for a sequence of m−dependent random variables with a common one-dimensional probability density function and obtain an upper bound on Lp-losses for the such estimators.
متن کاملWavelet Based Estimation of the Derivatives of a Density for a Discrete-Time Stochastic Process: Lp-Losses
We propose a method of estimation of the derivatives of probability density based on wavelets methods for a sequence of random variables with a common one-dimensional probability density function and obtain an upper bound on Lp-losses for such estimators. We suppose that the process is strongly mixing and we show that the rate of convergence essentially depends on the behavior of a special quad...
متن کاملCosmological models discrimination with Weak Lensing
Weak gravitational lensing provides a unique method to map directly the dark matter in the Universe. The majority of lensing analyses uses the two-point statistics of the cosmic shear field to constrain the cosmological model yielding degeneracies, such as that between σ8 and Ωm, respectively the r.m.s. of the mass fluctuations at a scale of 8Mpc/h and the matter density parameter both at z = 0...
متن کاملEstimating Power Spectrum of Sunyaev-Zeldovich Effect from the Cross-Correlation between WMAP and 2MASS
We estimate the power spectrum of SZ(Sunyaev-Zel’dovich)-effect-induced temperature fluctuations on sub-degree scales by using the cross correlation between the three-year WMAP maps and 2MASS galaxy distribution. We produced the SZ effect maps by hydrodynamic simulation samples of the ΛCDM model, and show that the SZ effect temperature fluctuations are highly non-Gaussian. The PDF of the temper...
متن کامل