5,442 research outputs found
Wavelet analysis and scaling properties of time series
We propose a wavelet based method for the characterization of the scaling
behavior of non-stationary time series. It makes use of the built-in ability of
the wavelets for capturing the trends in a data set, in variable window sizes.
Discrete wavelets from the Daubechies family are used to illustrate the
efficacy of this procedure. After studying binomial multifractal time series
with the present and earlier approaches of detrending for comparison, we
analyze the time series of averaged spin density in the 2D Ising model at the
critical temperature, along with several experimental data sets possessing
multi-fractal behavior.Comment: 4 pages, 4 figures. Accepted for publication in PR
Nucleosynthesis in Type I X-ray Bursts
Type I X-ray bursts are thermonuclear explosions that occur in the envelopes
of accreting neutron stars. Detailed observations of these phenomena have
prompted numerous studies in theoretical astrophysics and experimental nuclear
physics since their discovery over 35 years ago. In this review, we begin by
discussing key observational features of these phenomena that may be sensitive
to the particular patterns of nucleosynthesis from the associated thermonuclear
burning. We then summarize efforts to model type I X-ray bursts, with emphasis
on determining the nuclear physics processes involved throughout these bursts.
We discuss and evaluate limitations in the models, particularly with regard to
key uncertainties in the nuclear physics input. Finally, we examine recent,
relevant experimental measurements and outline future prospects to improve our
understanding of these unique environments from observational, theoretical and
experimental perspectives.Comment: Accepted by Prog. Part. Nucl. Phys., 45 pages, 14 figure
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