Probing the Fractal Nature of Long GRBs

Details Probing the Fractal Nature of Long GRBs Probing the Fractal Nature of Long GRBs

Aug 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aipc.1358...37m&link_type=abstract

GAMMA RAY BURSTS 2010. AIP Conference Proceedings, Volume 1358, pp. 37-40 (2011).

Physics

Gamma-Rays, Brightness, Brownian Motion, Time Series, Gamma-Ray, Luminosities, Magnitudes, Effective Temperatures, Colors, And Spectral Classification, Brownian Motion, Time Series Analysis, Time Variability

Scientific paper

We interrogated Swift Long GRBs using a Fast Wavelet technique to probe the observed variability for fractal (or self-affine) behavior. Self-affine behavior for a time-series implies a statistical similarity after a particular rescaling transformation from the Affine Group, X(jt) = j-(α-1)/2X(t). It is straightforward to associate the slope parameter, α, with the Hurst exponent, H, and the fractal dimension, D. These measures may hold a key to a better understanding of GRB variability and provide constraints for theoretical models.

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