All Figures

$\begin{figure} \par {\includegraphics[width=7.5cm,clip]{H4732F1.eps} }\vspace*{4mm} {\includegraphics[width=7.5cm,clip]{H4732F2.eps} }\end{figure}$ Figure 1: Top: light curve of simulated noise signal. Bottom: diffusion entropy as a function of the temporal window $\Delta t$ (dashed: $\delta =\delta _{{\rm N}}$ theory, fill: $\delta =0.50$ numerical).
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In the text

$\begin{figure} \par {\includegraphics[width=7.5cm,clip]{H4732F3.eps} }\vspace*{3mm} {\includegraphics[width=7.5cm,clip]{H4732F4.eps} }\end{figure}$ Figure 2: Light curve of the GRB 910429 ( top) and GRB 910601 ( bottom). Data represents the counts as function of time in four different energy channels. From top to bottom: 20-50 keV, 50-100 keV, 100-300 keV, and 300-1000 keV.
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In the text

$\begin{figure} \par {\includegraphics[width=7.5cm,clip]{H4732F5.eps} }\vspace*{3mm} {\includegraphics[width=7.5cm,clip]{H4732F6.eps} }\end{figure}$ Figure 3: Diffusion Entropy of GRB 910429 ( top) and GRB 910601 ( bottom), four different channels. Numerical data (dots). Lines: data fits using functions $A+\delta_i \log(t)$ . The resulting indices $\delta _i$ for the channel 1, 2, 3, 4 are in the legends. Dashed line: noise reference value $\delta _{ {\rm N}}=0.5$ .
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In the text

$\begin{figure} \par\includegraphics[width=15cm,clip]{H4732F7.eps} \end{figure}$ Figure 4: Distribution of the Diffusion Entropy index over a sample of 1224 Long GRB calculated considering the first 2 T90 portion of the light curves. Different panels correspond to different energy channels: 20-50 keV ( top-left), 50-100 keV ( top-right), 100-300 keV ( bottom-left), 300-1000 keV ( bottom-right). DE indices mean and RMS values are shown in legends.
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In the text

$\begin{figure} \par {\includegraphics[width=7.5cm,clip]{H4732F8.eps} }\end{figure}$ Figure 5: Power-complexity relation: the scaling index $\delta (F)$ , which is an estimator of the burst complexity as a function of the total fluence. Empty markers: mean $\delta (F)$ for each channel, as a function of the total fluence. Fill dots: scaling index $\delta (F)$ of the time series resulting by summing the light curve in the four channels as a function of the total fluence. The dash-dotted line is proportional to $A+B \log(F)$ with A = 1.2 and B = 0.07. The scaling indices $\delta (F)$ are averaged over fluence intervals to smooth statistical fluctuations.
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In the text

$\begin{figure} \par {\includegraphics[width=7.5cm,clip]{H4732F9.eps} }\vspace*{3mm} {\includegraphics[width=7.5cm,clip]{H4732F10.eps} }\end{figure}$ Figure 6: Light curves for two simulated burst. The light curves have been scaled in the four channels in order to take into account the different count rate in the different channels. Background noise has been added to the light curve. Top panel: the light curve is obtained using the peak shape of Eq. (5) with $A=30, N_{\rm {p}}=30, t_{\rm {d}}=1$ s. Bottom panel: $A=500, N_{\rm {p}}=5, t_{\rm {d}}=1$ s. The mean waiting time between pulses is $\tau =1$ for both the light curves.
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In the text

$\begin{figure} \par {\includegraphics[width=8cm,clip]{H4732F11.eps} }\end{figure}$ Figure 7: Simulated power-complexity relation. The synthetic light curves are obtained using a fred-like exponential peak shape. In the plot various relations have been obtained by varying the number of the peaks $N_{\rm {p}}$ , the waiting time between two consecutive peaks $\tau$ , andthe duration of the peaks $t_{\rm {d}}$ . Model 1: $N_{\rm {p}}=50, \tau =10, t_{\rm {d}}=1$ . Model 2: $N_{\rm {p}}=50, \tau =1, t_{\rm {d}}=1$ . Model 3: $N_{\rm {p}}=50, \tau =0.1, t_{\rm {d}}=1$ . Model 4: $N_{\rm {p}}=50, \tau =0.1, t_{\rm {d}}=1$ . Model 5: $N_{\rm {p}}=100, \tau =0.1, t_{\rm {d}}=0.1$ . The dashed dotted line corresponds to the observed relations.
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In the text

$\begin{figure} \par {\includegraphics[width=7.5cm,clip]{H4732F12.eps} }\vspace*{3mm} {\includegraphics[width=7.5cm,clip]{H4732F13.eps} }\end{figure}$ Figure 8: Diffusion Entropy as a function of time of GRB 910429 ( top), and GRB 910601 ( bottom). W = 32 s (500 points) and M=0.64 s (10 points). Channel 1: 20-50 keV, Channel 2: 50-100 keV, Channel 3: 100-300 keV, and Channel 4: 300-1000 keV. Curves are averaged over L=10 realizations to smooth statistical fluctuations. The arrows indicate the end of the burst given by the T90 parameters.
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In the text

$\begin{figure} \par {\includegraphics[width=7.5cm,clip]{H4732F1.eps} }\vspace*{4mm} {\includegraphics[width=7.5cm,clip]{H4732F2.eps} }\end{figure}$	Figure 1: Top: light curve of simulated noise signal. Bottom: diffusion entropy as a function of the temporal window $\Delta t$ (dashed: $\delta =\delta _{{\rm N}}$ theory, fill: $\delta =0.50$ numerical).
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$\begin{figure} \par {\includegraphics[width=7.5cm,clip]{H4732F3.eps} }\vspace*{3mm} {\includegraphics[width=7.5cm,clip]{H4732F4.eps} }\end{figure}$	Figure 2: Light curve of the GRB 910429 ( top) and GRB 910601 ( bottom). Data represents the counts as function of time in four different energy channels. From top to bottom: 20-50 keV, 50-100 keV, 100-300 keV, and 300-1000 keV.
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$\begin{figure} \par {\includegraphics[width=7.5cm,clip]{H4732F5.eps} }\vspace*{3mm} {\includegraphics[width=7.5cm,clip]{H4732F6.eps} }\end{figure}$	Figure 3: Diffusion Entropy of GRB 910429 ( top) and GRB 910601 ( bottom), four different channels. Numerical data (dots). Lines: data fits using functions $A+\delta_i \log(t)$ . The resulting indices $\delta _i$ for the channel 1, 2, 3, 4 are in the legends. Dashed line: noise reference value $\delta _{ {\rm N}}=0.5$ .
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$\begin{figure} \par\includegraphics[width=15cm,clip]{H4732F7.eps} \end{figure}$	Figure 4: Distribution of the Diffusion Entropy index over a sample of 1224 Long GRB calculated considering the first 2 T90 portion of the light curves. Different panels correspond to different energy channels: 20-50 keV ( top-left), 50-100 keV ( top-right), 100-300 keV ( bottom-left), 300-1000 keV ( bottom-right). DE indices mean and RMS values are shown in legends.
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