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Correlations in music that exist within its waveform are studied. Monophonic wave files of random music are generated and the probability distribution function of time interval between large signal values is analyzed. A power law behavior…

Adaptation and Self-Organizing Systems · Physics 2008-11-25 Vishnu Sreekumar , Mahendra K. Verma , Gaurav Narain , Venkatesh K. S

We analyze BATSE time-tagged event (TTE) data for short gamma-ray bursts (T90 duration < 2.6 s), studying spectral lag vs. peak flux and duration, as well as the number of distinct pulse structures per burst. Performing the…

Astrophysics · Physics 2009-11-06 J. P. Norris , J. D. Scargle , J. T. Bonnell

Relativistic shock models of gamma-ray bursts may be tested by comparison of their predicted low energy asymptotic spectral indices s to observations. Synchrotron radiation theory predicts that the instantaneous spectrum has s = - 1/3 and…

Astrophysics · Physics 2009-10-30 E. Cohen , J. I. Katz , T. Piran , R. Sari , R. D. Preece , D. L. Band

The energy and waiting time distributions are important properties for understanding the physical mechanism of repeating fast radio bursts (FRBs). Recently, the Five-hundred-meter Aperture Spherical radio Telescope (FAST) detected the…

High Energy Astrophysical Phenomena · Physics 2021-10-20 G. Q. Zhang , P. Wang , Q. Wu , F. Y. Wang , D. Li , Z. G. Dai , B. Zhang

Brightness dependent correlations have been conclusively detected in the average time profiles of gamma-ray bursts (GRBs). Determining the time constants of the stretched exponential slopes of the average peak-aligned time profile of GRBs…

Astrophysics · Physics 2009-10-30 Boris Stern , Juri Poutanen , Roland Svensson

Kouveliotou et al. (1993) recently confirmed that gamma-ray bursts are bimodal in duration. In this paper we compute the statistical properties of the short ($\le 2$~s) and long ($>2$~s) bursts using a method of analysis that makes no…

Astrophysics · Physics 2009-10-22 Shude Mao , Ramesh Narayan , Tsvi Piran

The study of human dynamics has attracted much interest from many fields recently. In this paper, the fractal characteristic of human behaviors is investigated from the perspective of time series constructed with the amount of library…

Physics and Society · Physics 2015-05-20 Chao Fan , Jin-Li Guo , Yi-Long Zha

The brightest events in a time series of cosmological transients obey an observation time dependence which is often overlooked. This dependence can be exploited to probe the global properties of electromagnetic and gravitational wave…

High Energy Astrophysical Phenomena · Physics 2015-05-19 E. Howell , D. Coward , R. Burman , D. Blair

Linear stability analysis of speckle pattern resulting from multiple, diffuse scattering of coherent light waves in random media with intensity-dependent refractive index (noninstantaneous Kerr nonlinearity) is performed. The speckle…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. E. Skipetrov

Wireless sensor networks usually comprise a large number of sensors monitoring changes in variables. These changes in variables represent changes in physical quantities. The changes can occur for various reasons; these reasons are…

Machine Learning · Computer Science 2017-08-29 Pelumi Oluwasanya

In this study we aim for a deeper understanding of the power law slope, $\alpha$, of waiting time distributions. Statistically independent events with linear behavior can be characterized by binomial, Gaussian, exponential, or Poissonian…

Solar and Stellar Astrophysics · Physics 2021-11-17 Markus J. Aschwanden , Jay R. Johnson , Yosia I. Nurhan

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

Statistical Mechanics · Physics 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

Many astrophysical phenomena are time-varying, in the sense that their brightness change over time. In the case of periodic stars, previous approaches assumed that changes in period, amplitude, and phase are well described by either…

Methodology · Statistics 2022-02-02 Giovanni Motta , Darlin Soto , Márcio Catelan

We study the phenomenon of weak ergodicity breaking for a class of globally correlated random walk dynamics defined over a finite set of states. The persistence in a given state or the transition to another one depends on the whole previous…

Statistical Mechanics · Physics 2016-12-28 Adrian A. Budini

Spreading phenomena on networks are essential for the collective dynamics of various natural and technological systems, from information spreading in gene regulatory networks to neural circuits or from epidemics to supply networks…

Physics and Society · Physics 2021-06-01 Justine Wolter , Benedict Lünsmann , Xiaozhu Zhang , Malte Schröder , Marc Timme

Wind and solar power are known to be highly influenced by weather events and may ramp up or down abruptly. Such events in the power production influence not only the availability of energy, but also the stability of the entire power grid.…

Data Analysis, Statistics and Probability · Physics 2016-07-20 M. Anvari , G. Lohmann , M. Wächter , P. Milan , E. Lorenz , D. Heinemann , M. Reza Rahimi Tabar , Joachim Peinke

It is now known that the emission from radio pulsars can vary over a wide range of timescales, from fractions of seconds to decades. However, it is not yet known if long- and short-term emission variability are caused by the same physical…

High Energy Astrophysical Phenomena · Physics 2019-08-28 Paul Brook , Aris Karastergiou , Simon Johnston

Fast radio bursts (FRBs) are millisecond-duration radio signals occurring at cosmological distances. However the physical model of FRBs is mystery, many models have been proposed. Here we study the frequency distributions of peak flux,…

High Energy Astrophysical Phenomena · Physics 2017-03-22 F. Y. Wang , H. Yu

In a communication scheme, there exist points at the transmitter and at the receiver where the wave is reduced to a finite set of functions of time which describe amplitudes and phases. For instance, the information is summarized in…

Data Analysis, Statistics and Probability · Physics 2014-11-20 Bernard Lacaze

Here we numerically study a model of excitable media, namely, a network with occasionally quiet nodes and connection weights that vary with activity on a short-time scale. Even in the absence of stimuli, this exhibits unstable dynamics,…

Disordered Systems and Neural Networks · Physics 2015-05-19 S. de Franciscis , J. J. Torres , J. Marro