Publications (14)
The random growth of interfaces as a subordinated process
R. Failla, P. Grigolini, M. Ignaccolo +1
We study the random growth of surfaces from within the perspective of a single column, namely, the fluctuation of the column height around the mean value, y(t)= h(t)-< h(t)>, which…
Aging Induced Multifractality
P. Allegrini, J. Bellazzini, G. Bramanti +3
We show that the dynamic approach to Lévy statistics is characterized by aging and multifractality, induced by an ultra-slow transition to anomalous scaling. We argue that these a…
Towards the timely detection of toxicants
M. Ignaccolo, P. Grigolini, G. Gross
We address the problem of enhancing the sensitivity of biosensors to the influence of toxicants, with an entropy method of analysis, denoted as CASSANDRA, recently invented for the…
Probability flux as a method for detecting scaling
M. Ignaccolo, P. Grigolini, B. J. West
We introduce a new method for detecting scaling in time series. The method uses the properties of the probability flux for stochastic self-affine processes and is called the probab…
Automated Chirp Detection with Diffusion Entropy: Application to Infrasound from Sprites
M. Ignaccolo, T. Farges, E. Blanc +1
We study the performance of three different methods to automatically detect a chirp in background noise. (1) The standard deviation detector uses the computation of the signal to n…
Dynamics of EEG Entropy: beyond signal plus noise
M. Ignaccolo, M. Latka, W. Jernajczyk +2
EEG time series are analyzed using the diffusion entropy method. The resulting EEG entropy manifests short-time scaling, asymptotic saturation and an attenuated alpha-rhythm modula…
Renewal and memory properties in the random growth of surfaces
R. Cakir, P. Grigolini, M. Ignaccolo
We use the model of ballistic deposition as a simple way to establish cooperation among the columns of a growing surface, \emph{the single individual of the same society}. We show…
Scaling in Non-stationary time series I
M. Ignaccolo, P. Allegrini, P. Grigolini +2
Most data processing techniques, applied to biomedical and sociological time series, are only valid for random fluctuations that are stationary in time. Unfortunately, these data a…
The Dynamics of EEG Entropy
M. Ignaccolo, M. Latka, W. Jernajczyk +2
EEG time series are analyzed using the diffusion entropy method. The resulting EEG entropy manifests short-time scaling, asymptotic saturation and an attenuated alpha-rhythm modula…
The Failure of the Ergodic Assumption
M. Ignaccolo, M. Latka, B. J. West
The well established procedure of constructing phenomenological ensemble from a single long time series is investigated. It is determined that a time series generated by a simple U…
Universality of the rainfall phenomenon
M. Ignaccolo, C. De Michele, S. Bianco
We show that the universal properties of the rainfall phenomenon are the scaling properties of the probability density function of inter-drop intervals during quiescent periods, ti…
Compression and diffusion: a joint approach to detect complexity
P. Allegrini, V. Benci, P. Grigolini +8
The adoption of the Kolmogorov-Sinai (KS) entropy is becoming a popular research tool among physicists, especially when applied to a dynamical system fitting the conditions of vali…
Scaling in Non-stationary Time Series II: Teen Birth Phenomenon
M. Ignaccolo, P. Allegrini, P. Grigolini +2
This paper is devoted to the problem of statistical mechanics raised by the analysis of an issue of sociological interest: the teen birth phenomenon. It is expected that these data…
Stromatolites: why do we care?
M. Ignaccolo, A. Schwettmann, R. Failla +2
We apply the method of Diffusion Entropy (DE) to the study of stromatolites by means of a two-dimensional procedure that makes it possible for us to compare the DE analysis to the…