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The temporal activity of many biological systems, including neural circuits, exhibits fluctuations simultaneously varying over a large range of timescales. The mechanisms leading to this temporal heterogeneity are yet unknown. Here we show…

Disordered Systems and Neural Networks · Physics 2022-08-03 Merav Stern , Nicolae Istrate , Luca Mazzucato

After reexamining the above barrier diffusion problem where we notice that the wave packet collision implies the existence of {\em multiple} reflected and transmitted wave packets, we analyze the way of obtaining phase times for…

High Energy Physics - Phenomenology · Physics 2010-10-27 Alex E. Bernardini

We demonstrate that a new type of analysis in heavy-ion collisions, based on an event-by-event analysis of the transverse momentum distribution, allows us to obtain information on secondary interactions and collective behaviour that is not…

High Energy Physics - Phenomenology · Physics 2011-09-13 Marek Gazdzicki , Andrei Leonidov , Gunther Roland

Direct numerical simulations (DNS) of turbulent channel flows up to $Re_{\tau} \approx 1000$ are conducted to investigate the three-dimensional (consisting of streamwise wavenumber, spanwise wavenumber and frequency) spectrum of wall…

Fluid Dynamics · Physics 2022-03-14 Bowen Yang , Zixuan Yang

Statistical fluctuations of the nuclear ground state energies are estimated using shell model calculations in which particles in the valence shells interact through well defined forces, and are coupled to an upper shell governed by random…

Nuclear Theory · Physics 2009-11-11 Victor Velazquez , Jorge G. Hirsch , Alejandro Frank , Jose Barea , Andres P. Zuker

The number of particles detected in a nucleus-nucleus collision strongly depends on the impact parameter of the collision. Therefore, multiplicity fluctuations, as well as rapidity correlations of multiplicities, are dominated by impact…

The robustness of two widespread multifractal analysis methods, one based on detrended fluctuation analysis and one on wavelet leaders, is discussed in the context of time-series containing non-uniform structures with only isolated…

Data Analysis, Statistics and Probability · Physics 2020-04-08 Paweł Oświęcimka , Stanisław Drożdż , Mattia Frasca , Robert Gębarowski , Natsue Yoshimura , Luciano Zunino , Ludovico Minati

We propose a stochastic model of a fragmentation process, developed by taking into account fragment lifetime as a function of their size based on the Gibrat process. If lifetime is determined by a power function of fragment size, numerical…

Statistical Mechanics · Physics 2015-06-22 Shin-ichi Ito , Satoshi Yukawa

We study the fragmentation (far forward/backward) region of heavy ion collisions by considering an at-rest nucleus which is struck by a relativistic sheet of colored glass. By means of a simple classical model, we calculate the subsequent…

High Energy Physics - Phenomenology · Physics 2021-05-05 Isobel Kolbé , Mawande Lushozi , Larry D. McLerran , Gongming Yu

The process of nuclear multifragmentation has been implemented, together with evaporation and fission channels of the disintegration of excited remnants in nucleus-nucleus collisions using percolation theory and the intranuclear cascade…

Nuclear Theory · Physics 2009-11-07 G. Musulmanbekov , A. Al--Haidary

A study of correlations in tractable multiparticle cascade models in terms of wavelets reveals many promising features. The selfsimilar construction of the wavelet basis functions and their multiscale localization properties provide a new…

High Energy Physics - Phenomenology · Physics 2016-09-01 Martin Greiner , Jens Giesemann , Peter Lipa , Peter Carruthers

A method based on wavelet transform and genetic programming is proposed for characterizing and modeling variations at multiple scales in non-stationary time series. The cyclic variations, extracted by wavelets and smoothened by cubic…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Dilip P. Ahalpara , Amit Verma , Prasanta K. Panigrahi , Jitendra C. Parikh

We perform quantum calculations of fluctuations of the electromagnetic fields in $AA$ collisions at RHIC and LHC energies. Calculations are performed with the help of the fluctuation-dissipation theorem accounting for the giant dipole and…

Nuclear Theory · Physics 2019-03-27 B. G. Zakharov

We present experimental studies of the power spectrum and other fluctuation properties in the spectra of microwave networks simulating chaotic quantum graphs with violated time reversal in- variance. On the basis of our data sets we…

Chaotic Dynamics · Physics 2016-11-03 Malgorzata Bialous , Vitalii Yunko , Szymon Bauch , Michal Lawniczak , Barbara Dietz , Leszek Sirko

For odd anharmonic oscillators, it is well known that complex scaling can be used to determine resonance energy eigenvalues and the corresponding eigenvectors in complex rotated space. We briefly review and discuss various methods for the…

Mathematical Physics · Physics 2008-02-20 U. D. Jentschura , A. Surzhykov , M. Lubasch , J. Zinn-Justin

Isoscalar collective modes in a relativistic meson-nucleon system are investigated in the framework of the time-dependent Thomas-Fermi method. The energies of the collective modes are determined by solving consistently the dispersion…

Nuclear Theory · Physics 2008-11-26 C. da Providência , L. Brito , J. da Providência , M. Nielsen , X. Viñas

The ensemble averaged power scattered in and out of lossless chaotic cavities decays as a power law in time for large times. In the case of a pulse with a finite duration, the power scattered from a single realization of a cavity closely…

Statistical Mechanics · Physics 2009-11-13 James A. Hart , Thomas M. Antonsen , Edward Ott , Stephen M. Anlage

We investigate fluctuation phenomena for the graph distance and the number of cut points associated with random media arising from the range of a random walk. Our results demonstrate a sequence of dimension-dependent phase transitions in…

Probability · Mathematics 2026-03-18 Arka Adhikari , Izumi Okada

Covariances and variances of linear statistics of a point process can be written as integrals over the truncated two-point correlation function. When the point process consists of the eigenvalues of a random matrix ensemble, there are often…

Mathematical Physics · Physics 2022-05-04 Peter J. Forrester

The aim of this review article is to give a comprehensive description of the scaling properties detected for the distribution of cosmic structures. Due to the great variety of statistical methods to describe the large-scale structure of the…

Astrophysics · Physics 2008-11-26 Stefano Borgani