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We discuss an event-by-event fluctuation analysis of particle production in heavy ion collisions. We compare different approaches to the evaluation of the event-by-event dynamical fluctuations in quantities defined on groups of particles,…

Nuclear Theory · Physics 2009-10-31 S. A. Voloshin , V. Koch , H. G. Ritter

In an effort to understand the fundamental physics of turbulent transport of particles and heat in a tokamak, the floating potential fluctuations in the the scrape-off layer plasma of ohmically heated ADITYA tokamak are analysed for…

Plasma Physics · Physics 2007-05-23 R. Jha , P. K. Kaw , D. R. Kulkarni , J. C. Parikh , ADITYA Team

We provide a critical overview of the $\Phi$ measure of fluctuations and correlations. In particular we show that its discriminating power is rather limited in situations encountered in experiment.

High Energy Physics - Phenomenology · Physics 2009-04-15 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

Statistical fluctuations of the light emitted from amplifying random media are studied theoretically and numerically. The characteristic scales of the diffusive motion of light lead to Gaussian or power-law (Levy) distributed fluctuations…

We establish distributional limit theorems for the shape statistics of a concave majorant (i.e. the fluctuations of its length, its supremum, the time it is attained and its value at $T$) of any L\'evy process on $[0,T]$ as $T\to\infty$.…

Probability · Mathematics 2023-11-20 David Bang , Jorge Ignacio González Cázares , Aleksandar Mijatović

Entries of datasets are often collected only if an event occurred: taking a survey, enrolling in an experiment and so forth. However, such partial samples bias classical correlation estimators. Here we show how to correct for such sampling…

Methodology · Statistics 2016-01-05 P-A. G. Maugis

Measurements of inclusive observables, such as particle multiplicities and momentum spectra, have already delivered important information on soft-inclusive ("minimum-bias") physics at the Large Hadron Collider. In order to gain a more…

High Energy Physics - Phenomenology · Physics 2015-03-18 Kenneth Wraight , Peter Skands

This paper presents a new event-based method for detecting and tracking features from the output of an event-based camera. Unlike many tracking algorithms from the computer vision community, this process does not aim for particular…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Laurent Dardelet , Sio-Hoi Ieng , Ryad Benosman

Practical methods for quantitative analysis of radial and angular coordinates of leafy organs of vascular plants are presented and applied to published phyllotactic patterns of various real systems from young leaves on a shoot tip to…

Biological Physics · Physics 2012-12-17 Takuya Okabe

Price fluctuations in financial markets can be characterized by L\'evy's stable distribution, which is supported by the generalized central limit system. When the stable parameters were estimated from four different stock markets in long…

Statistical Finance · Quantitative Finance 2018-02-21 Takumi Fukunaga , Ken Umeno

A novel model of transport is proposed to explain power law current transients and memory phenomena observed in partially ordered arrays of semiconducting nanocrystals. The model describes electron transport by a stationary Levy process of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. S. Novikov , M. Drndic , L. S. Levitov , M. A. Kastner , M. V. Jarosz , M. G. Bawendi

We address the statistical inference of a time-dependent rate of events in the framework of Bayesian field theory. This maps the problem to a Langevin equation which, beyond the local linear regime taken as reference, involves…

Methodology · Statistics 2025-12-30 Andrea Auconi , Alessandro Codello , Raffaella Burioni , Guido Caldarelli

Event-by-event fluctuations of the mean transverse momentum ($p_{\rm T}$) of relativistic charged particles are analyzed using the two-particle correlator $\sqrt{C_m}/M(p_{\rm T})_m$, which quantifies the correlations strength in units of…

High Energy Physics - Experiment · Physics 2025-05-22 Bushra Ali

Regular variation provides a convenient theoretical framework to study large events. In the multivariate setting, the dependence structure of the positive extremes is characterized by a measure - the spectral measure - defined on the…

Machine Learning · Statistics 2021-02-24 Meyer Nicolas , Olivier Wintenberger

We investigate event-by-event fluctuations for ensembles with non-fixed multiplicity. Moments of event observable distributions, like total energy distribution, total transverse momentum distribution, etc, are shown to be related to the…

Nuclear Theory · Physics 2016-08-15 M. Belkacem , Z. Aouissat , M. Bleicher , H. Stöcker , W. Greiner

These proceedings consist of a brief overview of the current understanding of collective behavior in relativistic heavy-ion collisions. In particular, recent progress in understanding the implications of event-by-event fluctuations have…

Nuclear Theory · Physics 2011-11-14 Matthew Luzum

We establish a connection between the scattering inverse problem and the determination of the distribution of the position of the Levy process at the exit time of a bounded interval in term of its Levy exponent.

Probability · Mathematics 2007-05-23 Sonia Fourati

A great deal of recent data on event-by-event fluctuation and correlation measurements has been released by several experiments at the SPS and RHIC. Recent results on charge fluctuations, balance functions in pseudorapidity, and average…

Nuclear Experiment · Physics 2009-11-10 Jeffery T. Mitchell

Event shapes have long been used to extract information about hadronic final states and the properties of QCD, such as particle spin and the running coupling. Recently, a family of event shapes, the angularities, has been introduced that…

High Energy Physics - Phenomenology · Physics 2009-11-11 Carola F. Berger

The strong fluctuations in the initial energy density of heavy-ion collisions allow an efficient selection of events corresponding to a specific initial geometry. For such "shape engineered events", the elliptic flow coefficient, $v_2$, of…

Nuclear Experiment · Physics 2019-08-13 A. Dobrin