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The application of information theory approach (both in its extensive and nonextensive versions) to high energy multiparticle processes is discussed and confronted with experimental data on e+e- annihilation processes, pp and \bar{p}p…

High Energy Physics - Phenomenology · Physics 2014-11-17 F. S. Navarra , O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We review hitherto attempts to look at the multiparticle production processes from the Information Theory point of view (both in its extensive and nonextensive versions).

High Energy Physics - Phenomenology · Physics 2016-09-06 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We look at multiparticle production processes from the nonextensive point of view. Nonextensivity means here the systematic deviations in exponential formulas provided by the usual statistical approach for description of some observables…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We look at multiparticle production processes from the Information Theory point of view, both in its extensive and nonextensive versions. Examples of both symmetric (like pp or AA) and asymmetric (like pA) collisions are considered showing…

High Energy Physics - Phenomenology · Physics 2009-11-11 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

It is demonstrated how to obtain the least biased description of the single particle spectra measured in all multiparticle production processes by using information theory approach (known also as MaxEnt approach). The case of e+e-…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. S. Navarra , O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

Information theory is used to perform a thermodynamic study of non equilibrium anisotropic radiation. We limit our analysis to a second-order truncation of the moments, obtaining a distribution function which leads to a natural closure of…

Statistical Mechanics · Physics 2009-10-30 Raquel Dominguez-Cascante

The present status of investigations on fluctuations and correlations seen in high energy multiparticle production processes made using the notion of nonextensivity is reviewed.

High Energy Physics - Phenomenology · Physics 2011-08-04 Grzegorz Wilk

We review from the point of view of nonextensive statistics the ubiquitous presence in elementary and heavy-ion collisions of power-law distributions. Special emphasis is placed on the conjecture that this is just a reflection of some…

High Energy Physics - Phenomenology · Physics 2015-05-13 Grzegorz Wilk , Zbigniew Wlodarczyk

We generalize the Shannon's information theory in a nonadditive way by focusing on the source coding theorem. The nonadditive information content we adopted is consistent with the concept of the form invariance structure of the nonextensive…

Statistical Mechanics · Physics 2009-10-31 Takuya Yamano

An information theory description of finite systems explicitly evolving in time is presented. We impose a MaxEnt variational principle on the Shannon entropy at a given time while the constraints are set at a former time. The resulting…

Nuclear Theory · Physics 2008-11-26 F. Gulminelli , Ph. Chomaz , O. Juillet , M. J. Ison , C. O. Dorso

The analysis of high-energy particle collisions is an excellent testbed for the non-extensive statistical approach. In these reactions we are far from the thermodynamical limit. In small colliding systems, such as electron-positron or…

High Energy Physics - Phenomenology · Physics 2017-02-27 Gábor Bíró , Gergely Gábor Barnaföldi , Tamás Sándor Biró , Károly Ürmössy , Ádám Takács

We investigate how the non-extensive approach works in high-energy physics. Transverse momentum ($p_T$) spectra of several hadrons are fitted by various non-extensive momentum distributions and by the Boltzmann--Gibbs statistics.~It is…

High Energy Physics - Phenomenology · Physics 2019-05-23 Keming Shen , Gergely Gábor Barnaföldi , Tamás Sándor Biró

We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes. They reveal an ubiquitous presence of power law distributions of different variables characterized by the…

High Energy Physics - Phenomenology · Physics 2015-05-30 Grzegorz Wilk , Zbigniew Wlodarczyk

Information Theory concepts and methodologies conform the background of how communication systems are studied and understood. They are mainly focused on the source-channel-receiver problem and on the asymptotic limits of accuracy and…

Adaptation and Self-Organizing Systems · Physics 2017-05-16 Nicolás Rubido , Celso Grebogi , Murilo S. Baptista

Information theory is widely accepted as a powerful tool for analyzing complex systems and it has been applied in many disciplines. Recently, some central components of information theory - multivariate information measures - have found…

Information Theory · Computer Science 2012-08-30 Nicholas Timme , Wesley Alford , Benjamin Flecker , John M. Beggs

In the 21st century, many of the crucial scientific and technical issues facing humanity can be understood as problems associated with understanding, modelling, and ultimately controlling complex systems: systems comprised of a large number…

Information Theory · Computer Science 2025-01-20 Thomas F. Varley

We try to establish a unified information theoretic approach to learning and to explore some of its applications. First, we define {\em predictive information} as the mutual information between the past and the future of a time series,…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Ilya Nemenman

This paper addresses theoretically correct vs. incorrect ways to apply information theory to point processes.

Information Theory · Computer Science 2022-04-19 Ronald Mahler

Given the constant rise in quantity and quality of data obtained from neural systems on many scales ranging from molecular to systems', information-theoretic analyses became increasingly necessary during the past few decades in the…

Information Theory · Computer Science 2013-10-08 Felix Effenberger

We argue that there is a fundamental problem regarding the analysis that serves as the foundation for the papers {\it Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in…

Atmospheric and Oceanic Physics · Physics 2015-05-20 Glenn C. Paquette
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