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Understanding a complex system entails capturing the non-trivial collective phenomena that arise from interactions between its different parts. Information theory is a flexible and robust framework to study such behaviours, with several…

Information theory is a practical and theoretical framework developed for the study of communication over noisy channels. Its probabilistic basis and capacity to relate statistical structure to function make it ideally suited for studying…

Neurons and Cognition · Quantitative Biology 2015-01-09 Robin A. A. Ince , Stefano Panzeri , Simon R. Schultz

It is known that the nonextensive statistics was originally formulated for the systems composed of subsystems having same $q$. In this paper, the existence of composite system with different $q$ subsystems is investigated by fitting the…

Statistical Mechanics · Physics 2016-08-16 Wei Li , Qiuping A. Wang , Laurent Nivanen , Alain Le Méhauté

The statistical methods based on the classical Boltzmann-Gibbs (BG) approach are at heart of essentially all descriptions of multiparticle production processes. In many cases, however, one observes some deviations from the expected…

High Energy Physics - Phenomenology · Physics 2017-08-23 G. Wilk , Z. Wlodarczyk

Prompted by the realisation that the statistical entropy of an ideal gas in the micro-canonical ensemble should not fluctuate or change over time, the meaning of the H-theorem is re-interpreted from the perspective of information theory in…

General Physics · Physics 2013-01-09 David Sands , Jeremy Dunning-Davies

The nonextensive one-dimensional version of a hydrodynamical model for multiparticle production processes is proposed and discussed. It is based on nonextensive statistics assumed in the form proposed by Tsallis and characterized by a…

Nuclear Theory · Physics 2014-11-18 T. Osada , G. Wilk

Fluctuation theorems impose fundamental bounds in the statistics of the entropy production, with the second law of thermodynamics being the most famous. Using information theory, we quantify the information of entropy production and find an…

Quantum Physics · Physics 2021-02-17 Domingos S. P. Salazar

Probability theory is fundamental for modeling uncertainty, with traditional probabilities being real and non-negative. Complex probability extends this concept by allowing complex-valued probabilities, opening new avenues for analysis in…

Information Theory · Computer Science 2025-03-07 Chan Li , Hejun Xu , Zhu Cao

Quark matter is being expected to be found in heavy ion collisions on the basis of calculations in the framework of traditional, extensive thermodynamics. Recently a non-extensive generalization of the thermodynamics is emerging in the…

Nuclear Theory · Physics 2007-05-23 T. S. Biro

Information theory is gaining popularity as a tool to characterize performance of biological systems. However, information is commonly quantified without reference to whether or how a system could extract and use it; as a result,…

Molecular Networks · Quantitative Biology 2016-11-28 Mikhail Tikhonov , Shawn C. Little , Thomas Gregor

The higher order moments of the net-baryon distributions in relativistic heavy ion collisions are useful probes for the QCD critical point and fluctuations. We study the net-proton distributions and their moments in a simple model which…

Nuclear Theory · Physics 2013-05-29 C. B. Yang , X. Wang

The Information bottleneck method is an unsupervised non-parametric data organization technique. Given a joint distribution P(A,B), this method constructs a new variable T that extracts partitions, or clusters, over the values of A that are…

Machine Learning · Computer Science 2013-01-14 Nir Friedman , Ori Mosenzon , Noam Slonim , Naftali Tishby

We relate the information exchange between two stochastic systems to the nonequilibrium entropy production in the whole system. By deriving a general formula that decomposes the total entropy production into the thermodynamic and…

Statistical Mechanics · Physics 2015-06-16 Takahiro Sagawa , Masahito Ueda

We focus attention on some particular thermodynamic relations (PTR). Using information theory concepts we show that, for a reversible process, microscopic considerations related to these PTR make the concomitant informational contents of…

Statistical Mechanics · Physics 2007-05-23 E. M. F. Curado , A. Plastino

We present a procedure for the determination of the interaction potential from the knowledge of the radial pair distribution function. The method, realized inside an inverse Monte Carlo simulation scheme, is based on the application of the…

Statistical Mechanics · Physics 2010-09-06 Marco D'Alessandro , Francesco Cilloco

This paper evaluates heterogeneous information fusion using multi-task Gaussian processes in the context of geological resource modeling. Specifically, it empirically demonstrates that information integration across heterogeneous…

Machine Learning · Statistics 2013-09-06 Shrihari Vasudevan , Arman Melkumyan , Steven Scheding

The information-theoretic representation of quantum systems, which complements the familiar energy description of the density-functional and wave-function-based theories, is here discussed. According to it, the internal disorder of the…

Quantum Physics · Physics 2013-05-27 J. S. Dehesa , D. Manzano , P. S. Sánchez-Moreno , R. J. Yáñez

Using R\'enyi entropy, a possible thermostatistics for nonextensive systems is discussed. We show that it is possible to get the $q$-exponential distribution function for nonextensive systems having nonadditive energy but additive entropy.…

Statistical Mechanics · Physics 2007-05-23 Qiuping A. Wang

We pioneer the application of quantum information theory to experimentally distinguish between classes of hadronization models. We adapt the CHSH inequality to the fragmentation of a single parton to hadron pairs, a violation of which would…

High Energy Physics - Phenomenology · Physics 2025-06-26 Rebecca von Kuk , Kyle Lee , Johannes K. L. Michel , Zhiquan Sun

Resource theories play an important role in quantum information theory, as they identify resourceful states and channels that are potentially useful for the accomplishment of tasks that would be otherwise unreachable. The elementary…

Quantum Physics · Physics 2020-09-02 A. C. S. Costa , R. M. Angelo