Results 1 to 10 of about 9,107 (262)
Emergency of Tsallis statistics in fractal networks. [PDF]
PLoS ONE, 2021 Scale-free networks constitute a fast-developing field that has already provided us with important tools to understand natural and social phenomena. From biological systems to environmental modifications, from quantum fields to high energy collisions, or
Airton Deppman +1 more
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Fractal Structure and Non-Extensive Statistics [PDF]
Entropy, 2018 The role played by non-extensive thermodynamics in physical systems has been under intense debate for the last decades. With many applications in several areas, the Tsallis statistics have been discussed in detail in many works and triggered an ...
Airton Deppman +3 more
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Fractal statistics of brittle fragmentation [PDF]
Fracture and Structural Integrity, 2013 The study of fragmentation statistics of brittle materials that includes four types of experiments is presented. Data processing of the fragmentation of glass plates under quasi-static loading and the fragmentation of quartz cylindrical rods under ...
M. Davydova, S. Uvarov
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From Fractal Geometry to Statistical Fractal
Recoletos Multidisciplinary Research Journal, 2013 The development from fractal geometry to fractal statistics was established in this paper. Interesting features such as self similarity, scale invariance, and the spacefilling property of objects (fractal dimension) of fractal geometry provided an ...
Roberto N. Padua, Mark S. Borres
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Fractal structure of hadrons and non-extensive statistics* [PDF]
EPJ Web of Conferences, 2018 The role played by non-extensive thermodynamics in physical systems has been under intense debate for the last decades. Some possible mechanisms that could give rise to non-extensive statistics have been formulated along the last few years, in particular
Megías Eugenio +3 more
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Tsallis statistics and QCD thermodynamics* [PDF]
EPJ Web of Conferences, 2022 We summarize recent progress on the applications of Tsallis statistics to high energy and heavy ion physics. We also address the possible connections of this statistics with a fractal structure of hadrons.
Deppman Airton, Megías Eugenio
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Fractals, nonextensive statistics, and QCD [PDF]
Physical Review D, 2020 In this work we analyse how scaling properties of Yang-Mills field theory manifest as self-similarity of truncated n-point functions by scale evolution. The presence of such structures, which actually behaves as fractals, allow for recurrent non-perturbative calculation of any vertex.
Airton Deppman +2 more
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Fractal descriptions for spatial statistics [PDF]
Annals of Biomedical Engineering, 1990 Measures of spatial statistics have been available for estimating means, calculating or assessing differences, estimating nearest neighbor distances, and such, but have not provided a general approach to describing variances. Because measures of heterogeneity depend upon choosing a particular element size in the domain, estimates of apparent ...
R B, King +2 more
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Earthquake statistics and fractal faults [PDF]
Physical Review E, 1997 We introduce a Self-affine Asperity Model (SAM) for the seismicity that mimics the fault friction by means of two fractional Brownian profiles (fBm) that slide one over the other. An earthquake occurs when there is an overlap of the two profiles representing the two fault faces and its energy is assumed proportional to the overlap surface.
Hallgass, R. +4 more
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Tsallis statistics, fractals and QCD [PDF]
Nuclear and Particle Physics Proceedings, 2021 We study the non-extensive Tsallis statistics and its applications to QCD and high energy physics, and analyze the possible connections of this statistics with a fractal structure of hadrons. Then, we describe how scaling properties of Yang-Mills theories allow the appearance of self-similar structures in gauge fields, which actually behave as fractals.
Deppman, Airton +2 more
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