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The neutrino sector of the seesaw-modified Standard Model is investigated under the anarchy principle. The anarchy principle leading to the seesaw ensemble is studied analytically with tools of random matrix theory. The probability density function is obtained., Comment: 16 pages. arXiv admin note: text overlap with arXiv:1609.08581 by other authors

Thermal Doppler broadening of spectral profiles for particle populations in the absence or presence of potential fields are described by kappa distributions. The kappa distribution provides a replacement for the Maxwell-Boltzmann distribution which can be considered as a generalization for describing systems characterized by local correlations among their particles as found in space and astrophysical plasmas. This paper presents all special cases of kappa distributions as members of a general pathway family of densities introduced by Mathai., Comment: 10 pages

The paper utilizes data from the SuperKamiokande solar neutrino detection experiment and analyses them by diffusion entropy analysis and standard deviation analysis. The result indicates that solar neutrinos are subject to Levy flights (anomalous diffusion, superdiffusion). Subsequently, the paper derives the probability density function, represented as Fox H-function, and the governing fractional diffusion equation (fractional Fokker-Planck Equation) for solar neutrino Levy flights., Comment: 13 pages. arXiv admin note: substantial text overlap with arXiv:1209.1520

The pathway model for the real scalar variable case is re-explored and its connections to fractional integrals, solutions of fractional differential equations, Tsallis statistics and superstatistics in statistical mechanics, reaction-rate probability integral, Kraetzel transform, and pathway transform are explored. It is shown that the common thread in these connections is the H-function representations. The pathway parameter is shown to be connected to the fractional order in fractional integrals and fractional differential equations., Comment: 14 pages