168 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- McGill UniversityCA12 papers
- Institute of Mathematical SciencesIN6 papers
- Jai Narain Vyas UniversityIN6 papers
- United NationsUS3 papers
- Centro Brasileiro de Pesquisas FísicasBR1 paper
- Kanagawa UniversityJP1 paper
- Santa Fe InstituteUS1 paper
- United Nations Office for Outer Space Affairs1 paper
- Waseda UniversityJP1 paper
16 papers
On a Generalized Entropy Measure Leading to the Pathway Model: with a preliminary application to solar neutrino data
A. M. Mathai, H. J. Haubold
An entropy for the scalar variable case, parallel to Havrda-Charvat entropy was introduced by the first author and the properties and its connection to Tsallis non-extensive statis…
Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative
R. K. Saxena, A. M. Mathai, H. J. Haubold
This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation…
Boltzmann-Gibbs entropy is sufficient but not necessary for the likelihood factorization required by Einstein
Constantino Tsallis, Hans J. Haubold
In 1910 Einstein published a crucial aspect of his understanding of Boltzmann entropy. He essentially argued that the likelihood function of any system composed by two probabilisti…
Computational solutions of unified fractional reaction-diffusion equations with composite fractional time derivative
R. K. Saxena, A. M. Mathai, H. J. Haubold
This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation…
The United Nations Human Space Technology Initiative (HSTI)
M. Ochiai, I. Dietlein, A. Niu +3
The Human Space Technology Initiative (HSTI) has been launched under the framework of the United Nations Programme on Space Applications with its aims of promoting international co…
The Variation of the Solar Neutrino Fluxes over Time in the Homestake, GALLEX(GNO) and Super-Kamiokande Experiments
K. Sakurai, H. J. Haubold, T. Shirai
Using the records of the fluxes of solar neutrinos from the Homestake, GALLEX (GNO), and Super-Kamiokande experiments, their statistical analyses were performed to search for wheth…
A Pathway from Bayesian Statistical Analysis to Superstatistics
A. M. Mathai, H. J. Haubold
Superstatistics and Tsallis statistics in statistical mechanics is given an interpretation in terms of Bayesian statistical analysis. Subsequently superstatistics is extended by re…
Extension of thermonuclear functions through the pathway model including Maxwell-Boltzmann and Tsallis distributions
H. J. Haubold, D. Kumar
The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases of distribution functions. An analy…
Pathway parameter and thermonuclear functions
A. M. Mathai, H. J. Haubold
In the theory of thermonuclear reaction rates, analytical evaluation of thermonuclear functions for non-resonant reactions, including cases with cut-off and depletion of the tail o…
On generalized entropy measures and pathways
A. M. Mathai, H. J. Haubold
Product probability property, known in the literature as statistical independence, is examined first. Then generalized entropies are introduced, all of which give generalizations t…
Generalized Measure of Entropy, Mathai's Distributional Pathway Model, and Tsallis Statistics
A. M. Mathai, H. J. Haubold
The pathway model of Mathai (2005) mainly deals with the rectangular matrix-variate case. In this paper the scalar version is shown to be associated with a large number of probabil…
Pathway Model, Superstatistics, Tsallis Statistics, and a Generalized Measure of Entropy
A. M. Mathai, H. J. Haubold
The pathway model of Mathai (2005) is shown to be inferable from the maximization of a certain generalized entropy measure. This entropy is a variant of the generalized entropy of…
Solution of generalized fractional reaction-diffusion equations
R. K. Saxena, A. M. Mathai, H. J. Haubold
This paper deals with the investigation of a closed form solution of a generalized fractional reaction-diffusion equation. The solution of the proposed problem is developed in a co…
Reaction-diffusion systems and nonlinear waves
R. K. Saxena, A. M. Mathai, H. J. Haubold
The authors investigate the solution of a nonlinear reaction-diffusion equation connected with nonlinear waves. The equation discussed is more general than the one discussed recent…
Fractional reaction-diffusion equations
R. K. Saxena, A. M. Mathai, H. J. Haubold
In a series of papers, Saxena, Mathai, and Haubold (2002, 2004a, 2004b) derived solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functio…
A certain class of Laplace transforms with applications to reaction and reaction-diffusion equations
A. M. Mathai, R. K. Saxena, H. J. Haubold
A class of Laplace transforms is examined to show that particular cases of this class are associated with production-destruction and reaction-diffusion problems in physics, study o…