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Modeling the Linear Response from a Quantum Nonextensive System to a Dynamic External Disturbance
AbstractA dynamic theory of the linear reaction from nonextensive quasi-equilibrium multibody systems to an external time-dependent perturbation is...
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Propagation of dust-ion-acoustic solitary waves for damped modified Kadomtsev–Petviashvili–Burgers equation in dusty plasma with a q-nonextensive nonthermal electron velocity distribution
The nonlinear dust ion acoustic solitary waves (DIAW) in a magnetized collisional dusty plasma comprising with negatively charged dust grain,...
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Sampling and Statistical Physics via Symmetry
We formulate both Markov chain Monte Carlo (MCMC) sampling algorithms and basic statistical physics in terms of elementary symmetries. This...
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On the Parameter Significance in Pandemic Modelling
In the present work the pertinent question of what is the best parameter choice in a mathematical pandemic model for time evolution simulations and...
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An analytical expression for the Unit Step Function
In this paper, the author obtains an analytical exact form of the Unit Step Function (or Heaviside Step Function) which evidently constitutes a...
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The Maximal Extension of the Strict Concavity Region on the Parameter Space for Sharma-Mittal Entropy Measures
A region r ≥ s > 0 of the \((r,s) \in \mathbb {R}_{++}\) parameter...
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Random Walks
This chapter deals with the random walkRandom walks problem and its connections with the diffusion processes. Its first part is dedicated to an...
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RenoRmalization Group and Fractional Calculus Methods in a Complex World: A Review
The concept of the renormalization group (RG) emerged from the renormalization of quantum field variables, which is typically used to deal with the...
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Mellin Convolutions, Statistical Distributions and Fractional Calculus
This paper shows that meaningful interpretations for Mellin convolutions of products and ratios involving two, three or more functions, can be given...
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On Cumulative Tsallis Entropy and Its Dynamic Past Version
Cumulative Tsallis entropy and its residual have developed by many others, and they proposed alternative (second) forms of them. In this article, we...
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A characterization of generalized multinomial coefficients related to the entropic chain rule
There is an asymptotic correspondence between the multiplicative relations among multinomial coefficients and the (additive) recursive property of...
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Statistical mechanics for complex systems: On the structure of q-triplets
A plethora of natural, artificial and social complex systems exists which violate the basic hypothesis (e.g., ergodicity) of Boltzmann-Gibbs (BG)...
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Information geometry
Information geometry has emerged from the study of the invariant structure in families of probability distributions. This invariance uniquely...
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A predictor–corrector scheme for solving the time fractional Fokker–Planck equation with uniform and non-uniform meshes
In this paper, we combine the predictor–corrector approach with the method of lines and design the predictor–corrector approach with uniform and...
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Local fractional system for economic order quantity using entropy solution
The economic order quantity (EOQ) model describes the quantity that minimizes the aggregate sum of all cost functions. We propose an assembly for...
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The Laplace transform Induced by the Deformed Exponential Function of Two Variables
Based on the easy computation of the direct transform and its inversion, the Laplace transform was used as an effective method for solving...
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Model Kinetic Equations and the Description of Gas Flows at Various Relaxation Stages
Various relaxation stages in high-velocity and high-temperature gases with physicochemical processes are considered on the basis of model kinetic...
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Perspective Functions: Properties, Constructions, and Examples
Many functions encountered in applied mathematics and in statistical data analysis can be expressed in terms of perspective functions. One of the...
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On construction of the entropy transport model based on the formalism of nonextensive statistics
A new approach to the construction of transport entropy models of distribution based on the formalism of nonextensive statistics is proposed. As an...