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An introductory to generalized parton distributions is given which emphasizes their spectral property and its uses as well as the equivalence of various GPD representations. Furthermore, the status of the theory and phenomenology of hard…

High Energy Physics - Phenomenology · Physics 2019-06-05 Dieter Müller

This paper proposes the k-generalized distribution as a model for describing the distribution and dispersion of income within a population. Formulas for the shape, moments and standard tools for inequality measurement - such as the Lorenz…

General Finance · Quantitative Finance 2009-01-31 F. Clementi , T. Di Matteo , M. Gallegati , G. Kaniadakis

The global in time existence of solutions of a system describing the interaction of gravitationally attracting particles with a general diffusion term and fixed energy is proved. The presented theory covers the case of the model with…

Analysis of PDEs · Mathematics 2015-10-29 Robert Stańczy

We develop the idea of non-Markovian CTRW (continuous time random walk) approximation to the evolution of interacting particle systems, which leads to a general class of fractional kinetic measure-valued evolutions with variable order. We…

Probability · Mathematics 2022-06-07 Vassili N. Kolokoltsov , Marianna S. Troeva

In this paper we discuss some properties of linear fractional dispersive waves. In particular, we compare the dispersion relations emerging from the kinematic wave equation and from the linearised Korteweg - de Vries equation with the…

Mathematical Physics · Physics 2017-04-11 Ivano Colombaro , Andrea Giusti , Francesco Mainardi

The scattering of Dirac fermions in the background fields of topological solitons of the $(2+1)$-dimensional $\mathbb{CP}^{N-1}$ model is studied using analytical and numerical methods. It is shown that the exact solutions for fermionic…

High Energy Physics - Theory · Physics 2023-07-04 A. Yu. Loginov

Thermodynamic stability of statistical systems requires that susceptibilities be semipositive and finite. Susceptibilities are known to be related to the fluctuations of extensive observable quantities. This relation becomes nontrivial,…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

A broad class of systems, including ecological, epidemiological, and sociological ones, are characterized by populations of individuals assigned to specific categories, e.g., a chemical species, an opinion or an epidemic state, that are…

Statistical Mechanics · Physics 2025-07-17 Giorgio Vittorio Visco , Johannes Nauta , Tomas Scagliarini , Oriol Artime , Manlio De Domenico

The densities of small linear structures (such as arithmetic progressions) in subsets of Abelian groups can be expressed as certain analytic averages involving linear forms. Higher-order Fourier analysis examines such averages by…

Number Theory · Mathematics 2014-05-09 Hamed Hatami , Pooya Hatami , Shachar Lovett

In this work we present a new approach on studying dynamical systems. Combining the two ways of expressing the uncertainty, using probabilistic theory and credibility theory, we have research the generalized fractional hybrid equations. We…

Dynamical Systems · Mathematics 2009-09-16 Chis Oana , Opris Dumitru

The clearing up of a wave nature of the energy and mass transfer phenomena in classical expressions of the molecular-kinetic theory has allowed to find a quantitative measure of intensity of processes of a thermal conductivity, viscosity…

Fluid Dynamics · Physics 2007-05-23 S. L. Arsenjev , I. B. Lozovitski , Y. P. Sirik

A full Lie point symmetry analysis of rational difference equations is performed. Non-trivial symmetries are derived and exact solutions using these symmetries are obtained.

Dynamical Systems · Mathematics 2019-11-11 M. Folly-Gbetoula , N. Mnguni , AH Kara

The generalised Boltzmann equation which treats the combined localised and delocalised nature of transport present in certain materials is extended to accommodate time-dependent fields. In particular, AC fields are shown to be a means to…

Statistical Mechanics · Physics 2021-11-01 Alex D. C. Myhill , Peter W. Stokes , Bronson Philippa , Ronald D. White

Algebraic soliton interactions with a periodic or quasi-periodic random force are investigated using the Benjamin-Ono equation. The random force is modeled as a Fourier series with a finite number of modes and random phases uniformly…

Pattern Formation and Solitons · Physics 2024-09-09 Marcelo V. Flamarion , Efim Pelinovsky , Ekaterina Didenkulova

Previously it has been shown that some classes of mixing dynamical systems have limiting return times distributions that are almost everywhere Poissonian. Here we study the behaviour of return times at periodic points and show that the…

Dynamical Systems · Mathematics 2014-03-04 N. Haydn , S. Vaienti

The Generalized Fermi Breakup recently demonstrated to be formally equivalent to the Statistical Multifragmentation Model, if the contribution of excited states are included in the state densities of the former, is implemented. Since this…

Nuclear Theory · Physics 2014-08-29 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , M. B. Tsang

We study diffusion and wave equations in networks. Combining semigroup and variational methods we obtain well-posedness and many nice properties of the solutions in general L^p -context. Following earlier articles of other authors, we…

Analysis of PDEs · Mathematics 2018-12-21 Marjeta Kramar Fijavz , Delio Mugnolo , and Eszter Sikolya

We numerically solve the Boltzmann equation for trapped fermions in the normal phase using the test-particle method. After discussing a couple of tests in order to estimate the reliability of the method, we apply it to the description of…

Quantum Gases · Physics 2014-11-20 T. Lepers , D. Davesne , S. Chiacchiera , M. Urban

As a continuation of Rabei et al. work [11], the Hamilton- Jacobi partial differential equation is generalized to be applicable for systems containing fractional derivatives. The Hamilton- Jacobi function in configuration space is obtained…

Mathematical Physics · Physics 2015-05-13 Eqab M. Rabei , Bashar S. Ababneh

It is described the group of arrowy permutations (that is extension of symmetric group) and the consequent process of generation of GL(n) and some its subgroups by this combinatoric group and its subgroups.

General Mathematics · Mathematics 2007-05-23 I. V. Bayak
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