Results 81 to 90 of about 19,837,870 (284)
Kinetic and Transport Equations for Localized Excitations in Sine-Gordon Model
We analyze the kinetic behavior of localized excitations - solitons, breathers and phonons - in Sine-Gordon model. Collision integrals for all type of localized excitation collision processes are constructed, and the kinetic equations are derived.
C. S. Gardner +15 more
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The M-Wright function in time-fractional diffusion processes: a tutorial survey
In the present review we survey the properties of a transcendental function of the Wright type, nowadays known as M-Wright function, entering as a probability density in a relevant class of self-similar stochastic processes that we generally refer to as ...
Mainardi, Francesco +2 more
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On conditional diffusion processes
SynopsisIf Xt is the diffusion process associated with a second-order uniformly elliptic operator L in divergence form, then without assuming smoothness in L we prove that for each x and y in ℝd,where p is the fundamental solution to the heat equation associated with L.
Lyons, T, Zheng, W
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An original music album is a collection of music created by an online musician, and is a special form of User Generated Content. This paper aims to identify the factors that drive original music album diffusion in online music community.
Genqiang Li, Renjing Liu
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Stochastic Diffusive Modeling of CO₂ Emissions with Population and Energy Dynamics
Climate change, primarily driven by CO2 emissions from energy and non-energy sectors, necessitates effective mitigation strategies. This study develops a stochastic diffusive model to capture the complex dynamics of CO2 concentration, human population ...
Muhammad Shoaib Arif +3 more
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Diffusion processes on Mandala
A mathematical representation of fractals were given by \textit{J. E. Hutchinson} [Indiana Univ. Math. J. 30, 713-747 (1981; Zbl 0598.28011)]. The study of diffusion processes on fractals was initiated by \textit{S. Kusuoka} [in: Probabilistic methods in mathematical physics, 251-274 (1987; Zbl 0645.60081)], and others.
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Probability tree algorithm for general diffusion processes
Motivated by path-integral numerical solutions of diffusion processes, PATHINT, we present a new tree algorithm, PATHTREE, which permits extremely fast accurate computation of probability distributions of a large class of general nonlinear diffusion ...
Colleen Chen +22 more
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This is a survey paper in the study of reaction-diffusion processes. Schögl's model and Brussel's model are presented in the first section, they are typical models in non-equilibrium statistical physics. The case of a finite number of sites is not so easy, but is now quite well understood.
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Space-time propagation of air pollution from dot source: Quasi 1D model
The problem of pollution - especially air pollution in big cities, has arisen with rapid technological development. This paper analyzes the propagation of air pollution originating from periodical dot sources. Pollution will be is examined as a quasi-one-
Stevo K. Jaćimovski +2 more
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