Results 31 to 40 of about 347,242 (278)
We consider the emerging dynamics of a separable continuous time random walk (CTRW) in the case when the random walker is biased by a velocity field in a uniformly growing domain.
F Le Vot, E Abad, R Metzler, S B Yuste
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On the Advent of Fractional Calculus in Econophysics via Continuous-Time Random Walk
In this survey article, at first, the author describes how he was involved in the late 1990s on Econophysics, considered in those times an emerging science.
Francesco Mainardi
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Hydrodynamic dispersion process in relation with the geometrical properties of the porous media are studied in two sets of 6 porous media samples of porosity θ ranging from 0.1 to 0.25. These two sets of samples display distinctly different evolutions of
Philippe Gouze +3 more
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Continuous-time random walk with correlated waiting times [PDF]
Based on the Langevin description of the Continuous Time Random Walk (CTRW), we consider a generalization of CTRW in which the waiting times between the subsequent jumps are correlated. We discuss the cases of exponential and slowly decaying persistent power-law correlations between the waiting times as two generic examples and obtain the corresponding
Chechkin, A. V. +2 more
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SOLUTE TRANSPORT MODELLING IN LOW-PERMEABILITY HOMOGENEOUS AND SATURATED SOIL MEDIA
Fickian and non-Fickian behaviors were often detected for contaminant transport activity owed to the preferential flow and heterogeneity of soil media. Therefore, using diverse methods to measure such composite solute transport in soil media has become ...
Muhammad Zaheer +5 more
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On the relationship between continuous- and discrete-time quantum walk [PDF]
Quantum walk is one of the main tools for quantum algorithms. Defined by analogy to classical random walk, a quantum walk is a time-homogeneous quantum process on a graph. Both random and quantum walks can be defined either in continuous or discrete time.
A. Ambainis +28 more
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Continuous time random walks under Markovian resetting [PDF]
Submitted to ...
Vicenç Méndez +3 more
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Patient treatment prediction by continuous time random walk inside complex system
Stochastic resonance model for medical patient condition is proposed. Approach has been generalized by means of fractional Fokker-Planck equation and subdiffusion processes.
Walczak Andrzej
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Continuous-time random walks at all times [PDF]
Continuous-time random walks (CTRW) play an important role in understanding of a wide range of phenomena. However, most theoretical studies of these models concentrate only on dynamics at long times. We present a new theoretical approach, based on generalized master equations picture, which allowed us to obtain explicit expressions for Laplace ...
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Chover-Type Laws of the Iterated Logarithm for Continuous Time Random Walks
A continuous time random walk is a random walk subordinated to a renewal process used in physics to model anomalous diffusion. In this paper, we establish Chover-type laws of the iterated logarithm for continuous time random walks with jumps and waiting ...
Kyo-Shin Hwang, Wensheng Wang
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