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Large deviations in continuous-time random walks [PDF]
Physical Review E, 2021 12 pages, 3 ...
Adrian Pacheco-Pozo, Igor M. Sokolov
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Chemical Continuous Time Random Walks [PDF]
Physical Review Letters, 2017 12 pages, 2 figures, changed spelling of name of first ...
Tomás Aquino, Marco Dentz
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Heterogeneous continuous-time random walks [PDF]
Physical Review E, 2018 11 pages, 5 ...
Grebenkov, Denis S., Tupikina, Liubov
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Evanescent continuous-time random walks [PDF]
Physical Review E, 2013 We study how an evanescence process affects the number of distinct sites visited by a continuous time random walker in one dimension. We distinguish two very different cases, namely, when evanescence can only occur concurrently with a jump, and when evanescence can occur at any time.
Abad, E. +2 more
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Nonindependent continuous-time random walks [PDF]
Physical Review E, 2007 The usual development of the continuous time random walk (CTRW) assumes that jumps and time intervals are a two-dimensional set of independent and identically distributed random variables. In this paper we address the theoretical setting of non-independent CTRW's where consecutive jumps and/or time intervals are correlated.
Montero Torralbo, Miquel +1 more
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Aging continuous time random walks [PDF]
The Journal of Chemical Physics, 2003 We investigate biased and nonbiased aging continuous time random walks (ACTRW), using fractal renewal theory. For example, a biased ACTRW process describes a Montroll–Weiss CTRW process which starts at time −ta and then at time t=0 a bias is added to the random walk (i.e., an external field is switched on).
Barkai, Eli, Cheng, Yuan-Chung
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Noisy continuous time random walks [PDF]
The Journal of Chemical Physics, 2013 Experimental studies of the diffusion of biomolecules within biological cells are routinely confronted with multiple sources of stochasticity, whose identification renders the detailed data analysis of single molecule trajectories quite intricate.
Jeon, Jae-Hyung +2 more
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Time averages in continuous-time random walks [PDF]
Physical Review E, 2017 6 pages, 2 ...
Thiel, Felix, Sokolov, Igor M.
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Individuals at the origin in the critical catalytic branching random walk [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 A continuous time branching random walk on the lattice $\mathbb{Z}$ is considered in which individuals may produce children at the origin only. Assuming that the underlying random walk is symmetric and the offspring reproduction law is critical we prove ...
Valentin Topchii, Vladimir Vatutin
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Mathematics, 2021 It has been increasingly reported that in biological tissues diffusion-weighted MRI signal attenuation deviates from mono-exponential decay, especially at high b-values.
Guangyu Dan +7 more
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