Results 61 to 70 of about 17,177,934 (283)
Ergodic transitions in continuous-time random walks [PDF]
Physical Review E, 2010 8 pages, final version to appear in ...
Saa, Alberto, Venegeroles, Roberto
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Austrian Journal of Statistics, 2023 For a continuous-time lattice random walk $X^\Lambda=\set{X^\Lambda_t,t\ge 0}$ in a random environment $\Lambda$, we study the asymptotic behavior, as $t\rightarrow \infty$, of the normalized additive functional $c_t\int_0^{t} f(X^\Lambda_s)ds$, $t\ge 0$
Georgiy Shevchenko, Andrii Yaroshevskiy
doaj +1 more source
On randomly spaced observations and continuous-time random walks [PDF]
Journal of Applied Probability, 2016 AbstractWe consider random variables observed at arrival times of a renewal process, which possibly depends on those observations and has regularly varying steps with infinite mean. Due to the dependence and heavy-tailed steps, the limiting behavior of extreme observations until a given time t tends to be rather involved.
Basrak, Bojan, Špoljarić, Drago
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Moments of exit times from wedges for non-homogeneous random walks with asymptotically zero drifts [PDF]
, 2013 We study quantitative asymptotics of planar random walks that are spatially non-homogeneous but whose mean drifts have some regularity. Specifically, we study the first exit time $\tau_\alpha$ from a wedge with apex at the origin and interior half-angle $
MacPhee, I.M. +2 more
core +4 more sources
Doubly stochastic continuous time random walk
Physical Review ResearchSince its introduction some 60 years ago, the Montroll-Weiss continuous time random walk has found numerous applications due its ease of use and ability to describe both regular and anomalous diffusion. Yet, despite its broad applicability and generality,
Maxence Arutkin, Shlomi Reuveni
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Quantum walk on a chimera graph
New Journal of Physics, 2018 We analyse a continuous-time quantum walk on a chimera graph, which is a graph of choice for designing quantum annealers, and we discover beautiful quantum walk features such as localization that starkly distinguishes classical from quantum behaviour ...
Shu Xu +5 more
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Mathematics, 2020 The Scher–Montroll model successfully describes subdiffusive photocurrents in homogeneously disordered semiconductors. The present paper generalizes this model to the case of fractal spatial disorder (self-similar random distribution of localized states)
Renat T. Sibatov
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Continuous-Time Random Walk for a Particle in a Periodic Potential [PDF]
Physical Review Letters, 2019 Continuous-time random walks offer powerful coarse-grained descriptions of transport processes. We here microscopically derive such a model for a Brownian particle diffusing in a deep periodic potential. We determine both the waiting-time and the jump-length distributions in terms of the parameters of the system, from which we analytically deduce the ...
Dechant, Andreas +3 more
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Random walk on the range of random walk [PDF]
We study the random walk X on the range of a simple random walk on ℤ d in dimensions d≥4. When d≥5 we establish quenched and annealed scaling limits for the process X, which show that the intersections of the original simple random walk path are ...
Croydon, David A.
core +1 more source
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
wiley +1 more source