Distribution of extreme first passage times of diffusion
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DOI: 10.1007/s00285-020-01496-9
Abstract: Many events in biology are triggered when a diffusing searcher finds a target, which is called a first passage time (FPT). The overwhelming majority of FPT studies have analyzed the time it takes a single… read more here.
Keywords: time; biology; distribution extreme; first passage ... See more keywords
Baire categorical aspects of first passage percolation
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DOI: 10.1007/s10474-018-0840-9
Abstract: In the previous decades, the theory of first passage percolation became a highly important area of probability theory. In this work, we will observe what can be said about the corresponding structure if we forget… read more here.
Keywords: categorical aspects; baire categorical; first passage; passage percolation ... See more keywords
Baire categorical aspects of first passage percolation. II
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DOI: 10.1007/s10474-019-00943-4
Abstract: In this paper we continue our earlier work about topological first passage percolation and answer certain questions asked in our previous paper. Notably, we prove that apart from trivialities, in the generic configuration there exists… read more here.
Keywords: baire categorical; first passage; passage percolation; generic configuration ... See more keywords
Statistical Analysis of the First Passage Path Ensemble of Jump Processes
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DOI: 10.1007/s10955-017-1949-x
Abstract: The transition mechanism of jump processes between two different subsets in state space reveals important dynamical information of the processes and therefore has attracted considerable attention in the past years. In this paper, we study… read more here.
Keywords: passage path; jump processes; first passage; jump ... See more keywords
Long Paths in First Passage Percolation on the Complete Graph II. Global Branching Dynamics
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DOI: 10.1007/s10955-020-02585-1
Abstract: We study the random geometry of first passage percolation on the complete graph equipped with independent and identically distributed positive edge weights. We consider the case where the lower extreme values of the edge weights… read more here.
Keywords: usepackage; graph; document; first passage ... See more keywords
First-passage time study of a stochastic growth model
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DOI: 10.1007/s11071-019-05189-x
Abstract: In this paper, a stochastic nonlinear growth model is proposed, which can be considered a generalization of the stochastic logistic model. It can be applied to the growth of a generic population as well as… read more here.
Keywords: passage time; study stochastic; model; first passage ... See more keywords
Collocation Method for First Passage Time Problem of Power Systems Subject to Stochastic Excitations
Sign Up to like & getrecommendations! Published in 2019 at "Arabian Journal for Science and Engineering"
DOI: 10.1007/s13369-018-3361-5
Abstract: Large penetration of renewable energies heavily threats the stable and reliable operation of power systems due to their randomness and intermittence characteristics. The first passage time problem is one of the critical issues in reliability… read more here.
Keywords: power systems; method; power; first passage ... See more keywords
First-passage behavior of periodic potential system driven by correlated noise
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DOI: 10.1016/j.cjph.2020.09.022
Abstract: Abstract In this paper, the first-passage time (FPT) of periodic potential system driven by correlated noise is discussed. One-dimensional non-Markovian process in the system is stochastically equivalent to two-dimensional Markovian process according to the statistical… read more here.
Keywords: system; periodic potential; driven correlated; first passage ... See more keywords
Second-order moment of the first passage time of a quasi-Hamiltonian oscillator with stochastic parametric and forcing excitations
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DOI: 10.1016/j.jsv.2018.03.001
Abstract: Abstract This work focuses on the stochastic version of the linear Mathieu oscillator with both forced and parametric excitations of small intensity. In this quasi-Hamiltonian oscillator, the concept of energy stored in the oscillator plays… read more here.
Keywords: hamiltonian oscillator; quasi hamiltonian; time; oscillator ... See more keywords
An efficient assessment of vulnerability of a ship to parametric roll in irregular seas using first passage statistics
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DOI: 10.1016/j.probengmech.2019.102998
Abstract: Abstract Unlike the traditional displacement vessels, the modern roll-on roll-off (Ro–Ro), container and cruise vessels designed over the past two decades are seen to be prone to dynamic instabilities, which in some cases may lead… read more here.
Keywords: parametric roll; passage statistics; first passage; vulnerability ... See more keywords
Speeding up non-Markovian first-passage percolation with a few extra edges
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DOI: 10.1017/apr.2018.39
Abstract: Abstract One model of real-life spreading processes is that of first-passage percolation (also called the SI model) on random graphs. Social interactions often follow bursty patterns, which are usually modelled with independent and identically distributed… read more here.
Keywords: random graphs; first passage; passage; passage percolation ... See more keywords