Stochastic Wilson–Cowan models of neuronal network dynamics with memory and delay
We consider a simple Markovian class of the stochastic Wilson–Cowan type models of neuronal network dynamics, which incorporates stochastic delay caused by the existence of a refractory period of neurons.
Igor Goychuk, Andriy Goychuk
doaj +1 more source
Level 2 and level 2.5 large deviation functionals for systems with and without detailed balance
Large deviation functions are an essential tool in the statistics of rare events. Often they can be obtained by contraction from a so-called level 2 or level 2.5 large deviation functional characterizing the empirical density and current of the ...
J Hoppenau, D Nickelsen, A Engel
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Mesoscopic virial equation for nonequilibrium statistical mechanics
We derive a class of mesoscopic virial equations governing energy partition between conjugate position and momentum variables of individual degrees of freedom.
G Falasco, F Baldovin, K Kroy, M Baiesi
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Forecasting the magnitude and onset of El Niño based on climate network
El Niño is probably the most influential climate phenomenon on inter-annual time scales. It affects the global climate system and is associated with natural disasters; it has serious consequences in many aspects of human life. However, the forecasting of
Jun Meng +4 more
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Effects of the target aspect ratio and intrinsic reactivity onto diffusive search in bounded domains
We study the mean first passage time (MFPT) to a reaction event on a specific site in a cylindrical geometry—characteristic, for instance, for bacterial cells, with a concentric inner cylinder representing the nuclear region of the bacterial cell.
Denis S Grebenkov +2 more
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Comment on "Mean First Passage Time for Anomalous Diffusion"
We correct a previously erroneous calculation [Phys. Rev. E 62, 6065 (2000)] of the mean first passage time of a subdiffusive process to reach either end of a finite interval in one dimension.
A.V. Chechkin +14 more
core +1 more source
A stochastic approach for quantifying immigrant integration: the Spanish test case
We apply stochastic process theory to the analysis of immigrant integration. Using a unique and detailed data set from Spain, we study the relationship between local immigrant density and two social and two economic immigration quantifiers for the period
Elena Agliari +4 more
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Comment on ''Measurement of Effective Temperatures in an Aging Colloidal Glass'' [PDF]
We measure the fluctuations of the position of a silica bead trapped by an optical tweezers during the aging of a Laponite suspension.
Ciliberto, Sergio +2 more
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New Polynomials and Numbers Associated with Fractional Poisson Probability Distribution
Generalizations of Bell polynomials, Bell numbers, and Stirling numbers of the second kind have been introduced and their generating functions were evaluated.Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics ...
Laskin, Nick
core +1 more source
1/f noise for intermittent quantum dots exhibits non-stationarity and critical exponents
The power spectrum of quantum dot (QD) fluorescence exhibits $1/{{f}^{\beta }}$ noise, related to the intermittency of these nanosystems. As in other systems exhibiting $1/f$ noise, this power spectrum is not integrable at low frequencies, which appears ...
Sanaz Sadegh, Eli Barkai, Diego Krapf
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