Journal ArticleDOI
Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences
TLDR
The Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences as mentioned in this paper is a popular reference book for physics, chemistry and the natural sciences that is used in many applications.Abstract:
(1984). Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences. Optica Acta: International Journal of Optics: Vol. 31, No. 9, pp. 977-978.read more
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Brownian motors: noisy transport far from equilibrium
TL;DR: In this paper, the main emphasis is put on directed transport in so-called Brownian motors (ratchets), i.e. a dissipative dynamics in the presence of thermal noise and some prototypical perturbation that drives the system out of equilibrium without introducing a priori an obvious bias into one or the other direction of motion.
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High-Order Collocation Methods for Differential Equations with Random Inputs
Dongbin Xiu,Jan S. Hesthaven +1 more
TL;DR: A high-order stochastic collocation approach is proposed, which takes advantage of an assumption of smoothness of the solution in random space to achieve fast convergence and requires only repetitive runs of an existing deterministic solver, similar to Monte Carlo methods.
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Real-Time Kinetics of Gene Activity in Individual Bacteria
TL;DR: This work directly demonstrates transcriptional bursting in Escherichia coli, similar to that indirectly inferred for eukaryotes, and extends protein-based approaches by counting the integer-valued number of transcript with single-molecule resolution.
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The large deviation approach to statistical mechanics
TL;DR: The theory of large deviations as discussed by the authors is concerned with the exponential decay of probabilities of large fluctuations in random systems, and it provides exponential-order estimates of probabilities that refine and generalize Einstein's theory of fluctuations.
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The role of the airline transportation network in the prediction and predictability of global epidemics
TL;DR: A stochastic computational framework for the forecast of global epidemics that considers the complete worldwide air travel infrastructure complemented with census population data and defines a set of quantitative measures able to characterize the level of heterogeneity and predictability of the epidemic pattern.