We consider a one-dimensional lattice with diffusive nearest neighbor interaction, a dissipative nonlinear reaction term and additive independent white noise at each node. We prove the existence of a compact global random attractor within the set of tempered random bounded sets. An interesting feature of this is that, even though the spatial domain is unbounded…
Stochastics and Dynamics Template
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About the Stochastics and Dynamics format
Stochastics and Dynamics is a peer-reviewed journal published by World Scientific, covering Stochastic processes and financial applications, Mathematical Dynamics and Fractals, Stability and Controllability of Differential Equations.
| Publisher | World Scientific |
|---|---|
| Reference style | Superscript numbered (World Scientific) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Stochastics and Dynamics 12, 45–58 (2023).
Formats any DOI in the closest standard style — Stochastics and Dynamics has no published style definition, so this is an approximation. No sign-up. |
| Publishes research in | Stochastic processes and financial applications Mathematical Dynamics and Fractals Stability and Controllability of Differential Equations Stochastic processes and statistical mechanics Advanced Mathematical Modeling in Engineering |
| ISSN | 0219-4937 |
| Citation impact (2-yr) | 0.56 |
| h-index | 41 |
| i10-index | 264 |
| Total citations | 9,567 |
| Top institutions publishing here | Centre National de la Recherche Scientifique |
| Journal website | www.worldscinet.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Stochastics and Dynamics per year
Citation impact of Stochastics and Dynamics by publication year
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Most-cited papers in Stochastics and Dynamics
We introduce Gibbs–Markov maps T as maps with a (possibly countable) Markov partition and a certain type of bounded distortion property, and investigate its Frobenius–Perron operator P acting on (locally) Lipschitz continuous functions ϕ. If such a function ϕ belongs to the domain of attraction of a stable law of order in (0,2), we derive…
In this paper, stochastic differential equations in a Hilbert space with a standard, cylindrical fractional Brownian motion with the Hurst parameter in the interval (1/2,1) are investigated. Existence and uniqueness of mild solutions, continuity of the sample paths and state space regularity of the solutions, and the existence of limiting measures are verified. The equivalence…
We present and study a Langevin MCMC approach for sampling nonlinear diffusion bridges. The method is based on recent theory concerning stochastic partial differential equations (SPDEs) reversible with respect to the target bridge, derived by applying the Langevin idea on the bridge pathspace. In the process, a Random-Walk Metropolis algorithm and an Independence Sampler are…
We prove the existence and uniqueness of tempered random attractors for stochastic Reaction–Diffusion equations on unbounded domains with multiplicative noise and deterministic non-autonomous forcing. We establish the periodicity of the tempered attractors when the stochastic equations are forced by periodic functions. We further prove the upper semicontinuity of these attractors when the intensity of stochastic…