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Stochastic flows and stochastic differential equations
TLDR
In this article, the authors consider continuous semimartingales with spatial parameter and stochastic integrals, and the convergence of these processes and their convergence in stochastically flows.Abstract:
1. Stochastic processes and random fields 2. Continuous semimartingales and stochastic integrals 3. Semimartingales with spatial parameter and stochastic integrals 4. Stochastic flows 5. Convergence of stochastic flows 6. Stochastic partial differential equations.read more
Citations
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Journal ArticleDOI
Particles and fields in fluid turbulence
TL;DR: In this paper, the first analytical description of anomalous scaling laws in turbulent transport has been obtained and the underlying physical mechanism reveals the role of statistical integrals of motion in nonequilibrium systems.
Journal ArticleDOI
What Are SRB Measures, and Which Dynamical Systems Have Them?
TL;DR: In this article, the authors reported on some of the main results surrounding an invariant measure introduced by Sinai, Ruelle, and Bowen in the 1970s, called SRB measures, as these objects are called.
Journal ArticleDOI
Stability of Markovian processes II: continuous-time processes and sampled chains
Sean P. Meyn,Richard L. Tweedie +1 more
TL;DR: In this paper, the authors extend the results of Meyn and Tweedie (1992b) from discrete-time parameter to continuous-parameter Markovian processes evolving on a topological space, and prove connections between these and standard probabilistic recurrence concepts.
Journal ArticleDOI
Variational problems on flows of diffeomorphisms for image matching
Paul Dupuis,Ulf Grenander +1 more
TL;DR: A food plate package having a bottom plate and a top cover for the temporary storage of prepared food products, the top cover being convex-oval, with support ribs integrally formed in the cover.
Journal ArticleDOI
Super-resolution in time-reversal acoustics
TL;DR: The phenomenon of super-resolution in time-reversal acoustics is analyzed theoretically and with numerical simulations and numerical simulations confirm the theory.
References
More filters
Journal ArticleDOI
Particles and fields in fluid turbulence
TL;DR: In this paper, the first analytical description of anomalous scaling laws in turbulent transport has been obtained and the underlying physical mechanism reveals the role of statistical integrals of motion in nonequilibrium systems.
Journal ArticleDOI
What Are SRB Measures, and Which Dynamical Systems Have Them?
TL;DR: In this article, the authors reported on some of the main results surrounding an invariant measure introduced by Sinai, Ruelle, and Bowen in the 1970s, called SRB measures, as these objects are called.
Journal ArticleDOI
Stability of Markovian processes II: continuous-time processes and sampled chains
Sean P. Meyn,Richard L. Tweedie +1 more
TL;DR: In this paper, the authors extend the results of Meyn and Tweedie (1992b) from discrete-time parameter to continuous-parameter Markovian processes evolving on a topological space, and prove connections between these and standard probabilistic recurrence concepts.
Journal ArticleDOI
Well-posedness of the transport equation by stochastic perturbation
TL;DR: In this paper, it was shown that a multiplicative stochastic perturbation of Brownian type is enough to render the linear transport equation well-posed. But it was not shown that multiplicative perturbations alone are sufficient to render a deterministic PDE wellposed.
Journal ArticleDOI
Super-resolution in time-reversal acoustics
TL;DR: The phenomenon of super-resolution in time-reversal acoustics is analyzed theoretically and with numerical simulations and numerical simulations confirm the theory.
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