Smooth approximation of stochastic differential equations

From MaRDI portal
Publication:272965

DOI10.1214/14-AOP979zbMath1372.60082arXiv1403.7281OpenAlexW1919802340MaRDI QIDQ272965

F. Blanchet-Sadri, M. Dambrine

Publication date: 21 April 2016

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.7281




Related Items

Asymptotic behavior of random Navier-Stokes equations driven by Wong-Zakai approximationsWong–Zakai approximations of second-order stochastic lattice systems driven by additive white noiseA spectral approach for quenched limit theorems for random expanding dynamical systemsIterated invariance principle for slowly mixing dynamical systemsDeterministic homogenization under optimal moment assumptions for fast-slow systems. IDeterministic homogenization under optimal moment assumptions for fast-slow systems. IIDISCRETIZATION PROCESSING OF FINANCIAL RISK MANAGEMENT USING STOCHASTIC DIFFERENTIAL EQUATION SIMULATION METHODBallistic random walks in random environment as rough paths: convergence and area anomalyDeterministic homogenization for fast-slow systems with chaotic noiseWong–Zakai approximations and limiting dynamics of stochastic Ginzburg–Landau equationsAsymptotic behavior of random FitzHugh-Nagumo systems driven by colored noiseWong-Zakai approximations and attractors for stochastic reaction-diffusion equations on unbounded domainsA priori bounds for rough differential equations with a non-linear damping termLong term behavior of random Navier-Stokes equations driven by colored noiseWong-Zakai approximations and attractors for non-autonomous stochastic FitzHugh-Nagumo system on unbounded domainsConjugate dynamics on center-manifolds for stochastic partial differential equationsWong–Zakai approximations for non-autonomous stochastic parabolic equations with X-elliptic operators in higher regular spacesStrong diffusion approximation in averaging with dynamical systems fast motionsRough paths and SPDERandom‐like properties of chaotic forcingExistence of periodic solutions in distribution for stochastic Newtonian systemsDifferential equations driven by rough paths with jumpsWong-Zakai type approximations of rough random dynamical systems by smooth noiseSuperdiffusive limits for deterministic fast-slow dynamical systemsStatistical properties for flows with unbounded roof function, including the Lorenz attractorWong-Zakai approximations and asymptotic behavior of stochastic Ginzburg-Landau equationsWong-Zakai approximations and periodic solutions in distribution of dissipative stochastic differential equationsSmooth Random Functions, Random ODEs, and Gaussian ProcessesThe Wong-Zakai approximations of invariant manifolds and foliations for stochastic evolution equationsHigher-order Wong-Zakai approximations of stochastic reaction-diffusion equations on \(\mathbb{R}^N\)A discontinuous Galerkin method for systems of stochastic differential equations with applications to population biology, finance, and physicsCanonical RDEs and general semimartingales as rough pathsMartingale approximations and anisotropic Banach spaces with an application to the time-one map of a Lorentz gasOn Eagleson's theorem in the non‐stationary setupStationary approximations of stochastic wave equations on unbounded domains with critical exponentsMartingale-coboundary decomposition for families of dynamical systemsStrong approximation rate for Wiener process by fast oscillating integrated Ornstein-Uhlenbeck processesAutonomous evolution of electron speeds in a thermostatted system: exact resultsRough flows and homogenization in stochastic turbulenceWong-Zakai approximations and center manifolds of stochastic differential equationsFluctuations in the heterogeneous multiscale methods for fast-slow systemsWong-Zakai approximations and attractors for stochastic wave equations driven by additive noiseA note on statistical properties for nonuniformly hyperbolic systems with slow contraction and expansionHomogenization of coupled fast-slow systems via intermediate stochastic regularizationAdditive functionals as rough pathsSharp statistical properties for a family of multidimensional nonMarkovian nonconformal intermittent mapsFinite dimensional reducing and smooth approximating for a class of stochastic partial differential equationsWong–Zakai approximations and long term behavior of stochastic FitzHugh–Nagumo systemWong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domainsPredicting critical transitions in multiscale dynamical systems using reservoir computingRate of convergence in the weak invariance principle for deterministic systemsApproximate dynamics of a class of stochastic wave equations with white noiseWong-Zakai approximations and long term behavior of stochastic partial differential equationsRandom attractors of FitzHugh–Nagumo systems driven by colored noise on unbounded domainsSimulation of Non-Lipschitz Stochastic Differential Equations Driven by $\alpha$-Stable Noise: A Method Based on Deterministic HomogenizationSharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiardsConditioned Lyapunov exponents for random dynamical systemsKernel Analog Forecasting: Multiscale Test ProblemsRough homogenisation with fractional dynamicsWong-Zakai approximation for stochastic differential equations driven by \(G\)-Brownian motionFunctional correlation bounds and optimal iterated moment bounds for slowly-mixing nonuniformly hyperbolic mapsRough path recursions and diffusion approximations



Cites Work