Strong and weak convergence rates for slow-fast stochastic differential equations driven by \(\alpha \)-stable process
From MaRDI portal
Publication:2073216
DOI10.3150/21-BEJ1345zbMath1494.60068arXiv2004.02595OpenAlexW3213256101WikidataQ115223029 ScholiaQ115223029MaRDI QIDQ2073216
Yingchao Xie, Longjie Xie, Xiaobin Sun
Publication date: 1 February 2022
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.02595
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic integral equations (60H20)
Related Items (8)
Central limit type theorem and large deviation principle for multi-scale McKean-Vlasov SDEs ⋮ Orders of strong and weak averaging principle for multi-scale SPDEs driven by \(\alpha \)-stable process ⋮ Weak averaging principle for multiscale stochastic dynamical systems driven by stable processes ⋮ Fast-slow stochastic dynamical system with singular coefficients ⋮ Well-posedness and averaging principle of McKean-Vlasov SPDEs driven by cylindrical α-stable process ⋮ Strong convergence rate for slow-fast stochastic differential equations with Markovian switching ⋮ Optimal strong convergence rate for a class of McKean-Vlasov SDEs with fast oscillating perturbation ⋮ Analysis of multiscale methods for stochastic dynamical systems driven by \(\alpha\)-stable processes
Cites Work
- Unnamed Item
- Strong averaging principle for slow-fast SPDEs with Poisson random measures
- \(L^{p}\)-strong convergence of the averaging principle for slow-fast SPDEs with jumps
- Strong and weak orders in averaging for SPDEs
- Average and deviation for slow-fast stochastic partial differential equations
- Two-time-scale stochastic partial differential equations driven by \(\alpha\)-stable noises: averaging principles
- Strong convergence of principle of averaging for multiscale stochastic dynamical systems
- Strong convergence in stochastic averaging principle for two time-scales stochastic partial differential equations
- Multiple timescales, mixed mode oscillations and canards in models of intracellular calcium dynamics
- Strong convergence rate of principle of averaging for jump-diffusion processes
- Structural properties of semilinear SPDEs driven by cylindrical stable processes
- Averaging principle for the higher order nonlinear Schrödinger equation with a random fast oscillation
- Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems
- Averaging principle for a class of stochastic reaction-diffusion equations
- On Poisson equation and diffusion approximation. II.
- Weak order in averaging principle for stochastic wave equation with a fast oscillation
- Averaging principle for one dimensional stochastic Burgers equation
- Weak order in averaging principle for stochastic differential equations with jumps
- Limit behavior of two-time-scale diffusions revisited
- Averaging principle for stochastic Kuramoto-Sivashinsky equation with a fast oscillation
- On the Poisson equation and diffusion approximation. I
- Diffusion approximation for slow motion in fully coupled averaging
- Exponential ergodicity and strong ergodicity for SDEs driven by symmetric \(\alpha \)-stable processes
- Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations
- Orders of convergence in the averaging principle for SPDEs: the case of a stochastically forced slow component
- Averaging principle for slow-fast stochastic Burgers equation driven by \(\alpha \)-stable process
- Averaging principle for stochastic Korteweg-de Vries equation
- Averaging principle for slow-fast stochastic differential equations with time dependent locally Lipschitz coefficients
- Averaging principle for stochastic real Ginzburg-Landau equation driven by \(\alpha\)-stable process
- Averaging principle for multiscale stochastic Klein-Gordon-heat system
- Strong convergence in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales
- A Khasminskii type averaging principle for stochastic reaction-diffusion equations
- Multi-timescale systems and fast-slow analysis
- Another proof of the averaging principle for fully coupled dynamical systems with hyperbolic fast motions
- Strong averaging principle for two-time-scale non-autonomous stochastic FitzHugh-Nagumo system with jumps
- Analysis of an HMM Time-Discretization Scheme for a System of Stochastic PDEs
- Averaging Principle for Systems of Reaction-Diffusion Equations with Polynomial Nonlinearities Perturbed by Multiplicative Noise
- ON THE AVERAGING PRINCIPLE FOR SYSTEMS OF STOCHASTIC DIFFERENTIAL EQUATIONS
- Data assimilation and parameter estimation for a multiscale stochastic system withα-stable Lévy noise
- Strong Convergence Rate for Two-Time-Scale Jump-Diffusion Stochastic Differential Systems
- Lévy Processes and Stochastic Calculus
- On Averaging Principles: An Asymptotic Expansion Approach
- Slow manifolds for a nonlocal fast-slow stochastic system with stable Lévy noise
- Stochastic Partial Differential Equations with Levy Noise
- Multiscale Methods
- Analysis of multiscale methods for stochastic differential equations
This page was built for publication: Strong and weak convergence rates for slow-fast stochastic differential equations driven by \(\alpha \)-stable process