Cover Image

Averaging principle for SDEs with singular drifts driven by $α$-stable processes

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cheng, Mengyu, Hao, Zimo, Zhang, Xicheng
Format:	Preprint
Published:	2024
Subjects:	Dynamical Systems Probability 60H10, 34C29
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

SDEs with supercritical distributional drifts
by: Hao, Zimo, et al.
Published: (2023)

SDE driven by cylindrical $α$-stable process with distributional drift
by: Hao, Zimo, et al.
Published: (2023)

Dynamical systems with fast switching and slow diffusion: Hyperbolic equilibria and stable limit cycles
by: Du, Nguyen H., et al.
Published: (2019)

The multiplicative ergodic theorem for McKean-Vlasov SDEs
by: Cheng, Xianjin, et al.
Published: (2024)

Classical solution of path-dependent mean-field semilinear PDEs
by: Tang, Shanjian, et al.
Published: (2021)

The Onsager-Machlup functional for distribution dependent SDEs driven by fractional Brownian motion
by: Zhu, Yanbin, et al.
Published: (2025)

Heat kernel estimates for kinetic SDEs with drifts being unbounded and in Kato's class
by: Ren, Chongyang, et al.
Published: (2024)

The convergence of stochastic differential equations to their linearisation in small noise limits
by: Blake, Liam, et al.
Published: (2023)

Poisson stability of solutions for stochastic evolution equations driven by fractional Brownian motion
by: Zhang, Xinze, et al.
Published: (2024)

An abstract criterion on the existence and global stability of stationary solutions for random dynamical systems and its applications
by: Lv, Xiang
Published: (2025)

Strong convergence of the Euler scheme for singular kinetic SDEs driven by $α$-stable processes
by: Ling, Chengcheng
Published: (2024)

Numerical approximation of SDEs with fractional noise and distributional drift
by: Goudenège, Ludovic, et al.
Published: (2023)

Random periodic solutions for stochastic differential equations with non-uniform dissipativity
by: Bao, Jianhai, et al.
Published: (2022)

Polynomial McKean-Vlasov SDEs
by: Cuchiero, Christa, et al.
Published: (2025)

Generalized Ornstein-Uhlenbeck process for affine stochastic functional differential equations and its applications
by: Lv, Xiang
Published: (2025)

Strong regularization by noise for a class of kinetic SDEs driven by symmetric α-stable processes
by: Lucertini, Giacomo, et al.
Published: (2024)

On the density of singular SDEs with fractional noise and applications to McKean-Vlasov equations
by: Anzeletti, Lukas, et al.
Published: (2025)

$W_{\bf d}$-convergence rate of EM schemes for invariant measures of supercritical stable SDEs
by: Chen, Peng, et al.
Published: (2024)

Gradual convergence for Langevin dynamics on a degenerate potential
by: Barrera, Gerardo, et al.
Published: (2022)

Connecting Orbits in Cooperative McKean-Vlasov SDEs
by: Liu, Chunlin, et al.
Published: (2024)

Continuity of Lyapunov exponents for stochastic differential equations
by: Liu, Zhenxin, et al.
Published: (2024)

Resonance in isochronous systems with decaying oscillatory and stochastic perturbations
by: Sultanov, Oskar A.
Published: (2025)

Rivers under Noise
by: Scheutzow, Michael, et al.
Published: (2024)

Well-posedness of a system of SDEs driven by jump random measures
by: Jiao, Ying, et al.
Published: (2021)

Coarse graining of stochastic differential equations: averaging and projection method
by: Duong, Manh Hong, et al.
Published: (2025)

Stochastic bifurcation of a three-dimensional stochastic Kolmogorov system
by: Xiao, Dongmei, et al.
Published: (2024)

Almost Sure Diffusion Approximation in Averaging: Direct Proofs with Rough Paths Flavors
by: Kifer, Yuri
Published: (2024)

$χ^2$-cut-off phenomenon for Galerkin projections of Fokker-Planck equations with monomial potentials
by: Avelin, Benny, et al.
Published: (2026)

Metastability in the stochastic nearest-neighbor Kuramoto model of coupled phase oscillators
by: Berglund, Nils, et al.
Published: (2024)

Exponential Stability of Higher-Order Fractional Neutral Stochastic Differential Equation via Integral Contractors
by: Chalishajar, Dimplekumar, et al.
Published: (2024)

Almost sure diffusion approximation in averaging via rough paths theory
by: Friz, Peter, et al.
Published: (2021)

Singular stochastic delay equations driven by fractional Brownian motion: Dynamics, longtime behaviour, and pathwise stability
by: Varzaneh, Mazyar Ghani, et al.
Published: (2024)

Random Attractors for McKean-Vlasov SDEs
by: Cheng, Mengyu, et al.
Published: (2025)

Resonance in isochronous systems with decaying oscillatory perturbations
by: Sultanov, Oskar A.
Published: (2024)

Expansion and attraction of RDS: long time behavior of the solution to singular SDE
by: Ling, Chengcheng, et al.
Published: (2022)

Averaging principle for two time-scale stochastic differential equations with fast component in noncompact space
by: Wang, Shen, et al.
Published: (2022)

$L^{α-1}$ distance between two one-dimensional stochastic differential equations with drift terms driven by a symmetric $α$-stable process
by: Nakagawa, Takuya
Published: (2025)

Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise
by: Sultanov, Oskar A.
Published: (2024)

Nonlinear resonance in systems with decaying perturbations and noise
by: Sultanov, Oskar A.
Published: (2025)

Derivative estimates for SDEs with singular and unbounded coefficients
by: Xia, Pengcheng, et al.
Published: (2026)