Stochastics and Dynamics

Papers
(The TQCC of Stochastics and Dynamics is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-09-01 to 2025-09-01.)
ArticleCitations
Limit measures and ergodicity of fractional stochastic reaction–diffusion equations on unbounded domains17
Identifying stochastic governing equations from data of the most probable transition trajectories12
A proof of the additivity of rough integral11
Exponential ergodicity for a stochastic two-layer quasi-geostrophic model10
The impact of noise on Burgers equations10
Stability and stabilization of large-scale distribution-dependent SDEs9
Numerical methods for fractional Fokker–Planck equation with multiplicative Marcus Lévy noises8
Discrete-time approximation for backward stochastic differential equations driven by G-Brownian motion8
Singular limits for stochastic equations6
Distribution-dependent stochastic porous media equations6
On the topological pressure of axial product on trees6
On the rate of convergence of weighted oscillating ergodic averages6
Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter5
Averaging principle for McKean–Vlasov SDEs with Lévy noise and Hölder coefficients5
Well-posedness and invariant measures for second-order stochastic lattice systems with superlinear diffusion terms4
Random invariant densities for markov operator cocycles and random mean ergodic theorem4
Quantum synchronization for stochastic Schrödinger–Lohe model4
Quadratic variation for the solution of the nonlinear stochastic wave equation4
Random self-similar series over a rotation3
The fluctuational transition mechanism of non-hyperbolic chaotic invariant sets3
Dynamics of a stochastic phytoplankton–zooplankton system with defensive and offensive effects3
C0,1-Itô chain rules and generalized solutions of parabolic PDEs3
A large deviation principle for reflected SPDEs on infinite spatial domain3
Entropy formulae on Feldman–Katok metric of random dynamical systems3
Stochastic Newton equations in the strong potential limit for the multi-dimensional case3
Gâteaux type path-dependent PDEs and BSDEs with Gaussian forward processes3
Asymptotic behavior of stochastic p-Laplacian equations with dynamic boundary conditions3
Deviation properties for linear self-attracting diffusion process and applications3
Geometric ergodicity of SGLD via reflection coupling3
Locally Lipschitz BSDE with jumps and related Kolmogorov equation3
Strong solutions and asymptotic behavior of bidomain equations with random noise3
Remotely almost periodicity for SDEs under the framework of evolution system2
Unstable manifolds for rough evolution equations2
Approximations of Lévy processes by integrated fast oscillating Ornstein–Uhlenbeck processes2
Intermittency phenomena for mass distributions of stochastic flows with interaction2
Optimal index and averaging principle for Itô–Doob stochastic fractional differential equations2
Uniform large deviation principles of fractional reaction–diffusion equations driven by superlinear multiplicative noise on ℝn2
Reflected BSDEs driven by G-Brownian motion with time-varying Lipschitz coefficients2
Stability analysis of a stochastic discrete pest-natural enemy model with integrated pest management strategy2
Well-posedness of a system of SDEs driven by jump random measures2
Infinite horizon multi-dimensional BSDE with oblique reflection and switching problem2
The most probable transition pathway of a predator–prey system under noise2
Averaging principle for stochastic 3D generalized Navier–Stokes equations2
Data-driven discovery of slow–fast stochastic differential equations with data binning and sparse bayesian strategy2
Semicontinuous evolution systems of enlarged measures for superlinear stochastic porous media lattice equations2
Nonuniform dependence for high-dimensional modified Euler–Poincaré system with multiplicative noises2
Rolling with random slipping and twisting: A large deviation point of view2
Quadratic variation and drift parameter estimation for the stochastic wave equation with space-time white noise2
Mean-field BSDEs with weak monotonicity and general growth generators2
Weak solutions and invariant measures for some class of SPDE’s2
Reflected stochastic differential equations driven by standard and fractional Brownian motion2
Physical measures of asymptotically autonomous dynamical systems1
Average preserving variation processes in view of optimization1
Large deviations for Hamiltonian systems on intermediate time scales1
On the coercivity condition in the learning of interacting particle systems1
Doubly reflected BSDEs driven by RCLL martingales under stochastic Lipschitz coefficient1
Global well-posedness for the nonlinear generalized parabolic Anderson model equation1
Entropy estimates for uniform attractors of 2D Navier–Stokes equations with weakly normal measures1
Limit theorems for Cox–Ingersoll–Ross process with externally and self-exciting jumps and application to finance1
A note on weak existence for singular SDEs1
An optimal estimate for linear reaction subdiffusion equations with Neumann boundary conditions1
Weak mean random attractors for nonautonomous stochastic parabolic equation with variable exponents1
Three-dimensional stochastic Navier–Stokes equations with Markov switching1
Stochastic averaging principle for neutral stochastic functional differential equations driven by G-Lévy process1
Bohl–Perron theorem for random dynamical systems1
Regularization of differential equations by two fractional noises1
Local zero-stability of rough evolution equations1
Preface – Special issue: Random dynamics1
Analysis of a new stochastic Gompertz diffusion model for untreated human glioblastomas1
The asymptotic behavior of solutions for stochastic evolution equations with pantograph delay1
The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise1
Space-time fractional Anderson model driven by Gaussian noise rough in space1
Rate of convergence for the Smoluchowski–Kramers approximation for distribution-dependent SDEs driven by fractional Brownian motions1
Berry–Esséen bound for complex Wiener–Itô integral1
On the stability of mean-field stochastic differential equations with irregular expectation functional1
Convergence problem of reduced Ostrovsky equation in Fourier–Lebesgue spaces with rough data and random data1
Reflected BSDES driven by G-brownian motion with non-Lipschitz coefficients1
First passage time and mean exit time for switching Brownian motion1
Smoothness of invariant manifolds for stochastic evolution equations with non-dense domain1
Parametrized families of Gibbs measures and their statistical inference1
Mixing properties of a class of nonuniformly expanding maps. Application to Holderian invariance principles1
Continuity in law for solutions of SPDES with space-time homogeneous Gaussian noise1
Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattice systems with Markovian structure1
Kolmogorov bounds in the CLT of the LSE for Gaussian Ornstein Uhlenbeck processes1
C1-convergence of unstable foliations of stochastic evolution equations on thin domain1
On weak existence of solutions of degenerate McKean–Vlasov equations1
Quenched limit theorems for expanding on average cocycles1
Global solutions for semilinear rough partial differential equations1
Stochastic averaging for a completely integrable Hamiltonian system with fractional Brownian motion1
An example of intrinsic randomness in deterministic PDES1
Author index Volume 241
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