Stochastics and Dynamics

Papers
(The median citation count of Stochastics and Dynamics is 0. 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 2021-06-01 to 2025-06-01.)
ArticleCitations
Exponential ergodicity for a stochastic two-layer quasi-geostrophic model17
Singular limits for stochastic equations17
Identifying stochastic governing equations from data of the most probable transition trajectories11
Discrete-time approximation for backward stochastic differential equations driven by G-Brownian motion10
Stability and stabilization of large-scale distribution-dependent SDEs9
Numerical methods for fractional Fokker–Planck equation with multiplicative Marcus Lévy noises8
On the topological pressure of axial product on trees8
The impact of noise on Burgers equations8
A proof of the additivity of rough integral8
Limit measures and ergodicity of fractional stochastic reaction–diffusion equations on unbounded domains7
Well-posedness and invariant measures for second-order stochastic lattice systems with superlinear diffusion terms7
Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter6
Averaging principle for McKean–Vlasov SDEs with Lévy noise and Hölder coefficients5
Quantum synchronization for stochastic Schrödinger–Lohe model5
Random invariant densities for markov operator cocycles and random mean ergodic theorem5
Distribution-dependent stochastic porous media equations4
Deviation properties for linear self-attracting diffusion process and applications4
Quadratic variation for the solution of the nonlinear stochastic wave equation4
On the rate of convergence of weighted oscillating ergodic averages4
Characterization of stochastic equilibrium controls by the Malliavin calculus4
Gâteaux type path-dependent PDEs and BSDEs with Gaussian forward processes3
The most probable transition pathway of a predator–prey system under noise3
A large deviation principle for reflected SPDEs on infinite spatial domain3
Entropy formulae on Feldman–Katok metric of random dynamical systems3
Dynamics of a stochastic phytoplankton–zooplankton system with defensive and offensive effects3
Stochastic Newton equations in the strong potential limit for the multi-dimensional case3
The fluctuational transition mechanism of non-hyperbolic chaotic invariant sets3
Random self-similar series over a rotation3
Strong solutions and asymptotic behavior of bidomain equations with random noise3
Geometric ergodicity of SGLD via reflection coupling3
Data-driven discovery of slow-fast stochastic differential equations with data binning and sparse bayesian strategy2
Asymptotic behavior of stochastic p-Laplacian equations with dynamic boundary conditions2
Approximations of Lévy processes by integrated fast oscillating Ornstein–Uhlenbeck processes2
Weak solutions and invariant measures for some class of SPDE’s2
Infinite horizon multi-dimensional BSDE with oblique reflection and switching problem2
Well-posedness of a system of SDEs driven by jump random measures2
Quadratic variation and drift parameter estimation for the stochastic wave equation with space-time white noise2
Optimal index and averaging principle for Itô–Doob stochastic fractional differential equations2
C0,1-Ito chain rules and generalized solutions of parabolic PDEs.2
Averaging principle for stochastic 3D generalized Navier–Stokes equations2
Uniform Large Deviation Principles of Fractional Reaction-Diffusion Equations Driven by Superlinear Multiplicative Noise on ℝn2
An example of intrinsic randomness in deterministic PDES2
Intermittency phenomena for mass distributions of stochastic flows with interaction2
Locally Lipschitz BSDE with jumps and related Kolmogorov equation2
Reflected BSDEs driven by G-Brownian motion with time-varying Lipschitz coefficients2
Reflected stochastic differential equations driven by standard and fractional Brownian motion2
Unstable manifolds for rough evolution equations2
Rolling with random slipping and twisting: A large deviation point of view2
Preface – Special issue: Random dynamics1
Rate of convergence for the Smoluchowski–Kramers approximation for distribution-dependent SDEs driven by fractional Brownian motions1
Space-time fractional Anderson model driven by Gaussian noise rough in space1
Berry–Esséen bound for complex Wiener–Itô integral1
Internet congestion control: From stochastic to dynamical models1
Global solutions for semilinear rough partial differential equations1
Convergence problem of reduced Ostrovsky equation in Fourier–Lebesgue spaces with rough data and random data1
Stability analysis of a stochastic discrete pest-natural enemy model with integrated pest management strategy1
Stochastic averaging for a completely integrable Hamiltonian system with fractional Brownian motion1
Physical measures of asymptotically autonomous dynamical systems1
First passage time and mean exit time for switching Brownian motion1
Local zero-stability of rough evolution equations1
Smoothness of invariant manifolds for stochastic evolution equations with non-dense domain1
Bohl–Perron theorem for random dynamical systems1
Analysis of a new stochastic Gompertz diffusion model for untreated human glioblastomas1
Doubly reflected BSDEs driven by RCLL martingales under stochastic Lipschitz coefficient1
Entropy estimates for uniform attractors of 2D Navier–Stokes equations with weakly normal measures1
Kolmogorov bounds in the CLT of the LSE for Gaussian Ornstein Uhlenbeck processes1
Limit Theorems for Cox-Ingersoll-Ross Process with Externally and Self-Exciting Jumps and Application to Finance1
Continuity in law for solutions of SPDES with space-time homogeneous Gaussian noise1
An optimal estimate for linear reaction subdiffusion equations with Neumann boundary conditions1
On the stability of mean-field stochastic differential equations with irregular expectation functional1
Remotely almost periodicity for SDEs under the framework of evolution system1
Author index Volume 241
On nonlinear Feynman–Kac formulas for viscosity solutions of semilinear parabolic partial differential equations1
Three-dimensional stochastic Navier–Stokes equations with Markov switching1
Parametrized families of Gibbs measures and their statistical inference1
Average preserving variation processes in view of optimization1
On the coercivity condition in the learning of interacting particle systems1
Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattice systems with Markovian structure1
The asymptotic behavior of solutions for stochastic evolution equations with pantograph delay1
Wong–Zakai approximations of second-order stochastic lattice systems driven by additive white noise1
Global well-posedness for the nonlinear generalized parabolic Anderson model equation1
A note on weak existence for singular SDEs1
On weak existence of solutions of degenerate McKean–Vlasov equations1
Weak mean random attractors for nonautonomous stochastic parabolic equation with variable exponents1
Nonuniform dependence for high-dimensional modified Euler–Poincaré system with multiplicative noises1
Quenched limit theorems for expanding on average cocycles1
Stochastic averaging principle for neutral stochastic functional differential equations driven by G-Lévy process1
The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise1
Large deviations for Hamiltonian systems on intermediate time scales1
High order Anderson parabolic model driven by rough noise in space1
Regularization of differential equations by two fractional noises1
Asymptotic pressure on some self-similar trees0
Typical properties of ergodic optimization for asymptotically additive potentials0
Stability, uniqueness and existence of solutions to McKean–Vlasov SDEs: a multidimensional Yamada–Watanabe approach0
Existence and concentration of positive solutions to a fractional system with saturable term0
Stochastic turbulence for Burgers equation driven by cylindrical Lévy process0
Approximation for a generalized Langevin equation with high oscillation in time and space0
Climate change for global warming 1.5∘C under the influence of multiplicative Gaussian noise0
An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise0
A Monte Carlo algorithm for multiple stochastic integrals of stable processes0
Large deviations for Lévy diffusions in the small noise regime0
Attractors of deterministic and random lattice difference equations0
Dynamics of a multi-species lottery competition model in stochastic environments0
Uniformity of singular value exponents for typical cocycles0
Penalization for a PDE with a nonlinear Neumann boundary condition and measurable coefficients0
Deviation principles of a stochastic Leray-α system with fractional dissipation0
Stable large deviations for deterministic dynamical systems0
Stochastic n-point D-bifurcations of stochastic Lévy flows and their complexity on finite spaces0
Labeled partitions in action: Recombination, selection, mutation and more0
Synchronization for KPZ0
Limiting behavior of FitzHugh–Nagumo equations driven by colored noise on unbounded thin domains0
Moderate deviations for stochastic Kuramoto–Sivashinsky equation0
Reflected BSDEs when the obstacle is predictable and nonlinear optimal stopping problem0
The perfection of local semi-flows and local random dynamical systems with applications to SDEs0
Simple bounds on the most predictable component of a stochastic model0
Data-driven method to extract mean exit time and escape probability for dynamical systems driven by Lévy noises0
Stochastic dynamics and data science0
Mean asymptotic behavior for stochastic Kuramoto–Sivashinshy equation in Bochner spaces0
Wrapped processes on circular lattices for planar directions0
Dynamics and probability density function of a stochastic COVID-19 epidemic model with nonlinear incidence0
Rate of homogenization for fully-coupled McKean–Vlasov SDEs0
On the induced measure-theoretic entropy for random dynamical systems0
An optimal control problem for a linear SPDE driven by a multiplicative multifractional Brownian motion0
Asymptotic Log-Harnack inequality for the 2D Ericksen–Leslie model system with degenerate noise and damping0
Spreading speeds of random KPP equations with nonlocal diffusion0
Higher-dimensional open quantum walk in environment of quantum Bernoulli noises0
LaSalle-type stationary oscillation principle for stochastic affine periodic systems0
Stochastic 2D rotating Euler flows with bounded vorticity or white noise initial conditions0
Existence of solutions for mean-field integrodifferential equations with delay0
The two-barrier escape problem for compound renewal processes with two-sided jumps0
From Loewner-captive Hermitian diffusions to risk-captive efficient frontiers0
Weak pullback mean random attractors for stochastic evolution equations and applications0
Large deviation limits of invariant measures0
On a stochastic nonlocal system with discrete diffusion modeling life tables0
Random circular billiards on surfaces of constant curvature: Pseudo integrability and mixing0
Functional equations for the stochastic exponential0
Asymptotic behavior of maximum likelihood estimators for Ornstein–Uhlenbeck process with large linear drift0
Preface for the Second Volume of the Special Issue Dedicated to the 65th Birthday of Björn Schmalfuß0
Invariant measures for random expanding on average Saussol maps0
Mild stochastic sewing lemma, SPDE in random environment, and fractional averaging0
Existence of global and explosive mild solutions of fractional reaction–diffusion system of semilinear SPDEs with fractional noise0
Maxitive monetary risk measures: Worst-case risk assessment and sharp large deviations0
Small perturbations may change the sign of Lyapunov exponents for linear SDEs0
Arcsine and Darling–Kac laws for piecewise linear random interval maps0
Mean-field equilibrium price formation with exponential utility0
Ergodicity of exclusion semigroups constructed from quantum Bernoulli noises0
Stochastic differential equations with Hölder–Dini drift and driven by α-stable processes0
Quadratic BSDEs with mean reflection driven by G-brownian motion0
One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems0
A probabilistic numerical method for a class of mean field games0
Stochastic elliptic–parabolic system arising in porous media0
Author index Volume 210
Sensitivity of steady states in a degenerately damped stochastic Lorenz system0
Gaussian structure in coalescing stochastic flows0
Local linear estimator for fractional diffusions0
On the weak invariance principle for non-adapted stationary random fields under projective criteria0
Wong–Zakai approximations and limiting dynamics of stochastic Ginzburg–Landau equations0
Attractors for multi-valued lattice dynamical systems with nonlinear diffusion terms0
Forward–backward stochastic differential equations with delay generators0
The non-Lipschitz stochastic Cahn–Hilliard–Navier–Stokes equations in two space dimensions0
Regularity for distribution-dependent SDEs driven by jump processes0
Limiting behavior of invariant measures of stochastic reaction–diffusion equations on thin domains0
Central exponents of linear stochastic differential-algebraic equations of index 10
On the limit distribution for stochastic differential equations driven by cylindrical non-symmetric α-stable Lévy processes0
Volterra equations driven by rough signals 2: Higher-order expansions0
Periodic measures for a class of SPDEs with regime-switching0
Continuity and topological structural stability for nonautonomous random attractors0
Invariant submanifolds for solutions to rough differential equations0
Well-posedness of stochastic variational inequalities with discontinuous drifts0
Reflected stochastic partial differential equations with jumps0
Preface0
Comparison of classical and path-by-path solutions to SDEs0
First-order linear Marcus SPDEs0
Talagrand’s quadratic transportation cost inequalities for SPDEs driven by fractional noises with two reflection walls0
Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model0
Stochastic rotating waves0
Stochastic differential equations with respect to optional semimartingales and two reflecting regulated barriers0
On the geometric ergodicity for a generalized IFS with probabilities0
Invariant measure for 2D stochastic Cahn–Hilliard–Navier–Stokes equations0
Second-order McKean–Vlasov stochastic evolution equation driven by Poisson jumps: Existence, uniqueness and averaging principle0
Public private partnerships contract under moral hazard and ambiguous information0
Practical stability analysis of stochastic perturbed linear time-varying systems via integral inequality0
Reflected and doubly reflected BSDEs driven by RCLL martingales0
Mild solutions to time-fractional stochastic semi-linear wave equations0
On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion0
Large deviation principles for a 2D stochastic Allen–Cahn–Navier–Stokes driven by jump noise0
Large deviation principle for a 2D liquid crystal model with multiplicative noise0
Stationary solutions and invariant measures for SDEs driven by Lévy processes with Markovian switching0
The exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Lévy noise0
Viability for impulsive stochastic differential inclusions driven by fractional Brownian motion0
A note on the G-Itô Formula and a comment on “Averaging Principle for SDEs of Neutral Type Driven by G-Brownian Motion”0
Analysis of a microfluidic chemostat model with random dilution ratios0
Deviation and concentration inequalities for dynamical systems with subexponential decay of correlations0
Dynamical behaviors of an impulsive stochastic neural field lattice model0
A two-dimensional stochastic fractional non-local diffusion lattice model with delays0
Uniform-in-time bounds for a stochastic hybrid system with fast periodic sampling and small white-noise0
Preface for the Special Issue in Memory of María J. Garrido-Atienza0
Representation of solutions to sticky stochastic differential equations0
Author index Volume 230
The most likely transition path for a class of distribution-dependent stochastic systems0
Holonomies for foliations with extreme disintegration behavior0
Nonautonomous attractors and Young measures0
The limit behavior of SEIRS model in spatial grid0
Strong rates of convergence of space-time discretization schemes for the 2D Navier–Stokes equations with additive noise0
Strong solutions of SDEs with singular (form-bounded) drift via Röckner–Zhao approach0
The probability of events for stochastic parabolic equations0
Existence and uniqueness of global solutions to the stochastic heat equation with superlinear drift on an unbounded spatial domain0
Moderate deviations for a stochastic Schrödinger equation with linear drift0
Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise0
Density of nonzero exponent of contraction for pinching cocycles in Hom(S1)0
Large deviations of one-hidden-layer neural networks0
Uniform large deviations of fractional stochastic equations with polynomial drift on unbounded domains0
Small time asymptotics for a class of stochastic partial differential equations with fully monotone coefficients forced by multiplicative Gaussian noise0
Large deviation principle for backward stochastic differential equations with a stochastic Lipschitz condition on z0
Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations0
Exponential stability of stochastic systems: A pathwise approach0
Weak mean random attractors for non-local random and stochastic reaction–diffusion equations0
Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and mostly contracting centers0
Invariant measures and boundedness in the mean for stochastic equations driven by Lévy noise0
Nonexistence of observable chaos and its robustness in strongly monotone dynamical systems0
A stochastic Sir epidemic evolution model with non-concave force of infection: Mathematical modeling and analysis0
Large deviation for slow-fast McKean–Vlasov stochastic differential equations driven by fractional Brownian motions and Brownian motions0
Some perpetual integral functionals of the three-dimensional Bessel process0
Deterministic limit of a density-dependent population model with triangle type nonlocal cross-diffusion0
Flocking dynamics of a coupled system in noisy environments0
An approximate approach to fuzzy stochastic differential equations under sub-fractional Brownian motion0
Global solution to non-self-adjoint stochastic Volterra equation0
Author index Volume 220
Weak Mean Attractors, Ergodicity and Large Deviation Principle of Stochastic Klein-Gordon-Schrodinger Lattice Systems0
Convergence of nonlinear filtering for multiscale systems with correlated Lévy noises0
Preface0
Binary robustness of random attractors for 2D-Ginzburg–Landau equations with Wong–Zakai noise0
The β-Delaunay tessellation IV: Mixing properties and central limit theorems0
Estimates of constants in the limit theorems for chaotic dynamical systems0
Random walk on the Poincaré disk0
Results on approximate controllability for fractional stochastic delay differential systems of order r ∈ (1,2)0
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