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 2020-11-01 to 2024-11-01.)
ArticleCitations
C∞− regularization of ODEs perturbed by noise19
On nonlinear Feynman–Kac formulas for viscosity solutions of semilinear parabolic partial differential equations13
Limit measures and ergodicity of fractional stochastic reaction–diffusion equations on unbounded domains13
A logistic-harvest model with allee effect under multiplicative noise10
An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise8
Stochastic turbulence for Burgers equation driven by cylindrical Lévy process8
Strong rates of convergence of space-time discretization schemes for the 2D Navier–Stokes equations with additive noise8
Optimal index and averaging principle for Itô–Doob stochastic fractional differential equations7
Synchronization for KPZ7
Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations6
Global solutions for semilinear rough partial differential equations6
On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion5
Wong–Zakai approximations of second-order stochastic lattice systems driven by additive white noise5
Weak pullback mean random attractors for stochastic evolution equations and applications4
Rate of homogenization for fully-coupled McKean–Vlasov SDEs4
Generalized heredity in ℬ-free systems4
Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise3
Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces3
Almost periodicity and periodicity for nonautonomous random dynamical systems3
Unique equilibrium states for some intermediate beta transformations3
Infinite horizon multi-dimensional BSDE with oblique reflection and switching problem3
Reflected BSDEs when the obstacle is predictable and nonlinear optimal stopping problem3
On some properties of sticky Brownian motion3
Reflected and doubly reflected BSDEs driven by RCLL martingales3
Ergodicity of exclusion semigroups constructed from quantum Bernoulli noises3
Higher-dimensional open quantum walk in environment of quantum Bernoulli noises3
Volterra equations driven by rough signals 2: Higher-order expansions3
Deviation and concentration inequalities for dynamical systems with subexponential decay of correlations2
First passage time and mean exit time for switching Brownian motion2
Locally Lipschitz BSDE with jumps and related Kolmogorov equation2
Attractors of deterministic and random lattice difference equations2
Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter2
Mean-field backward–forward stochastic differential equations and nonzero sum stochastic differential games2
Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains2
Physical measures of asymptotically autonomous dynamical systems2
Strong solutions and asymptotic behavior of bidomain equations with random noise2
Stochastic n-point D-bifurcations of stochastic Lévy flows and their complexity on finite spaces2
Distribution-dependent stochastic porous media equations2
Mild stochastic sewing lemma, SPDE in random environment, and fractional averaging2
Arcsine and Darling–Kac laws for piecewise linear random interval maps2
The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise2
Results on approximate controllability for fractional stochastic delay differential systems of order r ∈ (1,2)2
Sensitivity of steady states in a degenerately damped stochastic Lorenz system2
Wong–Zakai approximations and limiting dynamics of stochastic Ginzburg–Landau equations2
Exponential ergodicity for a stochastic two-layer quasi-geostrophic model2
Kolmogorov bounds in the CLT of the LSE for Gaussian Ornstein Uhlenbeck processes1
Existence of solutions for mean-field integrodifferential equations with delay1
The β-Delaunay tessellation IV: Mixing properties and central limit theorems1
On the joint continuity of topological pressures for sub-additive singular-valued potentials1
Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model1
Existence and uniqueness of global solutions to the stochastic heat equation with superlinear drift on an unbounded spatial domain1
Penalization for a PDE with a nonlinear Neumann boundary condition and measurable coefficients1
Invariant measures and boundedness in the mean for stochastic equations driven by Lévy noise1
An approximate approach to fuzzy stochastic differential equations under sub-fractional Brownian motion1
Regularization of differential equations by two fractional noises1
Internet congestion control: From stochastic to dynamical models1
Uniform large deviations of fractional stochastic equations with polynomial drift on unbounded domains1
LaSalle-type stationary oscillation principle for stochastic affine periodic systems1
Stochastic rotating waves1
Functional limit theorems for power series with rapid decay of moving averages of Hermite processes1
Small perturbations may change the sign of Lyapunov exponents for linear SDEs1
Invariant measures for random expanding on average Saussol maps1
Analysis of a new stochastic Gompertz diffusion model for untreated human glioblastomas1
The perfection of local semi-flows and local random dynamical systems with applications to SDEs1
The non-Lipschitz stochastic Cahn–Hilliard–Navier–Stokes equations in two space dimensions1
Asymptotic Log-Harnack inequality for the 2D Ericksen–Leslie model system with degenerate noise and damping1
Weak mean random attractors for nonautonomous stochastic parabolic equation with variable exponents1
A multifractal analysis for cuspidal windings on hyperbolic surfaces1
Unstable manifolds for rough evolution equations1
Flocking dynamics of a coupled system in noisy environments1
Central exponents of linear stochastic differential-algebraic equations of index 11
Uniformity of singular value exponents for typical cocycles1
Typical properties of ergodic optimization for asymptotically additive potentials1
Representation of solutions to sticky stochastic differential equations1
A two-dimensional stochastic fractional non-local diffusion lattice model with delays1
Large deviation principles for a 2D stochastic Allen–Cahn–Navier–Stokes driven by jump noise1
Local zero-stability of rough evolution equations1
Attractors for multi-valued lattice dynamical systems with nonlinear diffusion terms1
Least squares estimator for stochastic differential equations driven by small fractional Lévy noises from discrete observations1
Reflected stochastic partial differential equations with jumps1
Bohl–Perron theorem for random dynamical systems0
Author index Volume 220
Predictive sets0
On the coercivity condition in the learning of interacting particle systems0
Quenched limit theorems for expanding on average cocycles0
Density of nonzero exponent of contraction for pinching cocycles in Hom(S1)0
Preface for the Special Issue in Memory of María J. Garrido-Atienza0
Moderate deviations for a stochastic Schrödinger equation with linear drift0
Preface for the Second Volume of the Special Issue Dedicated to the 65th Birthday of Björn Schmalfuß0
Entropy estimates for uniform attractors of 2D Navier–Stokes equations with weakly normal measures0
Quadratic BSDEs with mean reflection driven by G-brownian motion0
Geometric ergodicity of SGLD via reflection coupling0
Stochastic elliptic–parabolic system arising in porous media0
Random invariant densities for markov operator cocycles and random mean ergodic theorem0
The asymptotic behavior of solutions for stochastic evolution equations with pantograph delay0
Random self-similar series over a rotation0
Practical stability analysis of stochastic perturbed linear time-varying systems via integral inequality0
On the stability of mean-field stochastic differential equations with irregular expectation functional0
Large deviation for slow-fast McKean-Vlasov stochastic differential equations driven by fractional Brownian motions and Brownian motions0
Dynamics and probability density function of a stochastic COVID-19 epidemic model with nonlinear incidence0
Preface0
Approximation for a generalized Langevin equation with high oscillation in time and space0
Stochastic dynamics and data science0
Global well-posedness for the nonlinear generalized parabolic Anderson model equation0
Data-driven method to extract mean exit time and escape probability for dynamical systems driven by Lévy noises0
Intermittency phenomena for mass distributions of stochastic flows with interaction0
Holonomies for foliations with extreme disintegration behavior0
On the geometric ergodicity for a generalized IFS with probabilities0
An optimal control problem for a linear SPDE driven by a multiplicative multifractional Brownian motion0
Deviation properties for linear self-attracting diffusion process and applications0
Preface – Special issue: Random dynamics0
On the induced measure-theoretic entropy for random dynamical systems0
Dynamics of a multi-species lottery competition model in stochastic environments0
An example of intrinsic randomness in deterministic PDES0
Limiting behavior of FitzHugh–Nagumo equations driven by colored noise on unbounded thin domains0
Dynamical behaviors of an impulsive stochastic neural field lattice model0
Boundary entropy spectra as finite subsums0
Functional equations for the stochastic exponential0
On a stochastic nonlocal system with discrete diffusion modeling life tables0
The impact of noise on Burgers equations0
Stochastic Newton equations in the strong potential limit for the multi-dimensional case0
A proof of the additivity of rough integral0
Local linear estimator for fractional diffusions0
The two-barrier escape problem for compound renewal processes with two-sided jumps0
Public private partnerships contract under moral hazard and ambiguous information0
Rolling with random slipping and twisting: A large deviation point of view0
First-order linear Marcus SPDEs0
Existence and concentration of positive solutions to a fractional system with saturable term0
On the rate of convergence of weighted oscillating ergodic averages0
On the weak invariance principle for non-adapted stationary random fields under projective criteria0
Author index Volume 210
Random circular billiards on surfaces of constant curvature: Pseudo integrability and mixing0
A probabilistic numerical method for a class of mean field games0
An optimal estimate for linear reaction subdiffusion equations with Neumann boundary conditions0
Gaussian structure in coalescing stochastic flows0
Nonexistence of observable chaos and its robustness in strongly monotone dynamical systems0
Identifying stochastic governing equations from data of the most probable transition trajectories0
Large Deviation Principle for Backward Stochastic Differential Equations with a Stochastic Lipschitz Condition on z0
On the limit distribution for stochastic differential equations driven by cylindrical non-symmetric α-stable Lévy processes0
Limiting Behavior of Invariant Measures of Stochastic Reaction-Diffusion Equations on Thin Domains0
Remotely almost periodicity for SDEs under the framework of evolution system0
Viability for impulsive stochastic differential inclusions driven by fractional Brownian motion0
The limit behavior of SEIRS model in spatial grid0
Quantum synchronization for stochastic Schrödinger–Lohe model0
Existence of global and explosive mild solutions of fractional reaction–diffusion system of semilinear SPDEs with fractional noise0
Random walk on the Poincaré disk0
Moderate deviations for stochastic Kuramoto–Sivashinsky equation0
Continuity in law for solutions of SPDES with space-time homogeneous Gaussian noise0
Weak mean random attractors for non-local random and stochastic reaction–diffusion equations0
Estimates of constants in the limit theorems for chaotic dynamical systems0
One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems0
A note on weak existence for singular SDEs0
The most likely transition path for a class of distribution-dependent stochastic systems0
Approximations of Lévy processes by integrated fast oscillating Ornstein–Uhlenbeck processes0
A large deviation principle for reflected SPDEs on infinite spatial domain0
Three-dimensional stochastic Navier–Stokes equations with Markov switching0
High order Anderson parabolic model driven by rough noise in space0
Stochastic averaging principle for neutral stochastic functional differential equations driven by G-Lévy process0
Averaging principle for stochastic 3D generalized Navier–Stokes equations0
Obituary0
The probability of events for stochastic parabolic equations0
Asymptotic behavior of stochastic p-Laplacian equations with dynamic boundary conditions0
Mean asymptotic behavior for stochastic Kuramoto–Sivashinshy equation in Bochner spaces0
Continuity and topological structural stability for nonautonomous random attractors0
Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and mostly contracting centers0
The fluctuational transition mechanism of non-hyperbolic chaotic invariant sets0
Invariant measure for 2D stochastic Cahn–Hilliard–Navier–Stokes equations0
Analysis of a microfluidic chemostat model with random dilution ratios0
Nonautonomous attractors and Young measures0
Periodic measures for a class of SPDEs with regime-switching0
Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattice systems with Markovian structure0
Well-posedness of a system of SDEs driven by jump random measures0
Gâteaux type path-dependent PDEs and BSDEs with Gaussian forward processes0
Some perpetual integral functionals of the three-dimensional Bessel process0
Deviation principles of a stochastic Leray-α system with fractional dissipation0
On weak existence of solutions of degenerate McKean–Vlasov equations0
Characterization of stochastic equilibrium controls by the Malliavin calculus0
Convergence problem of reduced Ostrovsky equation in Fourier–Lebesgue spaces with rough data and random data0
Regularity for distribution-dependent SDEs driven by jump processes0
On the liftability of expanding stationary measures0
Forward–backward stochastic differential equations with delay generators0
Talagrand’s quadratic transportation cost inequalities for SPDEs driven by fractional noises with two reflection walls0
An elementary approach to subdiffusion0
The exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Lévy noise0
Quadratic variation and drift parameter estimation for the stochastic wave equation with space-time white noise0
A Monte Carlo algorithm for multiple stochastic integrals of stable processes0
Stability and stabilization of large-scale distribution-dependent SDEs0
Entropy formulae on Feldman–Katok metric of random dynamical systems0
Exponential stability of stochastic systems: A pathwise approach0
Stochastic differential equations with Hölder–Dini drift and driven by α-stable processes0
Discrete-time approximation for backward stochastic differential equations driven by G-Brownian motion0
Stable large deviations for deterministic dynamical systems0
Preface: Thermodynamic Formalism — Applications to Geometry, Number Theory and Stochastics0
Stochastic averaging for a completely integrable Hamiltonian system with fractional Brownian motion0
Well-posedness of stochastic variational inequalities with discontinuous drifts0
Labeled partitions in action: Recombination, selection, mutation and more0
Large deviations for Hamiltonian systems on intermediate time scales0
Singular limits for stochastic equations0
Reflected stochastic differential equations driven by standard and fractional Brownian motion0
Rate of convergence for the Smoluchowski–Kramers approximation for distribution-dependent SDEs driven by fractional Brownian motions0
Large deviation limits of invariant measures0
A note on the G-Itô Formula and a comment on “Averaging Principle for SDEs of Neutral Type Driven by G-Brownian Motion”0
Climate change for global warming 1.5∘C under the influence of multiplicative Gaussian noise0
Global solution to non-self-adjoint stochastic Volterra equation0
Asymptotic behavior of maximum likelihood estimators for Ornstein–Uhlenbeck process with large linear drift0
Large deviations for Lévy diffusions in the small noise regime0
Smoothness of invariant manifolds for stochastic evolution equations with non-dense domain0
Doubly reflected BSDEs driven by RCLL martingales under stochastic Lipschitz coefficient0
Reflected BSDEs driven by G-Brownian motion with time-varying Lipschitz coefficients0
Binary robustness of random attractors for 2D-Ginzburg–Landau equations with Wong–Zakai noise0
Asymptotic pressure on some self-similar trees0
The most probable transition pathway of a predator–prey system under noise0
Limit theorems for a stable sausage0
Martingale solutions to a stochastic smectic-A liquid crystal model with multiplicative noise of jump type0
Convergence of nonlinear filtering for multiscale systems with correlated Lévy noises0
Author index Volume 230
Numerical methods for fractional Fokker–Planck equation with multiplicative Marcus Lévy noises0
A stochastic Sir epidemic evolution model with non-concave force of infection: Mathematical modeling and analysis0
Stochastic 2D rotating Euler flows with bounded vorticity or white noise initial conditions0
Space-time fractional Anderson model driven by Gaussian noise rough in space0
Dynamics of a stochastic phytoplankton–zooplankton system with defensive and offensive effects0
Preface0
Average preserving variation processes in view of optimization0
Second-order McKean–Vlasov stochastic evolution equation driven by Poisson jumps: Existence, uniqueness and averaging principle0
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