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 2020-03-01 to 2024-03-01.)
ArticleCitations
C∞− regularization of ODEs perturbed by noise17
Extended backward stochastic Volterra integral equations, Quasilinear parabolic equations, and Feynman–Kac formula14
Dynamics of cholera epidemic models in fluctuating environments13
Limit measures and ergodicity of fractional stochastic reaction–diffusion equations on unbounded domains12
On nonlinear Feynman–Kac formulas for viscosity solutions of semilinear parabolic partial differential equations12
A logistic-harvest model with allee effect under multiplicative noise9
A scaling limit for the stochastic mSQG equations with multiplicative transport noises9
Optimal index and averaging principle for Itô–Doob stochastic fractional differential equations6
An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise6
Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations6
Stochastic turbulence for Burgers equation driven by cylindrical Lévy process6
Typical dynamics and fluctuation analysis of slow–fast systems driven by fractional Brownian motion6
Mean exit time and escape probability for the stochastic logistic growth model with multiplicative α-stable Lévy noise5
Strong rates of convergence of space-time discretization schemes for the 2D Navier–Stokes equations with additive noise5
Hyperviscous stochastic Navier–Stokes equations with white noise invariant measure5
Averaging principle for impulsive stochastic partial differential equations5
On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion5
Large deviation for two-time-scale stochastic burgers equation5
Global solutions for semilinear rough partial differential equations4
Wong–Zakai approximations of second-order stochastic lattice systems driven by additive white noise4
On some properties of sticky Brownian motion3
Synchronization for KPZ3
Weak pullback mean random attractors for stochastic evolution equations and applications3
Asymptotic expansion for the quadratic variations of the solution to the heat equation with additive white noise3
Dynamics of drainage under stochastic rainfall in river networks3
Volterra equations driven by rough signals 2: Higher-order expansions3
Three variations on a theme by Fibonacci3
Rate of homogenization for fully-coupled McKean–Vlasov SDEs3
Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces3
Almost periodicity and periodicity for nonautonomous random dynamical systems3
Higher-dimensional open quantum walk in environment of quantum Bernoulli noises3
Necessary and sufficient condition for ℳ2-convergence to a Lévy process for billiards with cusps at flat points3
Decay of correlation rate in the mean field limit of point vortices ensembles3
The Kramers problem for SDEs driven by small, accelerated Lévy noise with exponentially light jumps3
Weak well-posedness of multidimensional stable driven SDEs in the critical case3
Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems3
Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality2
Cramér-type moderate deviations for the likelihood ratio process of Ornstein–Uhlenbeck process with shift2
Generalized heredity in ℬ-free systems2
Synchronization by noise for the stochastic quantization equation in dimensions 2 and 32
Quantum Feller semigroup in terms of quantum Bernoulli noises2
On the macroscopic limit of Brownian particles with local interaction2
Randomly switched vector fields sharing a zero on a common invariant face2
Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise2
Arcsine and Darling–Kac laws for piecewise linear random interval maps2
Physical measures of asymptotically autonomous dynamical systems2
Global solution of nonlinear stochastic heat equation with solutions in a Hilbert manifold2
The multi-transitivity of free semigroup actions2
Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter2
Regularized vortex approximation for 2D Euler equations with transport noise2
Mild stochastic sewing lemma, SPDE in random environment, and fractional averaging2
Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains2
On the existence of a σ-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part2
Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation2
Reflected BSDEs when the obstacle is predictable and nonlinear optimal stopping problem2
Uniform attractors for a class of stochastic evolution equations with multiplicative fractional noise2
Wong–Zakai approximations and limiting dynamics of stochastic Ginzburg–Landau equations2
Mean-field backward–forward stochastic differential equations and nonzero sum stochastic differential games2
Reflected and doubly reflected BSDEs driven by RCLL martingales2
First passage time and mean exit time for switching Brownian motion2
The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise1
On the joint continuity of topological pressures for sub-additive singular-valued potentials1
Representation of solutions to sticky stochastic differential equations1
Penalization for a PDE with a nonlinear Neumann boundary condition and measurable coefficients1
Large deviation principles for a 2D stochastic Allen–Cahn–Navier–Stokes driven by jump noise1
Higher order asymptotics for large deviations — Part II1
Spatial dynamics in interacting systems with discontinuous coefficients and their continuum limits1
Kolmogorov bounds in the CLT of the LSE for Gaussian Ornstein Uhlenbeck processes1
Regularization of differential equations by two fractional noises1
Existence of solutions for mean-field integrodifferential equations with delay1
Limit theorems for numbers of returns in arrays under ϕ-mixing1
Exponential ergodicity for a stochastic two-layer quasi-geostrophic model1
Approximation of solutions of mean-field stochastic differential equations1
Attractors with higher-order regularity of stochastic reaction–diffusion equations on time-varying domains1
Functional limit theorems for power series with rapid decay of moving averages of Hermite processes1
Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model1
A two-dimensional stochastic fractional non-local diffusion lattice model with delays1
Locally Lipschitz BSDE with jumps and related Kolmogorov equation1
Invariant measures and boundedness in the mean for stochastic equations driven by Lévy noise1
Reflected stochastic partial differential equations with jumps1
Attractors for multi-valued lattice dynamical systems with nonlinear diffusion terms1
Some characterizations for the CIR model with Markov switching1
Weak mean random attractors for nonautonomous stochastic parabolic equation with variable exponents1
Stochastic rotating waves1
Sensitivity of steady states in a degenerately damped stochastic Lorenz system1
Existence of densities for stochastic evolution equations driven by fractional Brownian motion1
Internet congestion control: From stochastic to dynamical models1
Renormalized Onsager functions and merging of vortex clusters1
The β-Delaunay tessellation IV: Mixing properties and central limit theorems1
Invariant measures for random expanding on average Saussol maps1
Splitting-up scheme for the stochastic Cahn–Hilliard Navier–Stokes model1
Analysis of a new stochastic Gompertz diffusion model for untreated human glioblastomas1
Maximum likelihood estimation for symmetric α-stable Ornstein–Uhlenbeck processes1
Stochastic n-point D-bifurcations of stochastic Lévy flows and their complexity on finite spaces1
Flocking dynamics of a coupled system in noisy environments1
Attractors of deterministic and random lattice difference equations1
Controllability for impulsive neutral stochastic delay partial differential equations driven by fBm and Lévy noise1
Unique equilibrium states for some intermediate beta transformations1
Distribution-dependent stochastic porous media equations1
A multifractal analysis for cuspidal windings on hyperbolic surfaces1
Central exponents of linear stochastic differential-algebraic equations of index 11
Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and mostly contracting centers0
Smoothness of invariant manifolds for stochastic evolution equations with non-dense domain0
Preface0
Stochastic dynamics and data science0
Regularity for distribution-dependent SDEs driven by jump processes0
On a stochastic nonlocal system with discrete diffusion modeling life tables0
A stochastic Sir epidemic evolution model with non-concave force of infection: Mathematical modeling and analysis0
Identifying stochastic governing equations from data of the most probable transition trajectories0
Author index Volume 220
General fully coupled FBSDES involving the value function and related nonlocal HJB equations combined with algebraic equations0
Existence and concentration of positive solutions to a fractional system with saturable term0
Continuity and topological structural stability for nonautonomous random attractors0
Attractors for 2D quasi-geostrophic equations with and without colored noise in W2α−,p(ℝ2)0
Large deviations for Hamiltonian systems on intermediate time scales0
A result on the Laplace transform associated with the sticky Brownian motion on an interval0
Periodic measures for a class of SPDEs with regime-switching0
A large deviation principle for reflected SPDEs on infinite spatial domain0
Nonautonomous attractors and Young measures0
Data-driven method to extract mean exit time and escape probability for dynamical systems driven by Lévy noises0
Unstable manifolds for rough evolution equations0
Stochastic Newton equations in the strong potential limit for the multi-dimensional case0
Small perturbations may change the sign of Lyapunov exponents for linear SDEs0
The probability of events for stochastic parabolic equations0
Deviation properties for linear self-attracting diffusion process and applications0
Forward–backward stochastic differential equations with delay generators0
An approximate approach to fuzzy stochastic differential equations under sub-fractional Brownian motion0
Invariant measure for 2D stochastic Cahn–Hilliard–Navier–Stokes equations0
Predictive sets0
Preface for the Second Volume of the Special Issue Dedicated to the 65th Birthday of Björn Schmalfuß0
On the rate of convergence of weighted oscillating ergodic averages0
The non-Lipschitz stochastic Cahn–Hilliard–Navier–Stokes equations in two space dimensions0
The limit behavior of SEIRS model in spatial grid0
Author index Volume 210
Deviation and concentration inequalities for dynamical systems with subexponential decay of correlations0
Author index Volume 200
Ergodicity of exclusion semigroups constructed from quantum Bernoulli noises0
Local zero-stability of rough evolution equations0
Global well-posedness for the nonlinear generalized parabolic Anderson model equation0
A Monte Carlo algorithm for multiple stochastic integrals of stable processes0
Intermittency phenomena for mass distributions of stochastic flows with interaction0
The asymptotic behavior of solutions for stochastic evolution equations with pantograph delay0
Limiting behavior of FitzHugh–Nagumo equations driven by colored noise on unbounded thin domains0
On the coercivity condition in the learning of interacting particle systems0
On the induced measure-theoretic entropy for random dynamical systems0
Quadratic BSDEs with mean reflection driven by G-brownian motion0
Convergence of nonlinear filtering for multiscale systems with correlated Lévy noises0
Approximation for a generalized Langevin equation with high oscillation in time and space0
Functional equations for the stochastic exponential0
The most likely transition path for a class of distribution-dependent stochastic systems0
On generalized compensation functions for factor maps between shift spaces on countable alphabets0
Mean asymptotic behavior for stochastic Kuramoto–Sivashinshy equation in Bochner spaces0
Gâteaux type path-dependent PDEs and BSDEs with Gaussian forward processes0
On the geometric ergodicity for a generalized IFS with probabilities0
LaSalle-type stationary oscillation principle for stochastic affine periodic systems0
On the stability of mean-field stochastic differential equations with irregular expectation functional0
The exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Lévy noise0
Martingale solutions to a stochastic smectic-A liquid crystal model with multiplicative noise of jump type0
High order Anderson parabolic model driven by rough noise in space0
Homeomorphism flows for SDEs driven by G-Brownian motion with non-Lipschitz coefficients0
Space-time fractional Anderson model driven by Gaussian noise rough in space0
First-order linear Marcus SPDEs0
On the limit distribution for stochastic differential equations driven by cylindrical non-symmetric α-stable Lévy processes0
Author index Volume 230
Deviation principles of a stochastic Leray-α system with fractional dissipation0
Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattice systems with Markovian structure0
Quenched limit theorems for expanding on average cocycles0
Stochastic 2D rotating Euler flows with bounded vorticity or white noise initial conditions0
Asymptotic pressure on some self-similar trees0
Obituary0
On a question of H. A. Schwarz0
Some perpetual integral functionals of the three-dimensional Bessel process0
Well-posedness of a system of SDEs driven by jump random measures0
The perfection of local semi-flows and local random dynamical systems with applications to SDEs0
Exponential stability of stochastic systems: A pathwise approach0
Convergence problem of reduced Ostrovsky equation in Fourier–Lebesgue spaces with rough data and random data0
Talagrand’s quadratic transportation cost inequalities for SPDEs driven by fractional noises with two reflection walls0
Preface: Thermodynamic Formalism — Applications to Geometry, Number Theory and Stochastics0
On the liftability of expanding stationary measures0
Global solution to non-self-adjoint stochastic Volterra equation0
Density of nonzero exponent of contraction for pinching cocycles in Hom(S1)0
One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems0
Preface for the Special Issue in Memory of María J. Garrido-Atienza0
Least squares estimator for stochastic differential equations driven by small fractional Lévy noises from discrete observations0
Entropy estimates for uniform attractors of 2D Navier–Stokes equations with weakly normal measures0
Three-dimensional stochastic Navier–Stokes equations with Markov switching0
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
An optimal estimate for linear reaction subdiffusion equations with Neumann boundary conditions0
The identification problem for BSDEs driven by possibly non-quasi-left-continuous random measures0
Singular limits for stochastic equations0
On the weak invariance principle for non-adapted stationary random fields under projective criteria0
Dynamics of a multi-species lottery competition model in stochastic environments0
Analysis of a microfluidic chemostat model with random dilution ratios0
Climate change for global warming 1.5∘C under the influence of multiplicative Gaussian noise0
Preface0
Stochastic averaging for a completely integrable Hamiltonian system with fractional Brownian motion0
Existence and uniqueness of global solutions to the stochastic heat equation with superlinear drift on an unbounded spatial domain0
An example of intrinsic randomness in deterministic PDES0
A non-conservation stochastic partial differential equation driven by anisotropic fractional Lévy random field0
Moderate deviations for stochastic Kuramoto–Sivashinsky equation0
Typical properties of ergodic optimization for asymptotically additive potentials0
Remotely almost periodicity for SDEs under the framework of evolution system0
Limit theorems for a stable sausage0
Strong solutions and asymptotic behavior of bidomain equations with random noise0
Public private partnerships contract under moral hazard and ambiguous information0
Results on approximate controllability for fractional stochastic delay differential systems of order r ∈ (1,2)0
Uniformity of singular value exponents for typical cocycles0
Dynamics of a stochastic phytoplankton–zooplankton system with defensive and offensive effects0
Preface – Special issue: Random dynamics0
Asymptotic behavior of maximum likelihood estimators for Ornstein–Uhlenbeck process with large linear drift0
Gaussian structure in coalescing stochastic flows0
The two-barrier escape problem for compound renewal processes with two-sided jumps0
Boundary entropy spectra as finite subsums0
Characterization of stochastic equilibrium controls by the Malliavin calculus0
Quadratic variation and drift parameter estimation for the stochastic wave equation with space-time white noise0
Average preserving variation processes in view of optimization0
A probabilistic numerical method for a class of mean field games0
Stochastic elliptic–parabolic system arising in porous media0
Bohl–Perron theorem for random dynamical systems0
Approximations of Lévy processes by integrated fast oscillating Ornstein–Uhlenbeck processes0
On the spectral radius of compact operator cocycles0
Preface0
An elementary approach to subdiffusion0
Infinite horizon multi-dimensional BSDE with oblique reflection and switching problem0
Nonexistence of observable chaos and its robustness in strongly monotone dynamical systems0
Large deviation limits of invariant measures0
The impact of noise on Burgers equations0
An optimal control problem for a linear SPDE driven by a multiplicative multifractional Brownian motion0
Fair measures for countable-to-one maps0
Large deviations for Lévy diffusions in the small noise regime0
Uniform large deviations of fractional stochastic equations with polynomial drift on unbounded domains0
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