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 2022-01-01 to 2026-01-01.)
ArticleCitations
Singular limits for stochastic equations15
Discrete-time approximation for backward stochastic differential equations driven by G-Brownian motion10
On the topological pressure of axial product on trees8
Exponential ergodicity for a stochastic two-layer quasi-geostrophic model7
Numerical methods for fractional Fokker–Planck equation with multiplicative Marcus Lévy noises7
A proof of the additivity of rough integral6
Identifying stochastic governing equations from data of the most probable transition trajectories6
Stability and stabilization of large-scale distribution-dependent SDEs6
Random invariant densities for markov operator cocycles and random mean ergodic theorem5
On the rate of convergence of weighted oscillating ergodic averages5
Averaging principle for McKean–Vlasov SDEs with Lévy noise and Hölder coefficients5
The impact of noise on Burgers equations5
Quadratic variation for the solution of the nonlinear stochastic wave equation4
Entropy formulae on Feldman–Katok metric of random dynamical systems4
Quantum synchronization for stochastic Schrödinger–Lohe model4
Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter4
Distribution-dependent stochastic porous media equations4
Well-posedness and invariant measures for second-order stochastic lattice systems with superlinear diffusion terms4
Random self-similar series over a rotation4
Stochastic Newton equations in the strong potential limit for the multi-dimensional case3
Quasi-compactness of Frobenius–Perron operator for piecewise expanding C1+???? maps of an interval3
The fluctuational transition mechanism of non-hyperbolic chaotic invariant sets3
C0,1-Itô chain rules and generalized solutions of parabolic PDEs3
Mean-field BSDEs with weak monotonicity and general growth generators3
A large deviation principle for reflected SPDEs on infinite spatial domain3
Dynamics of a stochastic phytoplankton–zooplankton system with defensive and offensive effects3
Optimal index and averaging principle for Itô–Doob stochastic fractional differential equations3
Locally Lipschitz BSDE with jumps and related Kolmogorov equation3
Geometric ergodicity of SGLD via reflection coupling3
Deviation properties for linear self-attracting diffusion process and applications3
Stability of traveling wave solutions to reaction–diffusion equations driven by additive noise with Hölder continuous paths3
Asymptotic behavior of stochastic p-Laplacian equations with dynamic boundary conditions3
The most probable transition pathway of a predator–prey system under noise3
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
Reflected stochastic differential equations driven by standard and fractional Brownian motion2
Data-driven discovery of slow–fast stochastic differential equations with data binning and sparse bayesian strategy2
An example of intrinsic randomness in deterministic PDES2
Semicontinuous evolution systems of enlarged measures for superlinear stochastic porous media lattice equations2
Rolling with random slipping and twisting: A large deviation point of view2
Averaging principle for stochastic 3D generalized Navier–Stokes equations2
Weak solutions and invariant measures for some class of SPDE’s2
Quadratic variation and drift parameter estimation for the stochastic wave equation with space-time white noise2
Infinite horizon multi-dimensional BSDE with oblique reflection and switching problem2
Nonuniform dependence for high-dimensional modified Euler–Poincaré system with multiplicative noises2
Probability of transition to turbulence in a reduced stochastic model of pipe flow2
Uniform large deviation principles of fractional reaction–diffusion equations driven by superlinear multiplicative noise on ℝn2
Strong solutions and asymptotic behavior of bidomain equations with random noise2
Reflected BSDEs driven by G-Brownian motion with time-varying Lipschitz coefficients2
Well-posedness of a system of SDEs driven by jump random measures2
Remotely almost periodicity for SDEs under the framework of evolution system2
On the coercivity condition in the learning of interacting particle systems1
Mixing properties of a class of nonuniformly expanding maps — Application to Hölderian invariance principles1
Parametrized families of Gibbs measures and their statistical inference1
Quenched limit theorems for expanding on average cocycles1
Space-time fractional Anderson model driven by Gaussian noise rough in space1
Uniqueness and statistical properties of the Gibbs state on general one-dimensional lattice systems with Markovian structure1
First passage time and mean exit time for switching Brownian motion1
Reflected BSDES driven by G-brownian motion with non-Lipschitz coefficients1
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
Author index Volume 241
Effective dynamics of interfaces for nonlinear SPDEs driven by multiplicative white noise1
Average preserving variation processes in view of optimization1
Regularization of differential equations by two fractional noises1
Doubly reflected BSDEs driven by RCLL martingales under stochastic Lipschitz coefficient1
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
Global well-posedness for the nonlinear generalized parabolic Anderson model equation1
Rate of convergence for the Smoluchowski–Kramers approximation for distribution-dependent SDEs driven by fractional Brownian motions1
Continuity in law for solutions of SPDES with space-time homogeneous Gaussian noise1
Stability analysis of a stochastic discrete pest-natural enemy model with integrated pest management strategy1
Berry–Esséen bound for complex Wiener–Itô integral1
Weak mean random attractors for nonautonomous stochastic parabolic equation with variable exponents1
Global solutions for semilinear rough partial differential equations1
Large deviation principle for stochastic slow–fast system with nonlinear multiplicative fractional Brownian motion1
Large deviations for Hamiltonian systems on intermediate time scales1
Local zero-stability of rough evolution equations1
The asymptotic behavior of solutions for stochastic evolution equations with pantograph delay1
Entropy estimates for uniform attractors of 2D Navier–Stokes equations with weakly normal measures1
Preface – Special issue: Random dynamics1
Limit theorems for Cox–Ingersoll–Ross process with externally and self-exciting jumps and application to finance1
Analysis of a new stochastic Gompertz diffusion model for untreated human glioblastomas1
On weak existence of solutions of degenerate McKean–Vlasov equations1
Three-dimensional stochastic Navier–Stokes equations with Markov switching1
Kolmogorov bounds in the CLT of the LSE for Gaussian Ornstein Uhlenbeck processes1
An optimal estimate for linear reaction subdiffusion equations with Neumann boundary conditions1
Stochastic averaging for a completely integrable Hamiltonian system with fractional Brownian motion1
A note on weak existence for singular SDEs1
Physical measures of asymptotically autonomous dynamical systems1
C1-convergence of unstable foliations of stochastic evolution equations on thin domain1
Almost sure diffusion approximation in averaging: Direct proofs with rough paths flavors0
Stable large deviations for deterministic dynamical systems0
On Carathéodory approximate scheme for a class of one-dimensional doubly perturbed diffusion processes0
Representation of solutions to sticky stochastic differential equations0
Random dynamics of stochastic retarded parabolic equations with multiplicative noise on ℝN0
Estimates of constants in the limit theorems for chaotic dynamical systems0
Small perturbations may change the sign of Lyapunov exponents for linear SDEs0
Stochastic 2D rotating Euler flows with bounded vorticity or white noise initial conditions0
Random walk on the Poincaré disk0
Invariant submanifolds for solutions to rough differential equations0
An approximate approach to fuzzy stochastic differential equations under sub-fractional Brownian motion0
The β-Delaunay tessellation IV: Mixing properties and central limit theorems0
The most likely transition path for a class of distribution-dependent stochastic systems0
Second-order McKean–Vlasov stochastic evolution equation driven by Poisson jumps: Existence, uniqueness and averaging principle0
On a stochastic nonlocal system with discrete diffusion modeling life tables0
Analysis of a microfluidic chemostat model with random dilution ratios0
Ergodicity of exclusion semigroups constructed from quantum Bernoulli noises0
Mean-field equilibrium price formation with exponential utility0
Stochastic differential equations with respect to optional semimartingales and two reflecting regulated barriers0
Stochastic rotating waves0
On the induced measure-theoretic entropy for random dynamical systems0
Bohl–Perron theorem for random dynamical systems0
Some perpetual integral functionals of the three-dimensional Bessel process0
Continuity of weak pullback mean random attractors for non-autonomous stochastic wave equations0
Functional equations for the stochastic exponential0
The perfection of local semi-flows and local random dynamical systems with applications to SDEs0
Volterra equations driven by rough signals 2: Higher-order expansions0
Exponential dichotomy for dynamically defined matrix-valued Jacobi operators0
Stationary solutions and invariant measures for SDEs driven by Lévy processes with Markovian switching0
Strong rates of convergence of space-time discretization schemes for the 2D Navier–Stokes equations with additive noise0
Mild stochastic sewing lemma, SPDE in random environment, and fractional averaging0
Preface for the Special Issue in Memory of María J. Garrido-Atienza0
Stochastic elliptic–parabolic system arising in porous media0
Maxitive monetary risk measures: Worst-case risk assessment and sharp large deviations0
Stochastic stability for partially hyperbolic diffeomorphisms with mostly expanding and mostly contracting centers0
Quadratic BSDEs with mean reflection driven by G-brownian motion0
Invariant measure for 2D stochastic Cahn–Hilliard–Navier–Stokes equations0
Approximation for a generalized Langevin equation with high oscillation in time and space0
Labeled partitions in action: Recombination, selection, mutation and more0
Periodic measures for a class of SPDEs with regime-switching0
Weak mean attractors, ergodicity and large deviation principle of stochastic Klein–Gordon–Schrödinger lattice systems0
Moderate deviations for a stochastic Schrödinger equation with linear drift0
Arcsine and Darling–Kac laws for piecewise linear random interval maps0
Forward–backward stochastic differential equations with delay generators0
Spreading speeds of random KPP equations with nonlocal diffusion0
Deviation principles of a stochastic Leray-α system with fractional dissipation0
Viability for impulsive stochastic differential inclusions driven by fractional Brownian motion0
Author index Volume 220
Uniform Large Deviation Principle for Slow-Fast McKean-Vlasov Equations0
Invariant manifolds for random parabolic evolution equations with almost sectorial operators0
Data-driven method to extract mean exit time and escape probability for dynamical systems driven by Lévy noises0
Large deviation principle for a 2D liquid crystal model with multiplicative noise0
Central exponents of linear stochastic differential-algebraic equations of index 10
Delay-dependent criteria on periodicity of stochastic neural networks with variable coefficients and delays0
Invariant measures and boundedness in the mean for stochastic equations driven by Lévy noise0
Large deviation limits of invariant measures0
Uniform large deviations of fractional stochastic equations with polynomial drift on unbounded domains0
Random circular billiards on surfaces of constant curvature: Pseudo integrability and mixing0
On random batch methods (RBM) for interacting particle systems driven by Lévy processes0
Large deviation principle for backward stochastic differential equations with a stochastic Lipschitz condition on z0
Linear multiplicative noise destroys a two-dimensional attractive compact manifold of three-dimensional Kolmogorov systems0
Simple bounds on the most predictable component of a stochastic model0
Existence and concentration of positive solutions to a fractional system with saturable term0
The two-barrier escape problem for compound renewal processes with two-sided jumps0
Preface for the Second Volume of the Special Issue Dedicated to the 65th Birthday of Björn Schmalfuß0
A two-dimensional stochastic fractional non-local diffusion lattice model with delays0
A Monte Carlo algorithm for multiple stochastic integrals of stable processes0
Dynamical Systems Framework for Modeling COVID-19 with Lévy Noise0
Stochastic dynamics and data science0
A stochastic Sir epidemic evolution model with non-concave force of infection: Mathematical modeling and analysis0
Smoothness of invariant manifolds for stochastic evolution equations with non-dense domain0
Geodesics and dynamical information projections on the manifold of Hölder equilibrium probabilities0
Conditional McKean–Vlasov differential equations with common poissonian noise: Propagation of chaos0
Poisson stability of solutions for stochastic evolution equations driven by fractional Brownian motion0
Global solution to non-self-adjoint stochastic Volterra equation0
Density of nonzero exponent of contraction for pinching cocycles in Hom(S1)0
Stochastic n-point D-bifurcations of stochastic Lévy flows and their complexity on finite spaces0
Existence of global and explosive mild solutions of fractional reaction–diffusion system of semilinear SPDEs with fractional noise0
Pullback measure attractors for nonautonomous stochastic lattice reversible Selkov systems0
Dynamics of a multi-species lottery competition model in stochastic environments0
Preface0
Holonomies for foliations with extreme disintegration behavior0
Stability, uniqueness and existence of solutions to McKean–Vlasov SDEs: a multidimensional Yamada–Watanabe approach0
The probability of events for stochastic parabolic equations0
Continuity and topological structural stability for nonautonomous random attractors0
A note on the G-Itô Formula and a comment on “Averaging Principle for SDEs of Neutral Type Driven by G-Brownian Motion”0
First-order linear Marcus SPDEs0
Moderate deviations for stochastic Kuramoto–Sivashinsky equation0
Weak mean random attractors for non-local random and stochastic reaction–diffusion equations0
Asymptotic behavior of maximum likelihood estimators for Ornstein–Uhlenbeck process with large linear drift0
Large deviation for slow-fast McKean–Vlasov stochastic differential equations driven by fractional Brownian motions and Brownian motions0
Uniformity of singular value exponents for typical cocycles0
Uniform large deviations for stochastic 2D primitive equations driven by multiplicative noise0
Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise0
Uniform-in-time bounds for a stochastic hybrid system with fast periodic sampling and small white-noise0
An optimal control problem for a linear SPDE driven by a multiplicative multifractional Brownian motion0
Reconstruction and Prediction of Volterra Integral Equations Driven by Gaussian Noise0
Limiting behavior of FitzHugh–Nagumo equations driven by colored noise on unbounded thin domains0
Dynamics and probability density function of a stochastic COVID-19 epidemic model with nonlinear incidence0
LaSalle-type stationary oscillation principle for stochastic affine periodic systems0
Wrapped processes on circular lattices for planar directions0
Mild solutions to time-fractional stochastic semi-linear wave equations0
Large deviations of homological growth rates for hyperbolic surfaces0
Practical stability analysis of stochastic perturbed linear time-varying systems via integral inequality0
Small time asymptotics for a class of stochastic partial differential equations with fully monotone coefficients forced by multiplicative Gaussian noise0
The exponential behavior and stability of the stochastic three-dimensional primitive equations driven by Lévy noise0
Mean asymptotic behavior for stochastic Kuramoto–Sivashinshy equation in Bochner spaces0
Typical properties of ergodic optimization for asymptotically additive potentials0
On the limit distribution for stochastic differential equations driven by cylindrical non-symmetric α-stable Lévy processes0
Author index Volume 230
Asymptotic Log-Harnack inequality for the 2D Ericksen–Leslie model system with degenerate noise and damping0
Local linear estimator for fractional diffusions0
Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model0
Decomposition of discontinuous flows of diffeomorphisms: jumpings, geometrical and topological aspects0
Public private partnerships contract under moral hazard and ambiguous information0
Large deviations of one-hidden-layer neural networks0
Deterministic limit of a density-dependent population model with triangle type nonlocal cross-diffusion0
Dynamical behaviors of an impulsive stochastic neural field lattice model0
Well-posedness of stochastic variational inequalities with discontinuous drifts0
Limiting behavior of invariant measures of stochastic reaction–diffusion equations on thin domains0
Nonexistence of observable chaos and its robustness in strongly monotone dynamical systems0
Convergence of nonlinear filtering for multiscale systems with correlated Lévy noises0
Asymptotic pressure on some self-similar trees0
Deviation and concentration inequalities for dynamical systems with subexponential decay of correlations0
Existence of solutions for mean-field integrodifferential equations with delay0
Preface0
Attractors of deterministic and random lattice difference equations0
Rate of homogenization for fully-coupled McKean–Vlasov SDEs0
Exponential stability of stochastic systems: A pathwise approach0
Stochastic differential equations with Hölder–Dini drift and driven by α-stable processes0
One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems0
Climate change for global warming 1.5∘C under the influence of multiplicative Gaussian noise0
Large deviations for Lévy diffusions in the small noise regime0
Binary robustness of random attractors for 2D-Ginzburg–Landau equations with Wong–Zakai noise0
Gaussian structure in coalescing stochastic flows0
Results on approximate controllability for fractional stochastic delay differential systems of order r ∈ (1,2)0
Strong solutions of SDEs with singular (form-bounded) drift via Röckner–Zhao approach0
From Loewner-captive Hermitian diffusions to risk-captive efficient frontiers0
Comparison of classical and path-by-path solutions to SDEs0
The limit behavior of SEIRS model in spatial grid0
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