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 2020-04-01 to 2024-04-01.)
ArticleCitations
C∞− regularization of ODEs perturbed by noise18
Dynamics of cholera epidemic models in fluctuating environments13
On nonlinear Feynman–Kac formulas for viscosity solutions of semilinear parabolic partial differential equations12
Limit measures and ergodicity of fractional stochastic reaction–diffusion equations on unbounded domains10
A logistic-harvest model with allee effect under multiplicative noise9
An averaging principle for neutral stochastic fractional order differential equations with variable delays driven by Lévy noise6
Optimal index and averaging principle for Itô–Doob stochastic fractional differential equations6
Hyperviscous stochastic Navier–Stokes equations with white noise invariant measure6
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
Wong–Zakai approximations of second-order stochastic lattice systems driven by additive white noise5
Averaging principle for impulsive stochastic partial differential equations5
Mean exit time and escape probability for the stochastic logistic growth model with multiplicative α-stable Lévy noise5
Large deviation for two-time-scale stochastic burgers equation5
On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion5
Strong rates of convergence of space-time discretization schemes for the 2D Navier–Stokes equations with additive noise5
Three variations on a theme by Fibonacci4
Global solutions for semilinear rough partial differential equations4
Generalized heredity in ℬ-free systems3
The Kramers problem for SDEs driven by small, accelerated Lévy noise with exponentially light jumps3
Almost periodicity and periodicity for nonautonomous random dynamical systems3
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
Weak pullback mean random attractors for stochastic evolution equations and applications3
Weak well-posedness of multidimensional stable driven SDEs in the critical case3
Higher-dimensional open quantum walk in environment of quantum Bernoulli noises3
Unstable entropy and unstable pressure for random partially hyperbolic dynamical systems3
Synchronization for KPZ3
Well-posedness of SVI solutions to singular-degenerate stochastic porous media equations arising in self-organized criticality3
Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces3
Asymptotic expansion for the quadratic variations of the solution to the heat equation with additive white noise3
Volterra equations driven by rough signals 2: Higher-order expansions3
On some properties of sticky Brownian motion3
Rate of homogenization for fully-coupled McKean–Vlasov SDEs3
Global solution of nonlinear stochastic heat equation with solutions in a Hilbert manifold2
Uniform attractors for a class of stochastic evolution equations with multiplicative fractional noise2
Regularized vortex approximation for 2D Euler equations with transport noise2
Amplitude equations for SPDEs driven by fractional additive noise with small hurst parameter2
Randomly switched vector fields sharing a zero on a common invariant face2
First passage time and mean exit time for switching Brownian motion2
Arcsine and Darling–Kac laws for piecewise linear random interval maps2
Cramér-type moderate deviations for the likelihood ratio process of Ornstein–Uhlenbeck process with shift2
Reflected BSDEs when the obstacle is predictable and nonlinear optimal stopping problem2
Quantum Feller semigroup in terms of quantum Bernoulli noises2
Mean-field backward–forward stochastic differential equations and nonzero sum stochastic differential games2
On the macroscopic limit of Brownian particles with local interaction2
Reflected and doubly reflected BSDEs driven by RCLL martingales2
Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise2
Wong–Zakai approximations and attractors for stochastic degenerate parabolic equations on unbounded domains2
Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation2
Synchronization by noise for the stochastic quantization equation in dimensions 2 and 32
Wong–Zakai approximations and limiting dynamics of stochastic Ginzburg–Landau equations2
Sensitivity of steady states in a degenerately damped stochastic Lorenz system2
Mild stochastic sewing lemma, SPDE in random environment, and fractional averaging2
On the existence of a σ-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part2
Physical measures of asymptotically autonomous dynamical systems2
On the joint continuity of topological pressures for sub-additive singular-valued potentials1
Flocking dynamics of a coupled system in noisy environments1
Representation of solutions to sticky stochastic differential equations1
Locally Lipschitz BSDE with jumps and related Kolmogorov equation1
Invariant measures and boundedness in the mean for stochastic equations driven by Lévy noise1
Stochastic n-point D-bifurcations of stochastic Lévy flows and their complexity on finite spaces1
Attractors for multi-valued lattice dynamical systems with nonlinear diffusion terms1
Weak mean random attractors for nonautonomous stochastic parabolic equation with variable exponents1
Distribution-dependent stochastic porous media equations1
The β-Delaunay tessellation IV: Mixing properties and central limit theorems1
Kolmogorov bounds in the CLT of the LSE for Gaussian Ornstein Uhlenbeck processes1
The continuity, regularity and polynomial stability of mild solutions for stochastic 2D-Stokes equations with unbounded delay driven by tempered fractional Gaussian noise1
Stochastic rotating waves1
Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model1
A two-dimensional stochastic fractional non-local diffusion lattice model with delays1
Analysis of a new stochastic Gompertz diffusion model for untreated human glioblastomas1
Maximum likelihood estimation for symmetric α-stable Ornstein–Uhlenbeck processes1
Spatial dynamics in interacting systems with discontinuous coefficients and their continuum limits1
Attractors of deterministic and random lattice difference equations1
Unique equilibrium states for some intermediate beta transformations1
Existence of densities for stochastic evolution equations driven by fractional Brownian motion1
Internet congestion control: From stochastic to dynamical models1
Global well-posedness for the nonlinear generalized parabolic Anderson model equation1
Central exponents of linear stochastic differential-algebraic equations of index 11
Existence of solutions for mean-field integrodifferential equations with delay1
Functional limit theorems for power series with rapid decay of moving averages of Hermite processes1
Some characterizations for the CIR model with Markov switching1
Invariant measures for random expanding on average Saussol maps1
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
Reflected stochastic partial differential equations with jumps1
Regularization of differential equations by two fractional noises1
Limit theorems for numbers of returns in arrays under ϕ-mixing1
Exponential ergodicity for a stochastic two-layer quasi-geostrophic model1
A multifractal analysis for cuspidal windings on hyperbolic surfaces1
LaSalle-type stationary oscillation principle for stochastic affine periodic systems1
Renormalized Onsager functions and merging of vortex clusters1
Controllability for impulsive neutral stochastic delay partial differential equations driven by fBm and Lévy noise1
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