What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Statistics
Jinqiao Duan spends much of his time researching Mathematical analysis, Dynamical systems theory, Statistical physics, Stochastic partial differential equation and Stochastic differential equation.
Jinqiao Duan regularly links together related areas like Nonlinear system in his Mathematical analysis studies.
Jinqiao Duan studied Dynamical systems theory and Domain that intersect with Measure and Type.
His studies deal with areas such as Amplitude, Random dynamical system, Randomness and Brownian motion as well as Statistical physics.
Jinqiao Duan works mostly in the field of Stochastic partial differential equation, limiting it down to topics relating to Continuous-time stochastic process and, in certain cases, Computer simulation.
Stochastic differential equation is a subfield of Applied mathematics that he explores.
His most cited work include:
- Invariant manifolds for stochastic partial differential equations (213 citations)
- An Introduction to Stochastic Dynamics (167 citations)
- Fractional Fokker-Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises (151 citations)
What are the main themes of his work throughout his whole career to date?
Jinqiao Duan mainly investigates Mathematical analysis, Statistical physics, Dynamical systems theory, Applied mathematics and Stochastic differential equation.
His study in Stochastic partial differential equation, Attractor, Partial differential equation, Bounded function and Boundary value problem is carried out as part of his studies in Mathematical analysis.
His research integrates issues of Brownian motion, Gaussian, Gaussian noise and Nonlinear system in his study of Statistical physics.
His research in Dynamical systems theory focuses on subjects like Dimensionality reduction, which are connected to Slow manifold.
Jinqiao Duan has researched Applied mathematics in several fields, including Class, Estimator, Numerical analysis and Estimation theory.
His Stochastic differential equation research incorporates themes from Fokker–Planck equation and Differential equation.
He most often published in these fields:
- Mathematical analysis (42.25%)
- Statistical physics (32.06%)
- Dynamical systems theory (34.82%)
What were the highlights of his more recent work (between 2018-2021)?
- Statistical physics (32.06%)
- Applied mathematics (26.96%)
- Dynamical systems theory (34.82%)
In recent papers he was focusing on the following fields of study:
Jinqiao Duan mainly investigates Statistical physics, Applied mathematics, Dynamical systems theory, Stochastic differential equation and Work.
His Statistical physics research integrates issues from Probability density function, Gaussian noise, Metastability and Brownian motion.
His work carried out in the field of Applied mathematics brings together such families of science as Scheme, Term, Estimator and Fokker–Planck equation.
His biological study spans a wide range of topics, including Dynamical system, Multiplicative function, Levy noise, Nonlinear system and Gaussian.
Jinqiao Duan combines subjects such as Anomalous diffusion, Large deviations theory, Stochastic process, Complex system and Stochastic dynamics with his study of Stochastic differential equation.
His Stochastic partial differential equation research entails a greater understanding of Mathematical analysis.
Between 2018 and 2021, his most popular works were:
- A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations (34 citations)
- A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations (34 citations)
- Most probable dynamics of a genetic regulatory network under stable Lévy noise (18 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Statistics
His main research concerns Applied mathematics, Statistical physics, Dynamical systems theory, Stochastic differential equation and Gaussian.
The Applied mathematics study combines topics in areas such as Scheme, Fokker–Planck equation, Term, Maximum principle and Numerical analysis.
His work in Scheme addresses subjects such as Reaction–diffusion system, which are connected to disciplines such as Nonlinear system.
His Statistical physics research is multidisciplinary, incorporating elements of Jump, Probability density function, Work, Metastability and Gaussian noise.
Jinqiao Duan has included themes like Brownian noise, Isotropy, Bounded function and Levy noise in his Dynamical systems theory study.
His work deals with themes such as Dynamical system, Complex system, Carrying capacity and Differential equation, which intersect with Stochastic differential equation.
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