46 citations · 367 across the 22 of their papers we have counts for
6 papers · 1 filter
Langevin dynamics for Lévy walk with memory
Yao Chen, Xudong Wang, Weihua Deng
Memory effects, sometimes, can not be neglected. In the framework of continuous time random walk, memory effect is modeled by the correlated waiting times. In this paper, we derive…
Lévy-walk-like Langevin dynamics
Xudong Wang, Yao Chen, Weihua Deng
Continuous time random walks and Langevin equations are two classes of stochastic models for describing the dynamics of particles in the natural world. While some of the processes…
Tempered fractional Langevin-Brownian motion with inverse -stable subordinator
Yao Chen, Xudong Wang, Weihua Deng
Time-changed stochastic processes have attracted great attention and wide interests due to their extensive applications, especially in financial time series, biology and physics. T…
Feynman-Kac equation revisited
Xudong Wang, Yao Chen, Weihua Deng
Functionals of particles' paths have diverse applications in physics, mathematics, hydrology, economics, and other fields. Under the framework of continuous time random walk (CTRW)…
Nonlocal Diffusion Operators for Normal and Anomalous Dynamics
Weihua Deng, Xudong Wang, Pingwen Zhang
The Laplacian is the infinitesimal generator of isotropic Brownian motion, being the limit process of normal diffusion, while the fractional Laplacian serves as the i…
Resonant behavior of the generalized Langevin system with tempered Mittag-Leffler memory kernel
Yao Chen, Xudong Wang, Weihua Deng
The generalized Langevin equation describes anomalous dynamics. Noise is not only the origin of uncertainty but also plays a positive role in helping to detect signal with informat…