28 citations · 144 across the 9 of their papers we have counts for
9 papers
Lévy walk dynamics in non-static media
Tian Zhou, Pengbo Xu, Weihua Deng
Almost all the media the particles move in are non-static. Depending on the expected resolution of the studied dynamics and the amplitude of the displacement of the media, sometime…
Gaussian Process and Levy Walk under Stochastic Non-instantaneous Resetting and Stochastic Rest
Tian Zhou, Pengbo Xu, Weihua Deng
A stochastic process with movement, return, and rest phases is considered in this paper. For the movement phase, the particles move following the dynamics of Gaussian process or ba…
Lévy walk dynamics in mixed potentials from the perspective of random walk theory
Tian Zhou, Pengbo Xu, Weihua Deng
Lévy walk process is one of the most effective models to describe superdiffusion, which underlies some important movement patterns and has been widely observed in the micro and mac…
Lévy walk dynamics in an external harmonic potential
Pengbo Xu, Tian Zhou, Ralf Metzler +1
Lévy walks (LWs) are spatiotemporally coupled random-walk processes describing superdiffusive heat conduction in solids, propagation of light in disordered optical materials, motio…
Continuous time random walks and Lévy walks with stochastic resetting
Tian Zhou, Pengbo Xu, Weihua Deng
Intermittent stochastic processes appear in a wide field, such as chemistry, biology, ecology, and computer science. This paper builds up the theory of intermittent continuous time…
Lévy walk revisited: Hermite polynomial expansion approach
Pengbo Xu, Weihua Deng, Trifce Sandev
Integral transform method (Fourier or Laplace transform, etc) is more often effective to do the theoretical analysis for the stochastic processes. However, for the time-space coupl…
Levy walk with multiple internal states
Pengbo Xu, Weihua Deng
Levy walk is a fundamental model with applications ranging from quantum physics to paths of animal foraging. Taking animal foraging as an example, a natural idea that comes to one'…
Models for characterizing the transition among anomalous diffusions with different diffusion exponents
Trifce Sandev, Weihua Deng, Pengbo Xu
Based on the theory of continuous time random walks (CTRW), we build the models of characterizing the transitions among anomalous diffusions with different diffusion exponents, oft…
Fractional compound Poisson processes with multiple internal states
Pengbo Xu, Weihua Deng
For the particles undergoing the anomalous diffusion with different waiting time distributions for different internal states, we derive the Fokker-Planck and Feymann-Kac equations,…