33 citations · 55 across the 9 of their papers we have counts for
9 papers
Population dynamics under demographic and environmental stochasticity
Alexandru Hening, Weiwei Qi, Zhongwei Shen +1
The present paper is devoted to the study of the long term dynamics of diffusion processes modelling a single species that experiences both demographic and environmental stochastic…
Quasi-stationary distributions of multi-dimensional diffusion processes
Alexandru Hening, Weiwei Qi, Zhongwei Shen +1
The present paper is devoted to the investigation of the long term behavior of a class of singular multi-dimensional diffusion processes that get absorbed in finite time with proba…
Intermittent Synchronization in finite-state random networks under Markov Perturbations
Arno Berger, Hong Qian, Shirou Wang +1
By introducing extrinsic noise as well as intrinsic uncertainty into a network with stochastic events, this paper studies the dynamics of the resulting Markov random network and ch…
Synchronization in discrete-time, discrete-state Random Dynamical Systems
Wen Huang, Hong Qian, Shirou Wang +2
We characterize synchronization phenomenon in discrete-time, discrete-state random dynamical systems, with random and probabilistic Boolean networks as particular examples. In term…
Concentration and limit behaviors of stationary measures
Wen Huang, Min Ji, Zhenxin Liu +1
In this paper, we study limit behaviors of stationary measures of the Fokker-Planck equations associated with a system of ordinary differential equations perturbed by a class of mu…
Systematic Measures of Biological Networks, Part II: Degeneracy, Complexity and Robustness
Yao Li, Yingfei Yi
This paper is Part II of a two-part series devoting to the study of systematic measures in a complex bio-network modeled by a system of ordinary differential equations. In this par…
Systematic Measures of Biological Networks, Part I: Invariant measures and Entropy
Yao Li, Yingfei Yi
This paper is Part I of a two-part series devoting to the study of systematic measures in a complex biological network modeled by a system of ordinary differential equations. As th…
Asymptotic pairs, stable sets and chaos in positive entropy systems
Wen Huang, Leiye Xu, Yingfei Yi
We consider positive entropy -systems for certain countable, discrete, infinite left-orderable amenable groups . By undertaking local analysis, the existence of asymptotic pa…
Integral identity and measure estimates for stationary Fokker-Planck equations
Wen Huang, Min Ji, Zhenxin Liu +1
We consider a Fokker-Planck equation in a general domain in with drift term and diffusion term for any . By deri…