Showing 2018Show all
3 papers · 1 filter
math.DS2018
Mean exit time for stochastic dynamical systems driven by tempered stable Lévy fluctuations
Yanjie Zhang, Xiao Wang, Jinqiao Duan
We use the mean exit time to quantify macroscopic dynamical behaviors of stochastic dynamical systems driven by tempered Lévy fluctuations, which are solutions of nonlocal elliptic…
q-bio.MN2018
Most Probable Evolution Trajectories in a Genetic Regulatory System Excited by Stable Lévy Noise
Xiujun Cheng, Hui Wang, Xiao Wang +2
We study the most probable trajectories of the concentration evolution for the transcription factor activator in a genetic regulation system, with non-Gaussian stable Lévy noise in…
math.DS2018
Fokker-Planck equation driven by asymmetric Lévy motion
Xiao Wang, Wenpeng Shang, Xiaofan Li +2
Non-Gaussian Lévy noises are present in many models for understanding underlining principles of physics, finance, biology and more. In this work, we consider the Fokker-Planck equa…