Distribution of Statistical Observables for Anomalous and Nonergodic Diffusions

Weihua Deng is a professor of mathematics and statistical physics at Lanzhou University, China. His research interests include scientific computation and numerical analysis, statistical physics and stochastic simulations, nonlinear dynamics and anomalous diffusion, nonlocal PDE and stochastic representation, artificial intelligence and big data. Xudong Wang is a faculty member in the School of Science at Nanjing University of Science and Technology, China. His research focuses on stochastic processes, and stochastic modeling, as well as non-equilibrium statistical physics and his recent research interests include the theory and applications of normal and anomalous stochastic processes, and the stochastic models of intracellular transport. Daxin Nie is a research assistant in the School of Mathematics and Statistics at Lanzhou University, China. His research interests are numerical analyses for all kinds of anomalous diffusion equations. Xing Liu is a faculty member in the School of Mathematics and Economics at Hubei University of Education, China. He focuses on the research of the numerical methods and regularity of stochastic partial differential equation and his recent research interests include stochastic fractional diffusion equations and stochastic wave equation.

1. Statistical Observables 2. Numerical Methods for the Governing Equations of PDF of Statistical Observables 3. Numerical Methods for the Stochastic Governing Equations of PDF of Statistical Observables