Weiwei Qi

Preprints

1. Sub-exponential large deviation principle for stationary distributions and quasi-stationary distributions.
   In preparation. (with Chenchen Mou, Zhongwei Shen and Yingfei Yi)

Submitted

1. Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions.
   Submitted. (with Zhongwei Shen and Yingfei Yi)
2. Population dynamics under demographic and environmental noises.
   Submitted. (with Alex Hening, Zhongwei Shen and Yingfei Yi)
3. Quasi-stationary distributions of multi-dimensional diffusion processes.
   Submitted. (with Alex Hening, Zhongwei Shen and Yingfei Yi)

Published & Accepted

1. Transient dynamics of absorbed singular diffusions.
   Journal of Dynamics and Differential Equations, published online (2021). (with Min Ji, Zhongwei Shen and Yingfei Yi)
2. Convergence to periodic probability solutions in Fokker-Planck equations.
   SIAM Journal on Mathematical Analysis, 53 (2021), no. 2, 1958-1992. (with Min Ji, Zhongwei Shen and Yingfei Yi)
3. Towards mesoscopic ergodic theory.
   Science China Mathematics, 63 (2020) no. 9, 1853-1876. (with Zhongwei Shen, Shirou Wang and Yingfei Yi)
   Special issue in memory of Professor Shantao Liao.
4. Noise-vanishing concentration and limit behaviors of periodic probability solutions.
   Differential Integral Equations, 33 (2020), no. 5-6, 273-322. (with Min Ji, Zhongwei Shen and Yingfei Yi)
5. Existence of periodic probability solutions to Fokker-Planck equations with applications.
   Journal of Functional Analysis, 277 (2019) 108281. (with Min Ji, Zhongwei Shen and Yingfei Yi)