Weiwei Qi

Preprints

1. Large deviation principle for stationary distributions and quasi-stationary distributions.
   In preparation. (with Chenchen Mou, Zhongwei Shen and Yingfei Yi)
2. Tightness and concentration of quasi-stationary distributions for multi-dimensional absorbed singular diffusions.
   In preparation.

Submitted

1. Quasi-stationary distributions of absorbed singular diffusion processes in higher dimensions.
   Submitted. (with Alex Hening, Zhongwei Shen and Yingfei Yi)
2. Stochastic stability of physical measures in conservative systems.
   Submitted. (with Zhongwei Shen and Yingfei Yi)
3. Population dynamics under demographic and environmental noises.
   Under minor revision at Annals of Applied Probability. (with Alex Hening, Zhongwei Shen and Yingfei Yi)

Published & Accepted

1. Large deviation principle for quasi-stationary distributions and multiscale dynamics of absorbed singular diffusions.
   Probability Theory and Related Fields, accepted. (with Zhongwei Shen and Yingfei Yi)
2. Transient dynamics of absorbed singular diffusions.
   Journal of Dynamics and Differential Equations 34 (2022), no.4, 3089-3129. (with Min Ji, Zhongwei Shen and Yingfei Yi)
3. 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)
4. 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.
5. 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)
6. 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)