Zhenyao Sun’s Home Page

Preprints

  1. C. Barnes, L. Mytnik, and Z. Sun, Wright-Fisher stochastic heat equations with irregular drifts.
  2. L. Qian, and Z. Sun, On the spetral radius of of the $(L,\kappa)$-lazy Markov chain.
  3. C. Barnes, L. Mytnik, and Z. Sun, Effect of small noise on the speed of reaction-diffusion equations with non-Lipschitz drift. To appear in Ann. Inst. Henri Poincaré Probab. Stat.

Publications

  1. C. Barnes, L. Mytnik, and Z. Sun, On the coming down from infinity of coalescing Brownian motions. Ann. Probab. 52 (2024), no. 1, 67-92
  2. R. Liu, Y.-X. Ren, R. Song, and Z. Sun, Subcritical superprocesses conditioned on non-extinction. Stochastic Process. Appl. 163 (2023), 498-534.
  3. Y.-X. Ren, R. Song, Z. Sun and J. Zhao: Stable Central Limit Theorems for Super Ornstein-Uhlenbeck Processes, II. Acta Math. Sin. (Engl. Ser.) 38 (2022), no. 3, 487-498.
  4. R. Liu, Y.-X. Ren, R. Song and Z. Sun: Quasi-stationary distributions for subcritical superprocesses. Stochastic Process. Appl. 132 (2021), 108-134.
  5. Y.-X. Ren, R. Song and Z. Sun: Limit theorems for a class of critical superprocesses with stable branching. Stochastic Process. Appl. 130 (2020), no. 7, 4358-4391.
    • There is a mistake when we cite H. Kesten, P. Ney and F. Spitzer’s 1966 paper: we can not obtain (1.2) when $\sigma = \infty$. This does not affect the other part of the paper.
  6. Y.-X. Ren, R. Song, Z. Sun, and J. Zhao: Stable central limit theorems for super Ornstein-Uhlenbeck processes. Electron. J. Probab. 24 (2019), Paper no. 141, 42 pp.
  7. Y.-X. Ren, R. Song and Z. Sun: Spine decompositions and limit theorems for a class of critical superprocesses. Acta. Appl. Math. 165 (2020), 91-131.
  8. Y.-X. Ren, R. Song and Z. Sun: A 2-spine decomposition of the critical Galton-Waston tree and a probabilistic proof of Yaglom’s theorem. Electron. Commun. Probab. 23 (2018), Paper no. 42, 12 pp.
  9. T. Hu and Z. Sun: Purchase limit policy and social welfare: A theoretical exploration. Economic Science. 6 (2011), 42-50, in Chinese.

Slides

Events