Zhenyao Sun’s Home Page
Preprints
- C. Barnes, L. Mytnik, and Z. Sun, Wright-Fisher stochastic heat equations with irregular drifts.
- L. Qian, and Z. Sun, On the spetral radius of of the $(L,\kappa)$-lazy Markov chain.
- 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
- 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
- R. Liu, Y.-X. Ren, R. Song, and Z. Sun, Subcritical superprocesses conditioned on non-extinction. Stochastic Process. Appl. 163 (2023), 498-534.
- 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.
- R. Liu, Y.-X. Ren, R. Song and Z. Sun: Quasi-stationary distributions for subcritical superprocesses. Stochastic Process. Appl. 132 (2021), 108-134.
- 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.
- 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.
- 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.
- 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.
- T. Hu and Z. Sun: Purchase limit policy and social welfare: A theoretical exploration. Economic Science. 6 (2011), 42-50, in Chinese.
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