Research Papers

 

   

  1. Measure-valued Markov processes, skew convolution semigroups, immigration processes, entrance laws and excursions -- An introduction. [pdf file]

  2. Li, Z.H. (1991): Integral representations of continuous functions. Chinese Science Bulletin (Chinese Edition) 36, 2: 81-84 / (English Edition) 36, 12: 979-983. [pdf file]

  3. Li, Z.H. (1992): Branching particle systems in random environments. Chinese Science Bulletin (Chinese Edition) 37, 17: 1541-1543. [pdf file]

  4. Li, Z.H. (1992): A note on the multitype measure branching process. Advances in Applied Probability 24, 2: 496-498. [pdf file]

  5. Li, Z.H. (1992): Measure-valued branching processes with immigration. Stochastic Processes and their Applications 43, 2: 249-264. [pdf file]

  6. Li, Z.H. (1993): Branching particle systems with immigration. Rencontres Franco-Chinoises en Probabilites et Statistiques (Wuhan, 1990), Probability and Statistics 249¨C254, Edited by Badrikian, A. et al., World Scientific, Singapore. [pdf file]

  7. Li, Z.H.; Li, Z.B.; Wang, Z.K. (1993): Asymptotic behavior of the measure-valued branching process with immigration. Science in China Series A (English Edition) 36, 7: 769-777. [pdf file]

  8. Li, Z.H.; Shiga T. (1995): Measure-valued branching diffusions: immigrations, excursions and limit theorems. Journal of Mathematics of Kyoto University 35, 2: 233-274. [pdf file]

  9. Li, Z.H. (1995/6): Convolution semigroups associated with measure-valued branching processes. Chinese Science Bulletin (Chinese Edition) 40, 22: 2018-2021 / (English Edition) 41, 4: 276-280. [pdf file]

  10. Li, Z.H. (1996): Immigration structures associated with Dawson-Watanabe superprocesses. Stochastic Processes and their Applications 62, 1: 73-86. [pdf file]

  11. Li, Z.H. (1998): Immigration processes associated with branching particle systems. Advances in Applied Probability 30, 3: 657-675. [pdf file]

  12. Li, Z.H. (1998): Entrance laws for Dawson-Watanabe superprocesses with non-local branching. Acta Mathematica Scientia (English Edition) 18, 4: 449-456. [pdf file]

  13. Li, Z.H. (1998): Absolute continuity of measure branching processes with mean field interactions. Chinese Journal of Applied Probability and Statistics 14, 3: 231¨C242. [pdf file]

  14. Gorostiza, L.G.; Li, Z.H. (1998): Fluctuation limits of measure-valued immigration processes with small branching. Stochastic Models (Guanajuato, 1998), Sobretiro de Aportaciones Matematicas, Modelos Estocasticos 14, 261-268, Edited by Gonzalez-Barrios, J.M. and Gorostiza, L.G., Sociedad Matematica Mexicana. [pdf file]

  15. Li, Z.H. (1999): Measure-valued immigration diffusions and generalized Ornstein-Uhlenbeck diffusions. Acta Mathematicae Applicatae Sinica (English Series) 15, 3: 310-320. [pdf file]

  16. Li, Z.H. (1999): Some central limit theorems for super Brownian motions. Acta Mathematica Scientia (English Edition) 19, 2: 121-126. [pdf file]

  17. Li, Z.H. (1999): A conditional law of super absorbing barrier Brownian motion. Chinese Journal of Applied Probability and Statistics 15, 1: 77-82. [pdf file]

  18. Li, Z.H.; Pechersky, E.A. (1999): On large deviations in queuing systems. Resenhas do Instituto de Matematica e Estatistica da Universidade de Sao Paulo 4, 2: 163-182. [pdf file]

  19. Li, Z.H.; Shiga, T.; Yao, L.H. (1999): A reversibility problem for Fleming-Viot processes. Electronic Communications in Probability 4, 71-82. [pdf file]

  20. Li, Z.H.; Wang, Z.K. (1999): Measure-valued branching process and immigration processes. Advances in Mathematics (China) 28, 2: 105-134. [pdf file]

  21. Hong, W.M.; Li, Z.H. (1999): A central limit theorem for super Brownian motion with super Brownian immigration. Journal of Applied Probability 36, 4: 1218-1224. [pdf file]

  22. Li, Z.H. (2000): Asymptotic behavior of continuous time and state branching processes. Journal of the Australian Mathematical Society (Series A) 68, 1: 68-84. [pdf file]

  23. Li, Z.H. (2000): Ornstein-Uhlenbeck type processes and branching processes with immigration. Journal of Applied Probability 37, 3: 627-634. [pdf file]

  24. Gorostiza, L.G.; Li, Z.H. (2000): High density fluctuations of immigration branching particle systems. Stochastic Models (Ottawa, Ontario, 1998), CMS Conference Proceedings, Series 26, 159-171, Edited by Gorostiza, L.G. and Ivanoff, B.G., AMS, Providence, RI. [pdf file]

  25. Dawson, D.A.; Li, Z.H.; Wang, H. (2001): Superprocesses with dependent spatial motion and general branching densities. Electronic Journal of Probability 6, Paper No. 25, 1-33. [pdf file]

  26. Hong, W.M.; Li, Z.H. (2001): Fluctuations of a super-Brownian motion with randomly controlled immigration. Statistics and Probability Letters 51, 3: 285-291. [pdf file]

  27. Li, Z.H. (2002): Skew convolution semigroups and related immigration processes. Theory of Probability and its Applications 46, 2: 274-297. [pdf file] [tex file]

  28. Dawson, D.A.; Gorostiza, L.G.; Li, Z.H. (2002): Non-local branching superprocesses and some related models. Acta Applicandae Mathematicae 74, 1: 93-112. [pdf file]

  29. Li, Z.H.; Shiga, T.; Tomisaki, M. (2003): A conditional limit theorem for generalized diffusion processes. Journal of Mathematics of Kyoto University 43, 3: 567-583. [pdf file]

  30. Dawson, D.A.; Li, Z.H. (2003): Construction of immigration superprocesses with dependent spatial motion from one-dimensional excursions. Probability Theory and Related Fields 127, 1: 37-61. [pdf file]

  31. Dawson, D.A.; Li, Z.H.; Wang, H. (2003): A degenerate stochastic partial differential equation for the purely atomic superprocess with dependent spatial motion. Infinite Dimensional Analysis, Quantum Probability and Related Topics 6, 4: 597-607. [pdf file]

  32. Li, Z.H.; Lu, G.H.; Wang, H. (2004): Immigration superprocesses with dependent spatial motion and non-critical branching. Chinese Annals of Mathematics Series A 25, 5: 627-636 / Chinese Journal of Contemporary Mathematics 25, 4: 405-416. [pdf file]

  33. Li, Z.H.; Wang, H.; Xiong, J. (2004): A degenerate stochastic partial differential equation for superprocesses with singular interaction. Probability Theory and Related Fields 130, 1: 1-17. [pdf file]

  34. Li, Z.H.; Wang, Z.K. (2004): Generalized Mehler semigroups and Ornstein-Uhlenbeck processes arising from superprocesses over the real line. Infinite Dimensional Analysis, Quantum Probability and Related Topics 7, 4: 591-605. [pdf file]

  35. Dawson, D.A.; Li, Z.H. (2004): Non-differentiable skew convolution semigroups and related Ornstein-Uhlenbeck processes. Potential Analysis 20, 4: 285-302. [pdf file] [tex file]

  36. Dawson, D.A.; Li, Z.H.; Schmuland, B.; Sun, W. (2004): Generalized Mehler semigroups and catalytic branching processes with immigration. Potential Analysis 21, 1: 75-97. [pdf file]

  37. Dawson, D.A.; Li, Z.H.; Zhou, X.W. (2004): Superprocesses with coalescing Brownian spatial motion as large scale limits. Journal of Theoretical Probability 17, 3: 673-692. [pdf file]

  38. Fu, Z.F.; Li, Z.H. (2004): Measure-valued diffusions and stochastic equations with Poisson process. Osaka Journal of Mathematics 41, 3: 727-744. [pdf file]

  39. Li, Z.H.; Wang, H.; Xiong, J. (2005): Conditional log-Laplace functionals of immigration superprocesses with dependent spatial motion. Acta Applicandae Mathematicae 88, 2: 143-175. [pdf file]

  40. Hong, W.M.; Li, Z.H. (2005): Large and moderate deviations for occupation times of immigration superprocesses. Infinite Dimensional Analysis, Quantum Probability and Related Topics 8, 4: 593-603. [pdf file]

  41. Li, Z.H. (2006): A limit theorem of discrete Galton-Watson branching processes with immigration. Journal of Applied Probability 43, 1: 289-295. [pdf file]

  42. Li, Z.H. (2006): Branching processes with immigration and related topics. Frontiers of Mathematics in China, Selected Publications from Chinese Universities 1, 1: 73-97. [pdf file]

  43. Li, Z.H.; Zhang, M. (2006): Fluctuation limit theorems of immigration superprocesses with small branching. Statistics and Probability Letters 76, 4: 401-411. [pdf file]

  44. Dawson, D.A.; Li, Z.H. (2006): Skew convolution semigroups and affine Markov processes. The Annals of Probability 34, 3: 1103-1142. [pdf file] [tex file]

  45. Li, Z.H.; Xiong, J. (2007): Continuous local time of a purely atomic immigration superprocess with dependent spatial motion. Stochastic Analysis and Applications 25, 6: 1273-1296. [pdf file]

  46. Li, Z.H.; Wang, H.; Xiong, J. (2008): Conditional entrance laws for superprocesses with dependent spatial motion. Infinite Dimensional Analysis, Quantum Probability and Related Topics 11, 2: 259-278. [pdf file]

  47. Li, Z.H.; Ma, C.H. (2008): Catalytic discrete state branching models and related limit theorems. Journal of Theoretical Probability 21, 4: 936-965. [pdf file]

  48. Li, Z.H.; Zhou, X.W. (2008): Distributions and propagations of superprocesses with general branching mechanisms. Communications in Stochastic Analysis 2, 3: 469-477. [pdf file]

  49. Fu, Z.F.; Li, Z.H. (2008): Stochastic equations of non-negative processes with jumps. Submitted. [pdf file]

  50. Li, Z.H.; Xiong, J.; Zhang, M. (2009): Ergodic theory for a superprocess over a stochastic flow. Submitted. [pdf file]

 

 

¡¡

[Chinese Homepage]

[English Homepage]

¡¡

¡¡