Research Papers
1. Measure-valued
processes and related topics -- 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 249–254,
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:
231–242. [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 for 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.; Ma, C.H.
(2008): Catalytic discrete state branching models and related limit theorems.
Journal of Theoretical Probability 21, 4: 936-965. [pdf file]
47. 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]
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.
(2010): Stochastic equations of non-negative processes with jumps. Stochastic
Processes and their Applications 120, 3: 306-330. [pdf file] [corrections]
50. Li, Z.H.; Xiong, J.;
Zhang, M. (2010): Ergodic theory for a superprocess over a stochastic flow.
Stochastic Processes and their Applications 120, 8: 1563-1588. [pdf file]
51. Li, Z.H.; Mytnik, L.
(2011): Strong solutions for stochastic differential equations with jumps.
Annales de l'Institut Henri Poincare: Probabilites et Statistiques 47, 4:
1055-1067. [pdf file]
52. Li, Z.H.; Wang, H.;
Xiong, J.; Zhou, X.W. (2010): Joint continuity for the solutions to a class of
nonlinear SPDEs. Probability Theory and Related Fields. To appear. [pdf file]
53. Dawson, D.A.; Li, Z.H. (2010): Stochastic equations, flows and measure-valued processes. The Annals of Probability. To appear. [pdf file]
54. He, H.; Li, Z.H.; Zhou, X.W. (2011): An integral test on time dependent local extinction for super-coalescing Brownian motion with Lebesgue initial measure. Journal of Theoretical Probability. To appear. [pdf file]
55. Li, Z.H.; Wang, L. (2009): Fluctuation limits of the super-Brownian motion with a single point catalyst. Submitted. [pdf file]
56. Li, Z.H.; Liu, H.L.; Xiong, J.; Zhou, X.W. (2011): Some properties of the generalized Fleming-Viot processes. Submitted. [pdf file]