All People
Chao Zhu

Chao Zhu

  • Professor, Mathematical Sciences

Education

  • PhD, Wayne State University, 2007
  • MS, East China Normal University, Shanghai, 2002
  • BS, East China Normal University, Shanghai,1999

Research Interests

  • Applied probability 
  • Stochastic analysis and stochastic control
  • Actuarial sciences and finance
  • Mathematical biology
  • Mathematical statistics

Related Activities

Serving in the editorial boards of SIAM Journal on Control and Optimization, Stochastics An International Journal of Probability and Stochastic Processes, and Statistics and Probability Letters.

Biographical Sketch

Chao Zhu joined the University of Wisconsin-Milwaukee in 2007 as an Assistant Professor in the Department of Mathematical Sciences after receiving a Ph.D. from Wayne State University in the same year. He was promoted to Associate Professor in 2012 and to Professor in 2018. His current research interests include applied probability, stochastic analysis, and stochastic control, with a particular emphasis on the long-time behavior of stochastic processes and ergodic stochastic control problems.

Books

H.-D. Nguyen, G. Yin, and C. Zhu, Hybrid Switching Diffusions: Properties and Applications, 2nd ed., Vol. 63 of Probability Theory and Stochastic Modelling, Springer, New York, 2025. https://doi.org/10.1007/978-3-031-93303-5
G. Yin and C. Zhu, Hybrid Switching Diffusions: Properties and Applications, Vol. 63 of Stochastic Modeling and Applied Probability, Springer, New York, 2010. https://doi.org/10.1007/978-1-4419-1105-6

Selected Publications

K. Helmes, R. Stockbridge, and C. Zhu, Single-Item Continuous-Review Inventory Models with Random Supplies. Advances in Applied Probability, 57(1):134–170, 2025. doi:10.1017/apr.2024.23  
K. Helmes, R. Stockbridge, and C. Zhu, On the Modelling of Impulse Control with Random Effects for Continuous Markov Processes. SIAM J. Control Optim. 62(1), 699–723, 2024. https://doi.org/10.1137/19M1286967
Ya Wang, Fuke Wu, and Chao Zhu, Large deviations for regime-switching diffusions with infinite delay, Stochastic Process. Appl., 176, Paper No. 104418, 20 pp, 2024. https://doi.org/10.1016/j.spa.2024.104418
Fuke Wu, Fubao Xi and Chao Zhu, On a class of McKean-Vlasov stochastic functional differential equations with applications. J. Differential Equations, 371, 31--49, 2023. https://doi.org/10.1016/j.jde.2023.06.022
Khwanchai Kunwai, Fubao Xi, George Yin, and Chao Zhu, On an Ergodic Two-Sided Singular Control Problem, Appl. Math. Optim., 86 (26), 2022. https://doi.org/10.1007/s00245-022-09881-0
K. Helmes, R. Stockbridge, and C. Zhu, A Weak Convergence Approach to Inventory Control Using a Long-term Average Criterion, Advances in Applied Probability, 50, 1032--1074, 2018. https://doi.org/10.1017/apr.2018.50
K.L. Helmes, R.H. Stockbridge, and C. Zhu. Continuous Inventory Models of Diffusion Type: Long-term Average Cost Criterion, Annals of Applied Probability 27 (2017): 1831--1885. DOI: 10.1214/16-AAP1247