The stochastic process can be defined quite generally and has attracted many scholars’ attention owing to its wide applications in various fields such as physics, mathematics, finance, and engineering.

Although stochastic process theory and its applications have made great progress in recent years, there are still a lot of new and challenging problems existing in the areas of theory, analysis, and application, which cover the fields of stochastic control, Markov chains, renewal process, actuarial science, and so on. These problems merit further study by using more advanced theories and tools.

The aim of this special issue is to publish original research articles that reflect the most recent advances in the theory and applications of stochastic processes. The focus will especially be on applications of stochastic processes as key technologies in various research areas, such as Markov chains, renewal theory, control theory, nonlinear theory, queuing theory, risk theory, communication theory engineering and traffic engineering.

Potential topics include but are not limited to the following:

• Stochastic models
• Random motions
• Queuing theory
• Renewal process theory and its application
• Stochastic differential equation and stochastic control
• Application of queuing theory in traffic engineering
• Application of Markov process in communication theory engineering
• Applications to risk theory, insurance, actuarial science and system risk engineering