3 papers
math.OC2024
The minimal hitting probability of continuous-time controlled Markov systems with countable states
Yanyun Li, Junping Li
This paper concentrates on the minimal hitting probability of continuous-time controlled Markov systems (CTCMSs) with countable state and finite admissible action spaces. The exist…
math.PR2024
The multiple birth properties of multi-type Markov branching processes
Junping Li, Wanting Zhang
The main purpose of this paper is to consider the multiple birth properties for multi-type Markov branching processes. We first construct a new multi-dimensional Markov process bas…
math.PR2024
Birth-Death processes with two-type catastrophes
Junping Li
This paper concentrates on the general birth-death processes with two different types of catastrophes. The Laplace transform of transition probability function for birth-death proc…