|Title||Limit theorems for some Markov chains|
|Publication Type||Journal Article|
|Year of Publication||2016|
|Authors||Hille SC, Horbacz K, Szarek T, Wojewódka-Ściążko H|
|Journal||Journal of Mathematical Analysis and Applications|
|Keywords||central limit theorem, exponential rate of convergence, invariant measures, Markov operators|
The exponential rate of convergence and the Central Limit Theorem for some Markov operators are established. These operators were efficiently used in some biological models (see Hille, Horbacz & Szarek (2015) ), which generalize the cell cycle model given by Lasota & Mackey (1999) .