00651nas a2200145 4500000000100000008004100001260001200042100001700054700002200071700001800093700003200111245004200143490000800185520031200193 2016 d c11/20161 aSander Hille1 aKatarzyna Horbacz1 aTomasz Szarek1 aHanna Wojewódka-Ściążko00aLimit theorems for some Markov chains0 v4433 a

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) [8]), which generalize the cell cycle model given by Lasota & Mackey (1999) [12].