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Central limit theorems for non-invertible measure preserving maps

100%

Mackey M., Tyran-Kamińska M.

Colloquium Mathematicum

2008

tom 110

nr 1

167-191

Using the Perron-Frobenius operator we establish a new functional central limit theorem for non-invertible measure preserving maps that are not necessarily ergodic. We apply the result to asymptotically periodic transformations and give a specific example using the tent map.

Dynamics and density evolution in piecewise deterministic growth processes

100%

Mackey M., Tyran-Kamińska M.

Annales Polonici Mathematici

2008

tom 94

nr 2

111-129

A new sufficient condition is proved for the existence of stochastic semigroups generated by the sum of two unbounded operators. It is applied to one-dimensional piecewise deterministic Markov processes, where we also discuss the existence of a unique stationary density and give sufficient conditions for asymptotic stability.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

2 Mackey M.

2 Tyran-Kamińska M.

2 2008

Wyniki wyszukiwania

Central limit theorems for non-invertible measure preserving maps

Dynamics and density evolution in piecewise deterministic growth processes