Cyclical thrombocytopenia: Characterization by spectral analysis and a review.
Adventures in Poland: Having Fun and Doing Research with Andrzej Lasota
This is an account of my scientific and personal friendship with Prof. Andrzej(Andy) Aleksander Lasota from 1977 until his death 28 December, 2006. It is a tale that fascinates me because of the intertwined links between many people both East and West of several generations, and it illustrates what I feel is the strength and beauty of the personal side of the scientific endeavor.
Central limit theorems for non-invertible measure preserving maps
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
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.
Page 1