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Quasi-eigenfunctions and quasi-Markovian processes

Kowalski Z., Sachse P.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 2

133-142

We try to characterize q.m.p. using quasi-eigenfunctions and generating Markov partitions. As a result we get some examples of processes which are not q.m.p. and an example of a process satisfying some weaker conditions, than the quasi-Markovian one.

Functions equivalent to Lebesgue measurable ones

Morayne M., Ryll-Nardzewski C.

Bulletin of the Polish Academy of Sciences. Mathematics

1999

Vol. 47, no 3

263-265

We determine when for a function f : [0, 1] --> R there exist a 1-1 mapping fi of [0, 1] onto [0, 1] and a Lebesgue (Baire) measurable function g : [0, 1] --> R such that f = g o fi.