Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: rank-1

Sortuj według:

Ogranicz wyniki do:

Mixing but not exact quasi-Markovian process

Sachse P.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 4

365-379

Mixing Smorodinsky-Adams map [2] with q_n = n^2, is shown to satisfy, with respect to the time-zero partition, the d+ > 1/16 property. Basing on a general theorem from [7], an explicite example of a mixing but not exact quasi-Markovian process is given. The d+ > O property is studied: although defined for a process, it is shown to be a property of the transformation itself. All mixing rank one transformations are shown to possess this property, which strenghtens the result from [3]. Several other transformations are observed not to satisfy this property (von Neumann-Kakutani's map, irrational rotations, Feldman's map). A rank one weakly mixing example with d+ = O is also given.

Lightly but not partially mixing quasi-Markovian process

Sachse P.

Bulletin of the Polish Academy of Sciences. Mathematics

2003

Vol. 51, no 4

381-391

A lightly and not partially mixing rank one transformation, considered in [2], is shown to satisfy the d+ > O property. This permits to construct an explicite example of a lightly and not partially mixing quasi-Markovian process, as well as a piecewise monotone and continuous, expanding interval map, lightly and not partially mixing, which complements the results of [1] and [6].