Lightly but not partially mixing quasi-Markovian process

• Autorzy: Sachse P.
• Języki publikacji: EN

Abstrakty

EN

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].

Słowa kluczowe

EN

quasi-Markovian process; rank-1; mixing; d+>0 property

PL

quasi-Markovian process; mieszanie

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2003
• Tom: Vol. 51, no 4
• Strony: 381--391
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Sachse P.

• Wrocław University of Technology, Institute of Mathematics, Janiszewskiego 14, 50-370 Wrocław, Poland,

Bibliografia

• [1] C. Bose, Mixing examples in the class of piecewise monotone and continuous maps of the unit interval, Israel J. Math., 83 (1-2) (1993) 129-152.
• [2] N. A. Friedman, J. L. King, Rank one lightly mixing, Israel J. Math., 73 (3) (1991) 281-288.
• [3] J. L. King, Lightly mixing is closed under countable products, Israel J. Math., 62 (3) (1988) 341-346.
• [4] Z. S. Kowalski, Quasi-Markovian transformations, Ergodic Theory Dynam. Systems, 17 (1997) 885-897.
• [5] Z. S. Kowalski, Weakly mixing but not mixing quasi-Markovian processes, Studia Math., 142 (3) (2000) 235-244.
• [6] A. Quas, Non-erqodicity for C1 expanding maps and g-measures, Ergodic Theory Dynam. Systems, 16 (1996) 531-543.
• [7] P. Sachse, Mixing but not exact quasi-Markovian process, Bull. Pol. Ac.: Math., this issue, pp. 365-379.