Geodesic
Ergodic averages with generalized weights
Doğan Çömez1 ; Semyon N. Litvinov2
1 Department of Mathematics North Dakota State University Fargo, ND 58105-5075, U.S.A.
2 Department of Mathematics Penn State University at Hazleton Hazleton, PA 18202, U.S.A.
Studia Mathematica, Tome 173 (2006) no. 2, pp. 103-128

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Two types of weighted ergodic averages are studied. It is shown that if $F=\{ F_n\} $ is an admissible superadditive process relative to a measure preserving transformation, then a Wiener–Wintner type result holds for $F$. Using this result new good classes of weights generated by such processes are obtained. We also introduce another class of weights via the group of unitary functions, and study the convergence of the corresponding weighted averages. The limits of such weighted averages are also identified.
DOI : 10.4064/sm173-2-1
Keywords: types weighted ergodic averages studied shown admissible superadditive process relative measure preserving transformation wiener wintner type result holds using result classes weights generated processes obtained introduce another class weights via group unitary functions study convergence corresponding weighted averages limits weighted averages identified

Doğan Çömez 1 ; Semyon N. Litvinov 2

1 Department of Mathematics North Dakota State University Fargo, ND 58105-5075, U.S.A.
2 Department of Mathematics Penn State University at Hazleton Hazleton, PA 18202, U.S.A. 
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Doğan Çömez; Semyon N. Litvinov. Ergodic averages with generalized weights. Studia Mathematica, Tome 173 (2006) no. 2, pp. 103-128. doi: 10.4064/sm173-2-1

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