Bozgan, Francisc; Sanchez, Anthony; Silva, Cesar E.; Stevens, David; Wang, Jane Subsequence bounded rational ergodicity of rank-one transformations. (English) Zbl 1351.37035 Dyn. Syst. 30, No. 1, 70-84 (2015). Summary: We show that all rank-one transformations are subsequence boundedly rationally ergodic, and that there exist rank-one transformations that are not weakly rationally ergodic. Cited in 5 Documents MSC: 37A40 Nonsingular (and infinite-measure preserving) transformations 37A05 Dynamical aspects of measure-preserving transformations 37A25 Ergodicity, mixing, rates of mixing 37A30 Ergodic theorems, spectral theory, Markov operators Keywords:infinite-measure preserving; ergodic; rationally ergodic; rank-one transformations PDFBibTeX XMLCite \textit{F. Bozgan} et al., Dyn. Syst. 30, No. 1, 70--84 (2015; Zbl 1351.37035) Full Text: DOI arXiv References: [1] DOI: 10.1090/surv/050 · doi:10.1090/surv/050 [2] DOI: 10.1007/BF02761661 · Zbl 0376.28011 · doi:10.1007/BF02761661 [3] DOI: 10.1007/BF02762160 · Zbl 0438.28017 · doi:10.1007/BF02762160 [4] DOI: 10.1017/etds.2012.102 · Zbl 1287.37006 · doi:10.1017/etds.2012.102 [5] Dai I, Ergodic Theory Dyn Sys. (2012) [6] Danilenko AI, Vol. 5, Encyclopedia of complexity and system science pp 3055– (2013) [7] Ferenczi S, Colloq Math. 73 pp 35– (1997) [8] DOI: 10.1090/S0002-9939-1971-0276440-2 · doi:10.1090/S0002-9939-1971-0276440-2 [9] DOI: 10.1017/S0143385700003552 · Zbl 0595.47005 · doi:10.1017/S0143385700003552 [10] Maharam D, Fund Math. 56 pp 35– (1964) [11] King JLF, Colloq Math. 84 (2) pp 521– (2000) [12] DOI: 10.1007/BF01694076 · Zbl 0226.28008 · doi:10.1007/BF01694076 [13] DOI: 10.4064/sm187-1-4 · Zbl 1143.37004 · doi:10.4064/sm187-1-4 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.