caa a22 4500 46906840X CHVBK 20180323132914.0 cr unu---uuuuu 170328e19921001xx s 000 0 eng 10.1007/BF02808220 doi (NATIONALLICENCE)springer-10.1007/BF02808220 Smooth cocycles for an irrational rotation [Elektronische Daten] [L. Baggett, K. Merrill] Explicit examples of smooth cocycles not cohomologous to constants are constructed. Necessary and sufficient conditions on the irrational numberθ are given for the existence of such cocycles. It is shown that, depending onθ, the set ofC r cocycles whose skew-product is ergodic is either residual or empty. Hebrew University, 1992 Baggett L. Department of Mathmatics, University of Colorado at Boulder, Campus Box 426, 80309-0426, Boulder, Colorado, USA aut Merrill K. Department of Mathematics, The Colorado College, 80903, Colorado Springs, Colorado, USA aut Israel Journal of Mathematics Springer-Verlag 79/2-3(1992-10-01), 281-288 0021-2172 79:2-3<281 1992 79 11856 https://doi.org/10.1007/BF02808220 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02808220 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Baggett L. Department of Mathmatics, University of Colorado at Boulder, Campus Box 426, 80309-0426, Boulder, Colorado, USA aut NATIONALLICENCE 700 1- Merrill K. Department of Mathematics, The Colorado College, 80903, Colorado Springs, Colorado, USA aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer-Verlag 79/2-3(1992-10-01), 281-288 0021-2172 79:2-3<281 1992 79 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer