Rank one transformations with singular spectral type |
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| Authors: | Ivo Klemes Karin Reinhold |
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| Institution: | (1) Department of Mathematics and Statistics, McGill University, H3A 2K6 Montréal, Québec, Canada;(2) Department of Mathematics and Statistics, University at Albany SUNY, 12222 Albany, NY, USA |
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| Abstract: | We show that a certain class of measures arising from generalized Riesz products is singular. In particular, cutting and stacking
(i.e. rank one) transformations whose cuts do not grow too rapidly, have singular maximal spectral type. The precise condition
is
, wherew
h is the number of cuts at stagen.
Supported by a Canada NSERC grant.
Supported by an NSF grant. |
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| Keywords: | |
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