Ergodicity,mixing and the Bernoulli property in a DNA hybridization microarray |
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| Authors: | Rob Sturman Stephen Wiggins |
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| Affiliation: | 1. Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK;2. Department of Mathematics, University of Bristol, Bristol, BS8 1TW, UK |
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| Abstract: | Pulsed source–sink devices are an effective way of achieving dynamic hybridization in DNA microarrays. These can be modelled as linked twist maps, and in particular, basing the design on the dynamics of a hyperbolic toral automorphism allows the application of a set of techniques from ergodic theory. This gives a rigorous framework in which to discuss mixing. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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