Furstenberg's conjecture and measure rigidity for some classes of non-abelian affine actions on tori
In 1967 Furstenberg proved that the set {2n3mα(mod 1) | n, m ∈N} is dense in the circle for any irrational α. He also made the following famous measure rigidity conjecture: the only ergodic measures on the circle invariant under both x —> 2x and x —> 3x are the Lebesgue measure and mea...
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| Format: | Others |
| Language: | English |
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KTH, Matematik (Avd.)
2015
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| Online Access: | http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-172037 |