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MR2247967 22F10 (11J83 28A80 28D15 37A15)
Einsiedler, Manfred; Katok, Anatole; Lindenstrauss, Elon Invariant measures and the set of exceptions to Littlewood's conjecture. Ann. of Math. (2) 164 (2006), no. 2, 513–560.
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