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Problems surrounding the mixed Littlewood conjecture for pseudo-absolute values

Stephen Harrap
(University of York)
Analysis Seminar
Monday, 5 September, 2011, at 16:15-17:15, in Aud. D3 (1531-215)
Abstract:
I will discuss a varient of the mixed Littlewood Conjecture, namely one relating to a `pseudo-absolute value' sequence, and how it can be solved under certain restrictions on this sequence. The method appeals to a measure rigidity theorem of Lindenstrauss and relies upon being able to prove the existance of some ergodic measure with positive entropy. Time permitting, I will also describe a metrical result complementing the mixed Littlewood Conjecture itself.
Contact person: Simon Kristensen