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4:00 pm Thursday, December 4, 2008 Colloquium: Arithmetic progressions in sets of fractional dimensionby Izabella Laba (University of British Columbia) in HB 227- Let $E\subset {\bf R}$ be a closed set of Hausdorff dimension $\alpha$. We prove that if $\alpha$ is sufficiently close to 1, and if $E$ supports a probability measure obeying appropriate dimensionality and Fourier decay conditions, then $E$ contains non-trivial 3-term arithmetic progressions. (Joint work with Malabika Pramanik.)
Submitted by klm1@rice.edu |