The bilinear approach to the distance set problem - by Razane Abdel Nasser Berjaoui.

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We are interested in the following open problem (known as the distance set problem or Falconer's conjecture): Let K be a compact set in Rd with Hausdorff dimension strictly greater than half of the dimension d, then the Lebesgue measure of the distance

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Thesis (M.S.)--American University of Beirut, Department of Mathematics, 2011.;"Advisor : Dr. Shayya, Bassam, Professor, Mathematics Members of Committee : Dr. Abi-Khuzam, Farouk, Professor, Mathematic Dr. Tlas, Tamer Assistant Professor, Mathematics."
Includes bibliographical references (leaves 96-98).

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