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
Description:
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).
