Professor Lior Fishman invites you to attend the Masters project defense of Chris Ball this Friday, June 26th at 2:00 pm
in GAB 461. Cookies and coffee will be served in GAB 472 following this event.
"Badly Approximable Vectors and Schmidt's Game"
We introduce Schmidt's game, originally constructed by Wolfgang Schmidt in 1966. Using the so called "Simplex Lemma," we prove that the set of badly approximable vectors (BA) in Euclidean spaces is winning in the sense of this game, and thus of full Hausdorff dimension. In our presentation we shall prove both the simplex lemma and the fact that BA is winning.