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math.NT2020★ 2 cited
Bad() is hyperplane absolute winning
Victor Beresnevich, Erez Nesharim, Lei Yang
In 1998 Kleinbock conjectured that any set of weighted badly approximable real matrices is a winning subset in the sense of Schmidt's game. In this paper we prove this…
math.NT2020
Winning property of badly approximable points on curves
Victor Beresnevich, Erez Nesharim, Lei Yang
In this paper we prove that badly approximable points on any analytic non-degenerate curve in is an absolute winning set. This confirms a key conjecture in the area…