1 citations · 1 across the 1 of their papers we have counts for
5 papers
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…
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…
Schmidt's game on Hausdorff metric and function spaces: generic dimension of sets and images
Ábel Farkas, Jonathan M. Fraser, Erez Nesharim +1
We consider Schmidt's game on the space of compact subsets of a given metric space equipped with the Hausdorff metric, and the space of continuous functions equipped with the supre…
Metric Diophantine approximation with congruence conditions
Erez Nesharim, Rene Rühr, Ronggang Shi
We prove a version of the Khinchine--Groshev theorem for Diophantine approximation of matrices subject to a congruence condition. The proof relies on an extension of the Dani corre…
On the -adic Littlewood Conjecture
Faustin Adiceam, Erez Nesharim, Fred Lunnon
The -adic Littlewood Conjecture due to De Mathan and Teulié asserts that for any prime number and any real number , the equation $$\inf_{|m|\ge 1} |m|\cdot |m|_p\cdot |\l…