Bad(s,t) is hyperplane absolute winning

Erez Nesharim, and David Simmons. "Bad(s,t) is hyperplane absolute winning." Acta Arithmetica 164.2 (2014): 145-152. <http://eudml.org/doc/278954>.

@article{ErezNesharim2014,
abstract = {J. An proved that for any s,t ≥ 0 such that s + t = 1, Bad (s,t) is (34√2)¯¹-winning for Schmidt's game. We show that using the main lemma from [An] one can derive a stronger result, namely that Bad (s,t) is hyperplane absolute winning in the sense of [BFKRW]. As a consequence, one can deduce the full Hausdorff dimension of Bad (s,t) intersected with certain fractals.},
author = {Erez Nesharim, David Simmons},
journal = {Acta Arithmetica},
keywords = {Diophantine approximation; Schmidt's game; two-persons game; Schmidt's conjecture},
language = {eng},
number = {2},
pages = {145-152},
title = {Bad(s,t) is hyperplane absolute winning},
url = {http://eudml.org/doc/278954},
volume = {164},
year = {2014},
}

TY - JOUR
AU - Erez Nesharim
AU - David Simmons
TI - Bad(s,t) is hyperplane absolute winning
JO - Acta Arithmetica
PY - 2014
VL - 164
IS - 2
SP - 145
EP - 152
AB - J. An proved that for any s,t ≥ 0 such that s + t = 1, Bad (s,t) is (34√2)¯¹-winning for Schmidt's game. We show that using the main lemma from [An] one can derive a stronger result, namely that Bad (s,t) is hyperplane absolute winning in the sense of [BFKRW]. As a consequence, one can deduce the full Hausdorff dimension of Bad (s,t) intersected with certain fractals.
LA - eng
KW - Diophantine approximation; Schmidt's game; two-persons game; Schmidt's conjecture
UR - http://eudml.org/doc/278954
ER -