Year: 2008
Type: preprint
Abstract: We show that the sets of weighted badly approximable vectors in $\Bbb R^n$ are winning sets of certain games, which are modifications of $(α,β)$-games introduced by W. Schmidt in 1966. The latter winning property is stable with respect to countable intersections, and is shown to imply full Hausdorff dimension.
Source: arXiv (Cornell University)
Authors: Kleinbock, Dmitry, Weiss, Barak
Institutions: Brandeis University, Ben-Gurion University of the Negev
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2951985072