Spaces and groups with conformal dimension greater than one
نویسندگان
چکیده
منابع مشابه
Spaces and Groups with Conformal Dimension Greater than One
We show that if a complete, doubling metric space is annularly linearly connected then its conformal dimension is greater than one, quantitatively. As a consequence, we answer a question of Bonk and Kleiner: if the boundary of a one-ended hyperbolic group has no local cut points, then its conformal dimension is greater than one.
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We show that if a complete, doubling metric space is annulus linearly connected then its conformal dimension is greater than one, quantitatively. As a consequence, hyperbolic groups whose boundaries have no local cut points have conformal dimension greater than one; this answers a question of Bonk and Kleiner.
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2010
ISSN: 0012-7094
DOI: 10.1215/00127094-2010-023