In mathematics, the conformal dimension of a metric space X is the infimum of the Hausdorff dimension over the conformal gauge of X, that is, the… (More)

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2011

2011

- John M. Mackay
- 2011

We give a lower and an upper bound for the conformal dimension of the boundaries of certain small cancellation groups. We apply… (More)

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2010

2010

- John M. Mackay
- 2010

We show that if a complete, doubling metric space is annularly linearly connected then its conformal dimension is greater than… (More)

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2009

2009

- H. Hakobyan
- 2009

In this paper we give several conditions for a space to be minimal for conformal dimension. We show that there are sets of zero… (More)

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2008

2008

- Peter Häıssinsky, Univ. Provence, Kevin M. Pilgrim
- 2008

Let f : S → S be an expanding branched covering map of the sphere to itself with finite postcritical set Pf . Associated to f is… (More)

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2007

2007

- John M. Mackay
- 2007

We show that if a complete, doubling metric space is annulus linearly connected then its conformal dimension is greater than one… (More)

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2006

2006

- F. Mahmoudi
- 2006

Rivì ere [11] proved an energy quantization for Yang-Mills fields defined on n-dimensional Riemannian manifolds, when n is larger… (More)

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2005

2005

We prove that the conformal dimension of any metric space is at least one unless it is zero. This confirms a conjecture of J. T… (More)

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2002

2002

- Mario Bonk, Bruce Kleiner
- 2002

Suppose G is a Gromov hyperbolic group, and ∂∞G is quasisymmetrically homeomorphic to an Ahlfors Q–regular metric 2–sphere Z with… (More)

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2001

2001

- Christopher J. Bishop, JEREMY T. TYSON
- 2001

We show that the self-similar set known as the “antenna set” has the property that inff dim(f(X)) = 1 (where the infimum is over… (More)

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2001

2001

- Christopher J. Bishop, Jeremy T. Tyson
- 2001

We show that for each 1 ≤ α < d and K < ∞ there is a subset X of R such that dim(f(X)) ≥ α = dim(X) for every K -quasiconformal… (More)

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