Conformal dimension

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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Topic mentions per year

1953-2018
05010019532017

Papers overview

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2011
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
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
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
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
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
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
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
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
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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