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math.DS2012★ 3 cited
Metric properties of mean wiggly continua
Jacek Graczyk, Peter W. Jones, Nicolae Mihalache
We study lower and upper bounds of the Hausdorff dimension for sets which are wiggly at scales of positive density. The main technical ingredient is a construction, for every conti…
math.DS1994★ 4 cited
Hausdorff dimension and Kleinian groups
Christopher J. Bishop, Peter Jones
Let G be a non-elementary, finitely generated Kleinian group, Lambda(G) its limit set and Omega(G) = S \ Lambda(G) (S = the sphere) its set of discontinuity. Let delta(G) be the cr…