10 citations · 18 across the 9 of their papers we have counts for
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math.GT2005
Dimension of locally and asymptotically self-similar spaces
Sergei Buyalo, Nina Lebedeva
We obtain two in a sense dual to each other results: First, that the capacity dimension of every compact, locally self-similar metric space coincides with the topological dimension…
math.GT2005
Capacity dimension and embedding of hyperbolic spaces into the product of trees
S. Buyalo
We prove that every visual Gromov hyperbolic space X whose boundary at infinity has the finite capacity dimension n admits a quasi-isometric embedding into (n+1)-fold product of me…
math.GT2005
Asymptotic dimension of a hyperbolic space and capacity dimension of its boundary at infinity
S. Buyalo
We introduce a quasi-symmetry invariant of a metric space Z called the capacity dimension. Our main result says that for a visual Gromov hyperbolic space X the asymptotic dimension…