24 citations · 55 across the 9 of their papers we have counts for
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math.MG2019
The Quasi-hyperbolicity Constant of a Metric Space
George Dragomir, Andrew Nicas
We introduce the quasi-hyperbolicity constant of a metric space, a rough isometry invariant that measures how a metric space deviates from being Gromov hyperbolic. This number, for…
math.MG2017
Metric transforms yielding Gromov hyperbolic spaces
George Dragomir, Andrew Nicas
A real valued function of one variable is called a metric transform if for every metric space the composition is also a metric on . We give a complet…
math.MG2016★ 1 cited
Regular Finite Decomposition Complexity
Daniel Kasprowski, Andrew Nicas, David Rosenthal
We introduce the notion of regular finite decomposition complexity of a metric family. This generalizes Gromov's finite asymptotic dimension and is motivated by the concept of fini…