@article{nica_strong_2015,
	title = {Strong hyperbolicity},
	url = {http://arxiv.org/abs/1408.0250},
	abstract = {We propose the metric notion of superbolicity as a way of obtaining hyperbolicity with sharp additional properties. Specifically, superbolic spaces are Gromov hyperbolic spaces that are as metrically well-behaved at infinity as CAT(−1) spaces, and, under weak geodesic assumptions, they are strongly bolic as well. We show that CAT(−1) spaces are superbolic. On the way, we determine the best constant of hyperbolicity for H2. We also show that the Green metric defined by a random walk on a hyperbolic group is superbolic. A measuretheoretic consequence at the boundary is that the harmonic measure defined by a random walk is a visual Hausdorff measure.},
	language = {en},
	urldate = {2020-12-14},
	journal = {arXiv:1408.0250 [math]},
	author = {Nica, Bogdan and Spakula, Jan},
	month = jun,
	year = {2015},
	note = {arXiv: 1408.0250},
	keywords = {20F67, Mathematics - Group Theory, Mathematics - Metric Geometry},
}

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