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Full-Text Articles in Physical Sciences and Mathematics
Statistical Hyperbolicity Of Relatively Hyperbolic Groups, Jeremy Osborne
Statistical Hyperbolicity Of Relatively Hyperbolic Groups, Jeremy Osborne
Theses and Dissertations
In this work, we begin by defining what it means for a group to be statistically hyperbolic. We then give several examples of groups, including non-elementary hyperbolic groups, which either are statistically hyperbolic or are not. Following that, we define what it means for a group to be relatively hyperbolic. Finally, in the main portion of this work, we show that groups which are relatively hyperbolic, with a few additional conditions in place, must also be statistically hyperbolic.
A Volume Bound For Montesinos Links, Kathleen Arvella Finlinson
A Volume Bound For Montesinos Links, Kathleen Arvella Finlinson
Theses and Dissertations
The hyperbolic volume of a knot complement is a topological knot invariant. Futer, Kalfagianni, and Purcell have estimated the volumes of Montesinos link complements for Montesinos links with at least three positive tangles. Here we extend their results to all hyperbolic Montesinos links.