4 citations · 11 across the 18 of their papers we have counts for
22 papers
Every Weak Perron Number is an End-Periodic Stretch Factor
Paige Hillen, Marissa Loving, Chenxi Wu
Given any weak Perron number , we construct an end-periodic homeomorphism with Handel-Miller stretch factor equal to where is a connected infinite-typ…
Volumes of end-periodic mapping tori
Marissa Loving
In this expository paper, we provide an intuition and illustration-driven overview of two recent results that tie the dynamics of certain homeomorphisms of infinite-type surfaces,…
The arc complex is not quasi-isometric to the sphere complex
Tarik Aougab, Marissa Loving
We show that the arc complex is not quasi-isometric to the sphere complex associated to the double of a genus handlebody. Along the wa…
A lower bound on end-periodic stretch factors
Marissa Loving, Chenxi Wu
Given an end-periodic homeomorphism we give a lower bound on the Handel--Miller stretch factor of in terms of the core characteristic of , which is a measure of…
A note on an effective characterization of covers with an application to higher rank representations
Tarik Aougab, Max Lahn, Marissa Loving +1
In this note we prove an effective characterization of when two finite-degree covers of a connected, orientable surface of negative Euler characteristic are isomorphic in terms of…
A lower bound on volumes of end-periodic mapping tori
Elizabeth Field, Autumn Kent, Christopher Leininger +1
We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end-periodic homeomorphism f. This result, together with work of Field, Kim, Lein…