34 citations · 104 across the 17 of their papers we have counts for
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math.GT2022
Shifts maps are not type-preserving
Carolyn Abbott, Nicholas Miller, Priyam Patel
For a surface of sufficient complexity, Dehn twists act elliptically on the arc, curve, and relative arc graph of . We show that composing a Dehn twist with a shift map resu…
math.GT2022
Constructing endperiodic loxodromics of infinite-type arc graphs
Priyam Patel, Samuel J. Taylor
We give general conditions to produce endperiodic homeomorphisms that act loxodromically on various arc graphs of infinite-type surfaces.
math.GT2022
Thurston's Theorem: Entropy in Dimension One
Ryan Dickmann, George Domat, Thomas Hill +4
In his paper, Thurston shows that a positive real number is the topological entropy for an ergodic traintrack representative of an outer automorphism of a free group if and onl…