Every Weak Perron Number is an End-Periodic Stretch Factor

Published 20 Mar 2026 in math.GT and math.DS | (2603.20491v1)

Abstract: Given any weak Perron number $λ$, we construct an end-periodic homeomorphism $f:Σ\rightarrow Σ$ with Handel-Miller stretch factor equal to $λ$ where $Σ$ is a connected infinite-type surface with finitely many ends all accumulated by genus.

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