TL;DR
This paper identifies the smallest dilatation values for mapping classes generated by Penner's construction on orientable closed surfaces and explores extensions to punctured surfaces.
Contribution
It precisely determines minimal dilatations in Penner's construction and extends the analysis to surfaces with punctures.
Findings
Minimal dilatation values for closed surfaces identified
Extensions to punctured surfaces discussed
Provides bounds and explicit examples
Abstract
For all orientable closed surfaces, we determine the minimal dilatation among mapping classes arising from Penner's construction. We also discuss generalisations to surfaces with punctures.
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