<p>We prove that in the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11784_2025_1200_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(C^k\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mi>k</mi> </msup> </math></EquationSource> </InlineEquation> topology generic hyperbolic Mañé sets have zero topological entropy.</p>

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Generic hyperbolic Mañé sets have zero entropy

  • Gonzalo Contreras

摘要

We prove that in the \(C^k\) C k topology generic hyperbolic Mañé sets have zero topological entropy.