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- W3100441194 abstract "We survey the definition of the radial Julia set<inline-formula content-type=math/mathml><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper J Subscript r Baseline left-parenthesis f right-parenthesis><mml:semantics><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow><mml:annotation encoding=application/x-tex>J_r(f)</mml:annotation></mml:semantics></mml:math></inline-formula>of a meromorphic function (in fact, more generally, any<italic>Ahlfors islands map</italic>), and give a simple proof that the Hausdorff dimension of<inline-formula content-type=math/mathml><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper J Subscript r Baseline left-parenthesis f right-parenthesis><mml:semantics><mml:mrow><mml:msub><mml:mi>J</mml:mi><mml:mi>r</mml:mi></mml:msub><mml:mo stretchy=false>(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow><mml:annotation encoding=application/x-tex>J_r(f)</mml:annotation></mml:semantics></mml:math></inline-formula>and the hyperbolic dimension<inline-formula content-type=math/mathml><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=dimension Subscript h y p Baseline left-parenthesis f right-parenthesis><mml:semantics><mml:mrow><mml:msub><mml:mi>dim</mml:mi><mml:mrow class=MJX-TeXAtom-ORD><mml:mi>hyp</mml:mi></mml:mrow></mml:msub><mml:mo><!-- --></mml:mo><mml:mo stretchy=false>(</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy=false>)</mml:mo></mml:mrow><mml:annotation encoding=application/x-tex>dim _{operatorname {hyp}}(f)</mml:annotation></mml:semantics></mml:math></inline-formula>always coincide." @default.
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- W3100441194 date "2008-11-03" @default.
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- W3100441194 title "Hyperbolic dimension and radial Julia sets of transcendental functions" @default.
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