Bishop's qc-folding and wandering domains in Eremenko ... - ICMS
Bishop's qc-folding and wandering domains in Eremenko ... - ICMS
Bishop's qc-folding and wandering domains in Eremenko ... - ICMS
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Bishop’s QC-<strong>fold<strong>in</strong>g</strong> for entire maps (<strong>in</strong> class B)<br />
Assume f is entire with precisely two critical values: {−1, 1}.<br />
Let T = f −1 ([−1, 1]).<br />
Ω j<br />
H +<br />
τ<br />
σ = cosh<br />
C<br />
−1 1<br />
T<br />
C<br />
f<br />
Ma<strong>in</strong> problem: Is it possible to start with an abstract tree T <strong>and</strong> a<br />
map τ so that f = στ is entire Answer: Formally no, but close to<br />
this.<br />
W<strong>and</strong>er<strong>in</strong>g <strong>doma<strong>in</strong>s</strong> <strong>and</strong> Bishop’s <strong>fold<strong>in</strong>g</strong>
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