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 />
D ( x 0 , ( 1 2 )dn )<br />
1/4 ˜D n<br />
1/2 ˜D n<br />
· · ·<br />
x 0<br />
x n<br />
The image by f = g ◦ φ of 1/4 ˜D n .<br />
The map φ sends 1/4 ˜D n <strong>in</strong>side 1/2 ˜D n (Dyn’k<strong>in</strong>’s estimates<br />
for n large enough).<br />
The map g(z) = ρ ( (z − ˜z n ) dn) sends D(x 0 , ( 1 2 )dn ).<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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