24.12.2014 Views

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Bishop’s QC-<strong>fold<strong>in</strong>g</strong> for entire maps <strong>in</strong> class B<br />

1/4 ˜D n<br />

U n<br />

· · ·<br />

f n<br />

5<br />

x 0<br />

x n<br />

f n<br />

The nth preimage. The disc U n (1/4 Koebe’s Theorem) has radius<br />

comparable to<br />

( ( )) d 1 −1<br />

r n =<br />

dx f n .<br />

2<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>

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!