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

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

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

σ = cosh<br />

σ = exp<br />

H +<br />

η<br />

π<br />

C<br />

z D k k<br />

π<br />

2<br />

0 R<br />

1<br />

2 S<br />

τ λ s<strong>in</strong>h<br />

η = τ<br />

S k<br />

g = ση<br />

f = gφ<br />

1<br />

τ = z − z k<br />

η = τ<br />

D<br />

H +<br />

σ σ(z) = ρ(τ d k )<br />

ρ(0) = 1 2 , ρ| ∂D = Id<br />

C<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!