Bishop's qc-folding and wandering domains in Eremenko ... - ICMS

More documents

Recommendations

Info

Bishop’s QC-folding for entire maps in class B We change g in the D n ’s to be g = ρ n ρ(τ dn ) so that ρ n (1/2) = w n+1 the center of U n+1 . The new dilatation is O(r n+1 ) and it is supported in O((d n ) −1 ) around the ∂ ˜D n . Notice that the distance from 1/2 to w n+1 is governed by r n+1 . The correction on φ is close to the identity in the whole plane but we only need to do so in unit discs centered at the points {x 0 , . . . x n } so that U n+1 still is mapped to ˜D n+1 (if necessary, we increase d n ). We do these slightly modifications to be summable over n. Wandering domains and Bishop’s folding
The end!! Thank you!! Wandering domains and Bishop’s folding
Page 1 and 2: Bishop’s qc-folding and wandering
Page 3 and 4: Background Definition: Let f be a r
Page 5 and 6: Wandering domain example II (Herman
Page 7 and 8: Critically finite entire transcende
Page 9 and 10: Composite entire functions and Carl
Page 11 and 12: Eremenko-Lyubich class and wanderin
Page 13 and 14: Bishop’s QC-folding for entire ma
Page 33: Bishop’s QC-folding for entire ma

Bishop's qc-folding and wandering domains in Eremenko ... - ICMS

Create successful ePaper yourself

Delete template?

Save as template?