Christian Henriksen, Carsten Lunde Petersen
Abstract
Letting f and h denoting rational maps of degree at least 2 and 1 respectively, and denote by fn the nth iterate of f. We give upper and lower bounds on the set of accumulation points of the Julia sets J(h∘fn) with respect to the Hausdorff metric on non-empty compact subsets of the sphere.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Letting f and h denoting rational maps of degree at least 2 and 1 respectively, and denote by fn the nth iterate of f. We give upper and lower bounds on the set of accumulation points of the Julia sets J(h∘fn) with respect to the Hausdorff metric on non-empty compact subsets of the sphere.
Key concepts: Mathematics