For unicritical algebraic correspondences z^{p/q}+c, this paper proves asymptotic self-similarity of the Julia set at Misiurewicz points and asymptotic similarity between the Multibrot and Julia sets under a transversality condition, proven algebraically for the (4,2) family.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DS 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Similarity between the Multibrot set and the Julia set of correspondences at Misiurewicz points
For unicritical algebraic correspondences z^{p/q}+c, this paper proves asymptotic self-similarity of the Julia set at Misiurewicz points and asymptotic similarity between the Multibrot and Julia sets under a transversality condition, proven algebraically for the (4,2) family.