Combinatorial rigidity of multicritical maps
Wenjuan Peng, Lei Tan
TL;DR
This paper proves the combinatorial rigidity of multicritical maps by integrating the KSS nest construction with an analytic method, advancing understanding of their structural stability.
Contribution
It introduces a novel combination of existing techniques to establish rigidity results for multicritical maps.
Findings
Proves combinatorial rigidity for multicritical maps.
Develops a new methodological approach combining KSS nest and analytic techniques.
Enhances theoretical understanding of multicritical dynamics.
Abstract
We combine the KSS nest constructed by Kozlovski, Shen and van Strien, and the analytic method proposed by Avila, Kahn, Lyubich and Shen to prove the combinatorial rigidity of multicritical maps.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Topological and Geometric Data Analysis · Advanced Topology and Set Theory