TL;DR
This paper proves Smale's mean value conjecture using advanced techniques involving quasiconformal deformations and holomorphic motions, contributing to the understanding of polynomial mappings and their critical points.
Contribution
The paper provides a proof of Smale's mean value conjecture, a longstanding open problem, employing novel methods from quasiconformal and holomorphic deformation theory.
Findings
Proof of Smale's mean value conjecture
Application of quasiconformal deformations in complex analysis
Advancement in understanding polynomial critical points
Abstract
In this paper, we prove Smale's mean value conjecture by making use of quasiconformal deformations and holomorphic motions.
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Taxonomy
TopicsScheduling and Optimization Algorithms