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原文連結
論文資訊
- 類型：已發表論文
- 日期：2025-04-11
摘要
By unifying three foundational principles of modern biology, we develop a 數學 framework to analyze the growing tree of life. Contrary to the static case, where the analogy between 系統發育 trees and the tree that grows in soil is drawn, our framework shows that the living tree of life is analogous to a Cantor dust where each branch is a distinct 碎形 curve. The system as a whole is therefore multi碎形 in the sense that it consists of many unique 碎形s. The three foundational principles for the 數學 framework are that phylogeny is nested, phylogeny is dualistic (i.e., transitive between singularities and 族群s), and phylogeny is 隨機. Integrating these three principles, we model the dynamic (i.e., living) tree of life as a random iterated function system that generates unique convexly related sequences of b
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