Dendrite (mathematics)
In mathematics, a dendrite is a certain type of topological space that may be characterized either as a locally connected dendroid or equivalently as a locally connected continuum that contains no simple closed curves.[1]
Dendrite Julia set
Importance
Dendrites may be used to model certain types of Julia set.[2] For example, if 0 is pre-periodic, but not periodic, under the function , then the Julia set of is a dendrite.[3]
gollark: You mean a hash function?
gollark: IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII see.
gollark: If you like, I can replace the RNG with `return 4`.
gollark: > I would like a bot that uses cryptography and requires having a selfbot installed to produce perfectly unbiased because decentralised dice rollsI'm not sure how you would prevent being able to calculate dice rolls in advance before they happen, if you have some kind of decentralized verification scheme.
gollark: And it is!
References
- Whyburn, Gordon Thomas (1942), Analytic Topology, American Mathematical Society Colloquium Publications, 28, New York: American Mathematical Society, p. 88, MR 0007095.
- Carleson, Lennart; Gamelin, Theodore W. (1993), Complex Dynamics, Universitext, 69, Springer, p. 94, ISBN 9780387979427.
- Devaney, Robert L. (1989), An Introduction to Chaotic Dynamical Systems, Studies in Nonlinearity, Addison-Wesley Publishing Company, p. 294, MR 1046376.
See also
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- Misiurewicz point
- Real tree, a related concept defined using metric spaces instead of topological spaces
- Dendroid (topology) and unicoherent space, two more general types of tree-like topological space
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