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Can I read A Markov chain of triangle shapes on EtoBox?
A Markov chain of triangle shapes by Mannion, David is a Mathematics article available to read on EtoBox.
What is A Markov chain of triangle shapes about?
The process of choosing a random triangle inside a compact convex region, K, may be iterated when K itself is a triangle. In this way successive generations of random triangles are created. Properties of scale, location and orientation are filtered out, leaving only the shapes of the triangles as the objects of study. Various simulation investigations indicate quite clearly that, as n increases, the nth-generation triangle shape converges to collinearity. In this paper we attempt to establish such convergence; our results fall slightly short of a complete proof.
Who reads A Markov chain of triangle shapes?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Mannion, David
- Publisher
- Applied Probability Trust; Cambridge University Press; Cambridge University Press (CUP) (ISSN 0001-8678)
- Published
- 1988
- Language
- EN
- Field
- Mathematics (Physical Sciences)