Symbolic dynamics techniques for complex systems: Application to share price dynamics
نویسندگان
چکیده
منابع مشابه
Complex Dynamics and Symbolic Dynamics
Robert L. Devaney, Boston University Synopsis As so often happens in mathematics, there is a surprising connection between two quite distinct subfields of dynamical systems theory, namely the structure of the automorphism group of the one sided shift map on d-symbols and the topology of the analogue of the Mandelbrot set for degree d polynomials of one complex variable. In this lecture we will ...
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◦ Geodesic flows on compact manifolds with negative sectional curvature. Later, we relax uniform hyperbolicity to an asymptotic one, called non-uniform hyperbolicity. Two examples of such systems are: ◦ Slow down of fA : T → T, see [9]. ◦ Geodesic flows on surfaces with nonpositive curvature. Introductory example: Smale’s horseshoe [21]. Let g : K → K be Smale’s horseshoe map, and σ : Σ→ Σ the ...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2017
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/118/30001