Geodesic
Hyperbolic structure for the quadratic map
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 266-272 Cet article a éte moissonné depuis la source Math-Net.Ru

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The quadratic map of the real plane is considered. A possible construction of a hyperbolic structure on some non compact set is suggested and discussed. 
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     author = {E. V. Volkov},
     title = {Hyperbolic structure for the quadratic map},
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E. V. Volkov. Hyperbolic structure for the quadratic map. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems. Part VIII, Tome 300 (2003), pp. 266-272. http://geodesic.mathdoc.fr/item/ZNSL_2003_300_a27/

[1] A. Ja. Hinchin, Continuous fractions, Science, Moscow, 1978