Geodesic
Renormalization on the one-dimansion torus
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 142-154 Cet article a éte moissonné depuis la source Math-Net.Ru

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Renormalization formulas connecting the points of the orbits $O^\pm_0$, i.e., the sequences generated by an irrational shift on the half-open interval $[0,1)$ or $(0,1]$, and the points of the orbits' derivatives $d^mO^\pm_0$, i.e., the sequences obtained by restricting $O^\pm_0$ to half-open intervals of smaller length, are obtained. 
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     title = {Renormalization on the one-dimansion torus},
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N. N. Manuylov. Renormalization on the one-dimansion torus. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 142-154. http://geodesic.mathdoc.fr/item/ZNSL_2004_314_a8/

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