Combination Laws for Scaling Exponents and Relation to the Geometry of Renormalization Operators

Author:

de la Llave Rafael,Olvera Arturo,Petrov Nikola P.

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference75 articles.

1. Apte, A., Wurm, A., Morrison, P.J.: Renormalization and destruction of 1/γ 2 tori in the standard nontwist map. Chaos 13(2), 421–433 (2003)

2. Arioli, G., Koch, H.: The critical renormalization fixed point for commuting pairs of area-preserving maps. Commun. Math. Phys. 295(2), 415–429 (2010)

3. Arnol’d, V.I.: Small denominators. I. Mapping the circle onto itself. Izv. Akad. Nauk SSSR, Ser. Mat. 25, 21–86 (1961). Correction: 28, 479–480 (1964). English translation: Amer. Math. Soc. Transl. (2) 46, 213–284 (1965)

4. Brent, R.P.: Algorithms for Minimization Without Derivatives. Prentice-Hall, Englewood Cliffs (1973)

5. Briggs, K.M.: The doubledouble homepage. URL www.labs.bt.com/people/briggsk2/doubledouble.html

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