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References
The discussion of hyperbolic fixed points (in Banach spaces) can be found in
M.W. HIRSCH, C.C. PUGH. M, SHUB: Invariant Manifolds. Lecture Notes in Mathematics, Vol. 583. Berlin, Heidelberg, New York. Springer Verlag (1977).
The construction of the normal form is discussed in
E. NELSON: Topics in dynamics, I. Flows, Mathematical notes, Princeton. Princeton University Prtess (169).
The formulae for the corrections to scaling fields are mentioned in who also gives the conditions (4.4) of Sternberg [26].
F.J. WEGNER: Corrections to scaling laws. Phys. Rev. B5, 4529 (1972).
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(1978). The flow around the fixed point. In: A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics. Lecture Notes in Physics, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0017112
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DOI: https://doi.org/10.1007/BFb0017112
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