- 09-67 Gianni Arioli, Hans Koch
- The critical renormalization fixed point
for commuting pairs of area-preserving maps
(270K, plain TeX, Section_8.tgz)
Apr 23, 09
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Abstract. We prove the existence of the critical fixed point (F,G)
for MacKay's renormalization operator for pairs of maps
of the plane. The maps F and G commute, are area-preserving,
reversible, real analytic, and they satisfy a twist condition.
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