This is a multi-part message in MIME format. ---------------1410071635233 Content-Type: text/plain; name="14-70.comments" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="14-70.comments" AMS-Code: 37E20 E-mail: koch@math.utexas.edu For the source code of the computer programs and possible updates, see ftp://ftp.ma.utexas.edu/pub/papers/koch/maps-spec/index.html ---------------1410071635233 Content-Type: text/plain; name="14-70.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="14-70.keywords" area preserving maps, commuting pairs, Calabi invariant, cylinder, quasi periodic, golden mean, invariant circle, breakup, critical, universal, renormalization group, MacKay, fixed point, hyperbolic, generating function, computer assisted ---------------1410071635233 Content-Type: application/pdf; name="rgspec19.pdf" Content-Transfer-Encoding: base64 Content-Disposition: inline; filename="rgspec19.pdf" 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