A computer-assisted proof of universality for area-preserving maps

Bibliographic Information

A computer-assisted proof of universality for area-preserving maps

J.-P. Eckmann, H. Koch, and P. Wittwer

(Memoirs of the American Mathematical Society, no. 289)

American Mathematical Society, c1984

  • pbk.

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Note

"January 1984, volume 47, number 289 (first of six numbers)."

Bibliography: p. 121

Description and Table of Contents

Table of Contents

  • I. Analysis of doubling: Feigenbaum universality for area-preserving maps Generating functions Further reduction of the problem Spectral properties Constructions of the operator $L$ Construction of the doubling operator
  • II. Functional analysis on the computer: Interval and neighborhood arithmetics Spectral theory Interval and neighborhood arithmetics on a computer List of correspondences
  • III. Proofs: Computer program Program output Table 1.

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