Introduction Part I. Analysis of doubling 1. Feigenbaum universality for area-preserving maps 2. Generating functions 3. Further reduction of the problem 4. Spectral properties 5. Construction of the operator $\mathcal {L}$ 6. Construction of the doubling operator Part II. Functional analysis on the computer 1. Interval and neighborhood arithmetics 2. Spectral theory 3. Interval and neighborhood arithmetics on a computer List of correspondence Part III. Proofs 1. Computer program 2. Program output
Notes
"January 1984, volume 47, number 289 (first of six numbers)."
