Dynamical Systems and Julia sets




B. Derrida, A. Gervois. Y. Pomeau, Itérations d'endomorphismes de la droite réelle et représentation des nombres C. R. Acad. Sci., Série A285, 43-46 (1977)

B. Derrida, A. Gervois, Y. Pomeau, Iteration of endomorphisms on the real axis and representation of numbers Ann. Inst. Henri Poincaré A XXIX, 305-356 (1978) [pdf]

B. Derrida, Propriétés universelles de certains systèmes discrets dans le temps J. Physique C5, 49-52 (1978)

B. Derrida, A. Gervois, Y. Pomeau, Universal metric properties of bifurcations of endomorphisms J. Phys. A12, 269-296 (1979) [pdf]

B. Derrida, Y. Pomeau, Feigenbaum's ratios of two dimensional area preserving maps Phys. Lett. A80, 217-219 (1980) [pdf]

B. Derrida, Critical properties of one dimensional mappings p 137-154 in Bifuraction Phenomena in Mathematical Physics and Related Topics eds C. Bardos, D. Bessis (Riedel 1980)

B. Derrida, J.P. Eckmann, A. Erzan, Renormalization groups with periodic and aperiodic orbits J. Phys. A16, 893-906 (1983) [pdf]

B. Derrida, L. de Sèze, C. Itzykson, Fractal structure of zeros in hierarchical models J. Stat. Phys. 33, 559-569 (1983) [pdf]

B Derrida, C. Itzykson, J. M. Luck, Oscillatory critical amplitudes in hierarchical models Com. Math. Phys. 94, 115-132 (1984) [pdf]

B. Derrida, H. Flyvbjerg, A new real space renormalization method and its Julia set J. Phys. A18, L313-L318 (1985) [pdf]

B. Derrida, Real space renormalization and Julia sets in statistical mechanics p 229-242 in Chaotic dynamics and fractals eds M.F. Barnsley, S.G. Demko 1986 (Academic Press)

B. Derrida, The zeroes of the partition function of the random energy model Physica A177, 31-37 (1991) [pdf]