Jean-Pierre Eckmann (born 27 January 1944) is a Swiss mathematical physicist in the department of theoretical physics at the University of Geneva[1] and a pioneer of chaos theory and social network analysis.
[7] With Pierre Collet and Oscar Lanford, Eckmann was the first to find a rigorous mathematical argument for the universality of period-doubling bifurcations in dynamical systems, with scaling ratio given by the Feigenbaum constants.
[8] In a highly cited 1985 review paper with David Ruelle,[9] he bridged the contributions of mathematicians and physicists to dynamical systems theory and ergodic theory,[10] put the varied work on dimension-like notions in these fields on a firm mathematical footing,[11] and formulated the Eckmann–Ruelle conjecture on the dimension of hyperbolic ergodic measures, "one of the main problems in the interface of dimension theory and dynamical systems".
[13] Eckmann has done additional mathematical work in very diverse fields such as statistical mechanics, partial differential equations, and graph theory.
His PhD students have included Viviane Baladi, Pierre Collet, and Martin Hairer.