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Jean Pierre Eckmann

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Nationality
  
Swiss

Role
  
Beno Eckmann's son

Doctoral advisor
  
Marcel Guenin

Name
  
Jean-Pierre Eckmann

Fields
  
Mathematics


Alma mater
  
University of Geneva

Education
  
University of Geneva

Parents
  
Beno Eckmann

Notable students
  
Martin Hairer

Jean-Pierre Eckmann

Born
  
27 January 1944 (age 80) (
1944-01-27
)

Doctoral students
  
Viviane Baladi Martin Hairer

People also search for
  
Pierre Collet, Martin Hairer, Beno Eckmann, Marcel Guenin

Institutions
  
University of Geneva

Jean-Pierre Eckmann (born 27 January 1944) is a mathematical physicist in the department of theoretical physics at the University of Geneva and a pioneer of chaos theory and social network analysis.

Eckmann is the son of mathematician Beno Eckmann. He completed his Ph.D. in 1970 under the supervision of Marcel Guenin at the University of Geneva. He has been a member of the Academia Europaea since 2001. In 2012 he became a fellow of the American Mathematical Society.

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. In a highly cited 1985 review paper with David Ruelle, he bridged the contributions of mathematicians and physicists to dynamical systems theory and ergodic theory, put the varied work on dimension-like notions in these fields on a firm mathematical footing, 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". A proof of the conjecture was finally published 14 years later, in 1999. 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 and Martin Hairer.

References

Jean-Pierre Eckmann Wikipedia