Discrete Processes

  • Mariano Giaquinta
  • Giuseppe Modica


The laws of classical physics are deterministic: if we know exactly the state of a system at a given instant, we know its state for all times. Such a principle, which mathematically corresponds to the existence and uniqueness theorem for the Cauchy problem, has been (and is) a key idea in scientific thought. Pierre-Simon Laplace (1749–1827) wrote in his Essai philosophique sur les probabilités.


Lyapunov Exponent Continue Fraction Discrete Process Continue Fraction Expansion Stable Fixed Point 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Mariano Giaquinta
    • 1
  • Giuseppe Modica
    • 2
  1. 1.Dipartimento di MatematicaScuola Normale SuperiorePisaItaly
  2. 2.Dipartimento di Matematica ApplicataUniversità degli Studi di FirenzeFirenzeItaly

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