Discrete Processes

Mariano Giaquinta and Giuseppe Modica
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Mariano Giaquinta: Scuola Normale Superiore, Dipartimento di Matematica
Giuseppe Modica: Università degli Studi di Firenze, Dipartimento di Matematica Applicata

Chapter 8 in Mathematical Analysis, 2004, pp 297-376 from Springer

Abstract: Abstract 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.

Keywords: Lyapunov Exponent; Continue Fraction; Discrete Process; Continue Fraction Expansion; Stable Fixed Point (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-0-8176-4414-7_8

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