Abstract
We propose an “informational time” concerning some stochastic dynamical systems where there is an uncertainty on the state of the system or the space localization of a phenomenon. In each case the informational time is defined by the increase of a Shannon's informational entropy, formulated either exactly or asymptotically or in the case of Laplace-Gauss probability densities. After giving some remarks on Shannon's informational entropy, three examples are considered: a linear differential system with uncertain initial state, a “stochastic systemswith diffusion”, and a quantum system. The informational times proposed are expressed, in terms of classical time t, by the integral of a positive function of t, the logarithm of the square root of t and the logarithm of t.
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© 1995 Springer-Verlag Berlin Heidelberg
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Vallée, R. (1995). Informational time. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Advances in Intelligent Computing — IPMU '94. IPMU 1994. Lecture Notes in Computer Science, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035958
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DOI: https://doi.org/10.1007/BFb0035958
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