Titlebook: Noise Theory and Application to Physics; From Fluctuations to Philippe Réfrégier Textbook 2004 Springer Science+Business Media New York 200

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s). The first volume, .Synthesis of FiniteState Machines:. .Functional Optimization., addresses functionaloptimization, whereas this one addresses logic optimization. Theresult of functional optimization is a symbolic description of an FSMwhich represents a sequential function chosen from a collecti

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Random Variables,be a perfectly deterministic phenomenon, and yet a description of the measured quantities in terms of random variables can be extremely productive. If a mathematical theory is judged by its results, there can be no doubt that this is a very useful approach. In this book, we shall discuss this theory

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Limit Theorems and Fluctuations,t random variables distributed according to the same probability density functions and not too widely scattered in the sense that they have a finite second moment, then the new random variable obtained in this way will be described to a good approximation by a Gaussian random variable. This property

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Information and Fluctuations,ciences only relatively recently, since it was formalized in the years 1945–1948 by Shannon in order to tackle the technical problems of communication. In actual fact, it was already implicitly present in the idea of entropy introduced by Boltzmann at the end of the nineteenth century. As we shall s

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Thermodynamic Fluctuations, is possible to analyze some of their properties without having to determine the exact configuration of all the particles in the system. For this purpose, when the physical system is in thermodynamic equilibrium, we must first determine the probability law for finding it in a given state. We shall t

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Statistical Estimation,e very question of statistical estimation seems superfluous in the first instance. However, every time we need to determine a parameter from experimental measurements, the task can be analyzed as a problem of statistical estimation. In this context, estimation involves making the best possible use o

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