Displaying similar documents to “Remarks on the life and research of Roland L. Dobrushin.”

A mathematical framework for learning and adaption: (generalized) random systems with complete connections.

Ulrich Herkenrath, Radu Theodorescu (1981)

Trabajos de Estadística e Investigación Operativa

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The aim of this paper is to show that the theory of (generalized) random systems with complete connection may serve as a mathematical framework for learning and adaption. Chapter 1 is of an introductory nature and gives a general description of the problems with which one is faced. In Chapter 2 the mathematical model and some results about it are explained. Chapter 3 deals with special learning and adaption models.

Lajos Takács and his work.

Dshalalow, Jewgeni H., Syski, Ryszard (1994)

Journal of Applied Mathematics and Stochastic Analysis

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The notion of randomness from Aristotle to Poincaré

O. B. Sheynin (1991)

Mathématiques et Sciences Humaines

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Aristotle and even earlier scientist and philosophers attempted to define, or at least to through light upon randomness. The author sketches the attempts to direct concept of randomness into the realm of mathematical science from Aristotle up to Poincaré. He dwells on the various interpretations of randomness that were pronounced in natural science and philosophy, and on the interrelation between necessity and randomness.