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SOFSEM
2009
Springer

Randomness and Determination, from Physics and Computing towards Biology

10 years 3 months ago
Randomness and Determination, from Physics and Computing towards Biology
In this text we will discuss different forms of randomness in Natural Sciences and present some recent results relating them. In finite processes, randomness differs in various theoretical context, or, to put it otherwise, there is no unifying notion of finite time randomness. In particular, we will introduce, classical (dynamical), quantum and algorithmic randomness. In physics, differing probabilities, as a measure of randomness, evidentiate the differences between the various notions. Yet, asymptotically, one is universal: Martin-Löf randomness provides a clearly defined and robust notion of randomness for infinite sequences of numbers. And this is based on recursion theory, that is the theory of effective computability. As a recurring issue, the question will be raised of what randomenss means in biology, phylogenesis in particular. Finally, hints will be given towards a thesis, relating finite time randomness and time irreversibility in physical processes1 .
Giuseppe Longo
Added 27 Jul 2010
Updated 27 Jul 2010
Type Conference
Year 2009
Where SOFSEM
Authors Giuseppe Longo
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