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Probability as typicality

2006/11/17 by Sérgio B. Volchan, Volchan, Sergio B. · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #History and Philosophy of Physics (physics.hist-ph) #Statistical Mechanics and Entropy #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.physics/0611172

openalex publication_date 2006/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The concept of typicality refers to properties holding for the "overwhelming majority" of cases and is a fundamental idea of the qualitative approach to dynamical problems. We argue that measure-theoretical typicality would be the adequate viewpoint of the role of probability in classical statistical mechanics, particularly in understanding the micro to macroscopic change of levels of description.

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