Time-Scale Invariance in Transport and Relaxation

1991/01/01 by Harvey Scher, H. Scher, Michael F. Shlesinger +1 · 534 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bernoulli's principle #Computer science #Economics #Epistemology #Fractional Differential Equations Solutions #Mathematical economics #Philosophy #Physics #Quantum mechanics #Scale (ratio) #Statistical Mechanics and Entropy #Theme (computing) #Theoretical physics #Thermodynamics

paper · doi:10.1063/1.881289

published in Physics Today 44(1), 26-34 (AIP Publishing)

openalex publication_date 1991/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An early theme in probability was calculating the fair ante for various games of chance. Nicolas Bernoulli introduced a seemingly innocent game, first published in 1713, that yielded a paradoxical result. The result has become known as the St. Petersburg paradox, because of an analysis written later by Daniel Bernoulli in the Commentary of the St. Petersburg Academy.

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