T. Dauxois' "Non-Gaussian distributions under scrutiny" under scrutiny

TL;DR

This paper critically reviews T. Dauxois's work on non-Gaussian distributions, providing a brief overview of nonextensive statistical mechanics and addressing inaccuracies in the original paper.

Contribution

It offers a critical analysis of Dauxois's paper, clarifying misconceptions and summarizing the state-of-the-art in nonextensive statistical mechanics.

Findings

Highlights inaccuracies in Dauxois's paper

Provides a concise review of nonextensive statistical mechanics

Clarifies misconceptions about non-Gaussian distributions

Abstract

A recent paper by T. Dauxois entitled "Non-Gaussian distributions under scrutiny" is submitted to scrutiny. Several comments on its content are made, which constitute, at the same time, a brief state-of-the-art review of nonextensive statistical mechanics, a current generalization of the Boltzmann-Gibbs theory. Some inadvertences and misleading sentences are pointed out as well.