Variation on a theme by Bobylëv and Villani

Daniel Matthes; Giuseppe Toscani

doi:10.1016/j.crma.2011.12.010

Variation on a theme by Bobylëv and Villani

Daniel Matthes, Giuseppe Toscani

Associate Professorship of Dynamic Systems

University of Pavia

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

It is shown that the collisional gain operator for a Maxwell gas does not increase the Fisher information. Our proof is a variant of the one given by Villani in 1998 [2], but it is shorter and based on Fourier techniques rather than direct estimates. The method we use also applies to general (non-symmetric) Wild convolutions.

Original language	English
Pages (from-to)	107-110
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	350
Issue number	1-2
DOIs	https://doi.org/10.1016/j.crma.2011.12.010
State	Published - Jan 2012

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abstract = "It is shown that the collisional gain operator for a Maxwell gas does not increase the Fisher information. Our proof is a variant of the one given by Villani in 1998 [2], but it is shorter and based on Fourier techniques rather than direct estimates. The method we use also applies to general (non-symmetric) Wild convolutions.",

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AB - It is shown that the collisional gain operator for a Maxwell gas does not increase the Fisher information. Our proof is a variant of the one given by Villani in 1998 [2], but it is shorter and based on Fourier techniques rather than direct estimates. The method we use also applies to general (non-symmetric) Wild convolutions.

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Variation on a theme by Bobylëv and Villani

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