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, 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.

Variation over a theme by Bobylev and Villani

TOSCANI, GIUSEPPE
2012-01-01

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, 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.
2012
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Esperti anonimi
Inglese
Internazionale
STAMPA
350
1-2
107
110
4
BOLTZMANN EQUATION; FISHER INFORMATION; MAXWELL MOLECULES
http://www.sciencedirect.com/science/journal/1631073X
2
info:eu-repo/semantics/article
262
Matthes, Daniel; Toscani, Giuseppe
1 Contributo su Rivista::1.1 Articolo in rivista
none
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/333325
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