Fisher Information in Kinetic Theory
2025/01/01 by Cédric Villani, Villani, Cédric · 5 voices · 4 citations
#math.AP #math-ph
paper · pdf · doi:10.48550/arxiv.2501.00925
Abstract
These notes review the theory of Fisher information, especially its use in kinetic theory of gases and plasmas. The recent monotonicity theorem by Guillen--Silvestre for the Landau--Coulomb equation is put in perspective and generalised. Following my joint work with Imbert and Silvestre, it is proven that Fisher information is decaying along the spatially homogeneous Boltzmann equation, for all relevant interactions, and from this the once longstanding problem of regularity estimates for very singular collision kernels (very soft potentials) is solved.
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- Looks to be a really nice read; clear that the man enjoys writing! arxiv.org/abs/2501.00925 'Fisher Information in Kinetic Theory' - Cédric Villani [bsky, 54 points, 2 comments]
- Oooh arxiv.org/abs/2501.00925 [bsky, 7 points, 0 comments]
- For those interested, it happened on January 1st, there: arxiv.org/pdf/2501.00925 [bsky, 1 points, 0 comments]
- Fisher Information in Kinetic Theory [hn, 1 points, 0 comments]
- "on this occasion I consider it fair to thank the french politicians … who ensured, willingly or unwillingly, my defeat at the 2022 French Parliamentary elections, even though by a statistically nonsi [bsky, 0 points, 0 comments]
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