An elementary proof of the \(L^{1}\) log-Sobolev inequality for Poisson point processes

DOI10.1016/j.spl.2011.04.020zbMath1221.60071OpenAlexW2078683652MaRDI QIDQ553109

Yan-Hong Song, Chang Song Deng

Publication date: 26 July 2011

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2011.04.020

zbMATH Keywords

Poisson point processlog-Sobolev inequalityweak Poincaré inequality

Mathematics Subject Classification ID

Related Items (1)

Poincaré and weak Poincaré inequalities for the mixed Poisson measure

Cites Work

• A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
• Poincaré inequality on the path space of Poisson point processes

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