Poisson processes and a log-concave Bernstein theorem

DOI10.4064/sm180212-30-7zbMath1453.26021arXiv1802.04176OpenAlexW2962962388WikidataQ128983355 ScholiaQ128983355MaRDI QIDQ5742244

Bo'az Klartag, Joseph Lehec

Publication date: 13 May 2019

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04176

zbMATH Keywords

Laplace transformPoisson processeslog-concave measureslog-concave sequences

Mathematics Subject Classification ID

Laplace transform (44A10) Inequalities for sums, series and integrals (26D15)

Related Items

An analytic approach to cardinalities of sumsets ⋮ Brunn-Minkowski type inequalities for the lattice point enumerator ⋮ Entropy-variance inequalities for discrete log-concave random variables via degree of freedom ⋮ On Rogers–Shephard-type inequalities for the lattice point enumerator ⋮ On a characterization of lattice cubes via discrete isoperimetric inequalities ⋮ A discrete complement of Lyapunov's inequality and its information theoretic consequences ⋮ Geometric and functional inequalities for log-concave probability sequences ⋮ On discrete Brunn-Minkowski and isoperimetric type inequalities ⋮ Transport proofs of some discrete variants of the Prékopa-Leindler inequality ⋮ Discrete variants of Brunn-Minkowski type inequalities ⋮ On discrete \(L_p\) Brunn-Minkowski type inequalities ⋮ Entropic curvature on graphs along Schrödinger bridges at zero temperature

Cites Work

• Unnamed Item
• Unnamed Item
• Duality formulas on the Poisson space