Discrete versions of the transport equation and the Shepp-Olkin conjecture

DOI10.1214/14-AOP973zbMath1348.60139arXiv1303.3381WikidataQ60522082 ScholiaQ60522082MaRDI QIDQ272953

Erwan Hillion, Oliver Johnson

Publication date: 21 April 2016

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.3381

zbMATH Keywords

entropyconcavityBernoulli sumsdiscrete transport equationShepp-Olkin conjecture

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Measures of information, entropy (94A17)

Related Items (3)

A discrete log-Sobolev inequality under a Bakry-Émery type condition ⋮ On the Maximum Entropy of a Sum of Independent Discrete Random Variables ⋮ A proof of the Shepp-Olkin entropy monotonicity conjecture

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