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

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


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/19723

Title :	Discrete versions of the transport equation and the Shepp-Olkin conjecture
Language :	English
Author, co-author :	Hillion, Erwan [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Johnson, Oliver []
Publication date :	2016
Journal title :	Annals of Probability
Publisher :	Institute of Mathematical Statistics
Volume :	44
Issue/season :	1
Pages :	276-306
Peer reviewed :	Yes (verified by ORBi^lu)
Audience :	International
ISSN :	0091-1798
e-ISSN :	2168-894X
City :	Beachwood
Country :	OH
Keywords :	[en] entropy ; transportation of measures ; Bernoulli sums
Abstract :	[en] We introduce a framework to consider transport problems for integer-valued random variables. We introduce weighting coeffcients which allow us to characterise transport problems in a gradient now setting, and form the basis of our introduction of a discrete version of the Benamou--Brenier formula. Further, we use these coeffcients to state a new form of weighted log-concavity. These results are applied to prove the monotone case of the Shepp--Olkin entropy concavity conjecture.
Research centres :	University of Bristol
Funders :	EPSRC grant, Information Geometry of Graphs, reference EP/I009450/1.
Permalink :	http://hdl.handle.net/10993/19723
DOI :	10.1214/14-AOP973
Other URL :	http://www.imstat.org/aop/future_papers.htm

File(s) associated to this reference

Fulltext file(s):

	File	Commentary	Version	Size	Access
Open access	HillionJohnson2015.pdf		Publisher postprint	366.94 kB	View/Open

All documents in ORBi^lu are protected by a user license.