osnaDocs: Concentration Inequalities for Poisson Functionals

Concentration Inequalities for Poisson Functionals

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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016011313874

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DC Field	Value	Language
dc.contributor.advisor	Prof. Dr. Matthias Reitzner
dc.creator	Bachmann, Sascha
dc.date.accessioned	2016-01-13T14:27:11Z
dc.date.available	2016-01-13T14:27:11Z
dc.date.issued	2016-01-13T14:27:11Z
dc.identifier.uri	https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2016011313874	-
dc.description.abstract	In this thesis, new methods for proving concentration inequalities for Poisson functionals are developed. The focus is on techniques that are based on logarithmic Sobolev inequalities, but also results that are based on the convex distance for Poisson processes are presented. The general methods are applied to a variety of functionals associated with random geometric graphs. In particular, concentration inequalities for subgraph and component counts are proved. Finally, the established concentration results are used to derive strong laws of large numbers for subgraph and component counts associated with random geometric graphs.	eng
dc.subject	Poisson Point Process	eng
dc.subject	Random Graphs	eng
dc.subject	Concentration Inequalities	eng
dc.subject	Logarithmic Sobolev Inequalities	eng
dc.subject	Convex Distance	eng
dc.subject	Stochastic Geometry	eng
dc.subject	Subgraph Counts	eng
dc.subject	Component Counts	ger
dc.subject.ddc	510 - Mathematik
dc.title	Concentration Inequalities for Poisson Functionals	eng
dc.type	Dissertation oder Habilitation [doctoralThesis]	-
thesis.location	Osnabrück	-
thesis.institution	Universität	-
thesis.type	Dissertation [thesis.doctoral]	-
thesis.date	2015-12-10	-
dc.contributor.referee	Prof. Dr. Peter Eichelsbacher
dc.subject.msc	60D05 - Geometric probability, stochastic geometry, random sets
vCard.ORG	FB6
Appears in Collections:	FB06 - E-Dissertationen

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