Concentration for Poisson functionals: component counts in random geometric graphs

DOI10.1016/j.spa.2015.11.004zbMath1333.60016arXiv1506.08191OpenAlexW809334070MaRDI QIDQ265636

Sascha Bachmann

Publication date: 4 April 2016

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08191

zbMATH Keywords

random graphslogarithmic Sobolev inequalitiesPoisson point processconcentration inequalitiescomponent counts

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Random graphs (graph-theoretic aspects) (05C80) Combinatorial probability (60C05)

Related Items (4)

Concentration for Poisson \(U\)-statistics: subgraph counts in random geometric graphs ⋮ Concentration inequalities for Poisson point processes with application to adaptive intensity estimation ⋮ Restricted hypercontractivity on the Poisson space ⋮ Modified log-Sobolev inequalities, Beckner inequalities and moment estimates

Cites Work

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• Concentration bounds for geometric Poisson functionals: logarithmic Sobolev inequalities revisited
• Limit theorems for Betti numbers of random simplicial complexes
• Fine Gaussian fluctuations on the Poisson space. I: Contractions, cumulants and geometric random graphs
• Random geometric complexes in the thermodynamic regime
• Random geometric complexes
• On the one dimensional Poisson random geometric graph
• Thresholding random geometric graph properties motivated by ad hoc sensor networks
• Some properties for the largest component of random geometric graphs with applications in sensor networks
• On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures
• Probabilistic models in cluster analysis
• Concentration inequalities using the entropy method
• On logarithmic Sobolev inequalities for continuous time random walks on graphs
• A new modified logarithmic Sobolev inequality for Poisson point processes and several applications
• Fine Gaussian fluctuations on the Poisson space. II: Rescaled kernels, marked processes and geometric \(U\)-statistics
• The asymptotic distribution of random clumps
• Concentration inequalities for functions of independent variables
• Stochastic and Integral Geometry
• Random Plane Networks
• Random Geometric Graphs
• Stochastic Geometry for Wireless Networks
• Simplicial Homology of Random Configurations
• Infection Spread in Random Geometric Graphs
• Firefighting on a random geometric graph
• [https://portal.mardi4nfdi.de/wiki/Publication:5549427 Station�re zuf�llige Ma�e auf lokalkompakten Abelschen Gruppen]

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