Concentration for Poisson functionals: Component counts in random geometric graphs-Reference-Cited by-同舟云学术

Concentration for Poisson functionals: Component counts in random geometric graphs

Published:2016-05 Issue:5 Volume:126 Page:1306-1330
ISSN:0304-4149
Container-title:Stochastic Processes and their Applications
language:en
Short-container-title:Stochastic Processes and their Applications

Author:

Bachmann Sascha

Funder

German Research Foundation

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability

Reference29 articles.

1. On logarithmic Sobolev inequalities for continuous time random walks on graphs;Ané;Probab. Theory Related Fields,2000

2. S. Bachmann, G. Peccati, Concentration bounds for geometric Poisson functionals: Logarithmic sobolev inequalities revisited, Preprint, 2015. arXiv:1504.03138 [math.PR].

3. S. Bachmann, M. Reitzner, Concentration for Poisson u-statistics: Subgraph counts in random geometric graphs, Preprint, 2015. arXiv:1504.07404 [math.PR].

4. Firefighting on a random geometric graph;Barghi;Random Structures Algorithms,2015

5. On modified logarithmic Sobolev inequalities for Bernoulli and Poisson measures;Bobkov;J. Funct. Anal.,1998

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