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Document type:
Zeitungsartikel 
Author(s):
Klüppelberg, C. and Sönmez, E. 
Title:
Max-linear models on infinite graphs generated by Bernoulli bond percolation 
Abstract:
We extend previous work of max-linear models on finite directed acyclic graphs to infinite graphs, and investigate their relations to classical percolation theory. We formulate results for the oriented square lattice graph Z^2 and nearest neighbour bond percolation. Focus is on the dependence introduced by this graph into the max-linear model. As a natural application, we consider communication networks, in particular, the distribution of extreme opinions in social networks. 
Keywords:
Bernoulli bond percolation, extreme value theory, graphical model, infinite graph, percolation, recursive max-linear model. 
Dewey Decimal Classification:
510 Mathematik 
Journal title:
Preprint 
Year:
2018 
Year / month:
2018-04 
Quarter:
2. Quartal 
Month:
Apr 
Language:
en 
WWW:
_blank 
Status:
Preprint / submitted 
TUM Institution:
Lehrstuhl für Mathematische Statistik 
Format:
Text