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- Titel:
Max-linear models in random environment
- Dokumenttyp:
- Zeitungsartikel
- Autor(en):
- Klüppelberg, C.; Sönmez, E.
- 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.
- Stichworte:
- Bernoulli bond percolation, extreme value theory, graphical model, infinite graph, percolation, recursive max-linear model.
- Dewey Dezimalklassifikation:
- 510 Mathematik
- Zeitschriftentitel:
- Preprint
- Jahr:
- 2022
- Jahr / Monat:
- 2022-03
- Quartal:
- 1. Quartal
- Monat:
- Mar
- Sprache:
- en
- Status:
- Preprint / submitted
- TUM Einrichtung:
- Lehrstuhl für Mathematische Statistik
- Format:
- Text
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