74864

Автор(ов): 

1

Параметры публикации
Тип публикации: 
Доклад
Название: 
Extremal properties of maxima and sums in evolving networks
Электронная публикация: 
Да
ISBN/ISSN: 
2782-4705
DOI: 
10.57753/SMARTY.2023.82.79.004
Наименование конференции: 
The 4rd International Workshop on Stochastic Modeling and Applied Research of Technology (SMARTY 2023)
Наименование источника: 
Proceedings of the 4rd International Workshop on Stochastic Modeling and Applied Research of Technology (SMARTY 2023)
Обозначение и номер тома: 
3
Город: 
Petrozavodsk, Karelia Republic, Russian Federation
Издательство: 
Alexander Rumyantsev
Год издания: 
2023
Страницы: 
30-35
Аннотация
Real-world networks display a strong heterogeneity that is reflected in a heavy-tailed distribution of node influence indices. The PageRank and the Max-Linear Model may be used as node influence indices of random graphs. The present paper aims to summarize shortly some recent author's results with regard to extremal properties of maxima and sums of non-stationary random length sequences and their application to evolving networks. Under the extremal properties we understand the tail and extremal indices. The evolution of the random network by the preferential attachment is considered since it allows us to model heavy-tailed distributed node influence indices.
Библиографическая ссылка: 
Маркович Н.М. Extremal properties of maxima and sums in evolving networks / Proceedings of the 4rd International Workshop on Stochastic Modeling and Applied Research of Technology (SMARTY 2023). Petrozavodsk, Karelia Republic, Russian Federation: Alexander Rumyantsev, 2023. 3. С. 30-35.