The contact process on scale-free networks evolving by vertex updating

Autor: Emmanuel Jacob, Peter Mörters

Publikováno v: Royal Society Open Science, Vol 4, Iss 5 (2017)

We study the contact process on a class of evolving scale-free networks, where each node updates its connections at independent random times. We give a rigorous mathematical proof that there is a transition between a phase where for all infection rat

Externí odkaz: https://doaj.org/article/0b9b7973cad94bf983af9e9b64b08d55

Trends in Stochastic Analysis

Autor: Jochen Blath, Peter Mörters, Michael Scheutzow

Presenting important trends in the field of stochastic analysis, this collection of thirteen articles provides an overview of recent developments and new results. Written by leading experts in the field, the articles cover a wide range of topics, ran

Optimal embeddings by unbiased shifts of Brownian motion

Autor: Peter Mörters, Istvan Redl

Publikováno v: Bulletin of the London Mathematical Society. 49:331-341

An unbiased shift of the two-sided Brownian motion (Bt:t∈R) is a random time T such that (BT+t:t∈R) is still a two-sided Brownian motion. Given a pair μ,ν of orthogonal probability measures, an unbiased shift T solves the embedding problem, if

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c0a3e757149df5aab067c544699e6ace
https://doi.org/10.1112/blms.12030

Transience versus recurrence for scale-free spatial networks

Autor: Peter Gracar, Markus Heydenreich, Peter Mörters, Christian Mönch

Publikováno v: Lecture Notes in Computer Science ISBN: 9783030484774
WAW

Weight-dependent random connection graphs are a class of local network models that combine scale-free degree distribution, small-world properties and clustering. In this paper we discuss recurrence or transience of these graphs, features that are rel

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::790d7ee65213f972f5858cea0fad8222
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/103791

Competing growth processes with random growth rates and random birth times

Autor: Peter Mörters, Cécile Mailler, Anna Senkevich

Publikováno v: Mailler, C, Mörters, P & Senkevich, A 2021, ' Competing growth processes with random growth rates and random birth times ', Stochastic Processes and their Applications, vol. 135, pp. 183-226 . https://doi.org/10.1016/j.spa.2021.02.003

Finding the most powerful node in a dynamic random network, the largest set in a partition-valued stochastic process, or the largest family in an evolving population at a given time, can be a very difficult problem. This is particularly the case when

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30883da2ca5933585c621328cb4b7be6
http://arxiv.org/abs/1909.07690