Peter Mörters

activity

20052026

most citedSpatial preferential attachment networks: Power laws and clustering coefficients

84 citations · 350 across the 33 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.PR2016★ 2 cited

Optimal embeddings by unbiased shifts of Brownian motion

Peter Morters, Istvan Redl

An unbiased shift of the two-sided Brownian motion $(B_{t} : t \in R)$ is a random time $T$ such that $(B_{T + t} : t \in R)$ is still a two-sided Brownian mo…

math.PR2016

Distances in scale free networks at criticality

Steffen Dereich, Christian Mönch, Peter Mörters

Scale-free networks with moderate edge dependence experience a phase transition between ultrasmall and small world behaviour when the power law exponent passes the critical value o…

math.PR2016★ 2 cited

The largest fragment of a homogeneous fragmentation process

Andreas Kyprianou, Francis Lane, Peter Mörters

We show that in homogeneous fragmentation processes the largest fragment at time $t$ has size $e^{- t Φ^{'} (p ˉ)} t^{- \frac{3}{2} (l o g Φ)^{'} (p ˉ) + o (1)},$ where $Φ$ is the Lévy expone…

math.PR2016

Non-extensive condensation in reinforced branching processes

Steffen Dereich, Cecile Mailler, Peter Morters

We study a class of branching processes in which a population consists of immortal individuals equipped with a fitness value. Individuals produce offspring with a rate given by the…