1 citations · 1 across the 5 of their papers we have counts for
7 papers
Renormalisation of Inhomogeneous Random Graphs
Luca Avena, Diego Garlaschelli, Rajat Subhra Hazra +1
We consider inhomogeneous random graphs in which vertices are assigned i.i.d.\ random weights, pairs of distinct vertices are connected by an edge independently with a probability…
Self-Reinforced Preferential Attachment
Yogesh Dahiya, Frank den Hollander
We consider a preferential attachment random graph with self-reinforcement. Each time a new vertex comes in, it attaches itself to an old vertex with a probability that is proporti…
On the principal eigenvectors of random Markov matrices
Jacob Calvert, Frank den Hollander, Dana Randall
We analyze the invariant distributions of continuous-time and discrete-time random walks on randomly weighted complete digraphs. These distributions correspond to the principal lef…
Co-evolving vertex and edge dynamics in dense graphs
Siva Athreya, Frank den Hollander, Adrian Röllin
We consider a random graph in which vertices can have one of two possible colours. Each vertex switches its colour at a rate that is proportional to the number of vertices of the o…
The voter model on random regular graphs with random rewiring
Luca Avena, Rangel Baldasso, Rajat Subhra Hazra +2
We consider the voter model with binary opinions on a random regular graph with vertices of degree , subject to a rewiring dynamics in which pairs of edges are rewire…
A Unifying Theory of Aging and Mortality
Valentin Flietner, Bernd Heidergott, Frank den Hollander +3
In this paper, we advance the network theory of aging and mortality by developing a causal mathematical model for the mortality rate. First, we show that in large networks, where h…
Mixing of fast random walks on dynamic random permutations
Luca Avena, Remco van der Hofstad, Frank den Hollander +1
We analyse the mixing profile of a random walk on a dynamic random permutation, focusing on the regime where the walk evolves much faster than the permutation. Two types of dynamic…