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20242026
most citedA Unifying Theory of Aging and Mortality

1 citations · 1 across the 3 of their papers we have counts for

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math.PR2026

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…

math.PR2025

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…

math.PR2025

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…

math.PR2025

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…

math.PR2025

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…

math.PR2024

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…