Preferential attachment graphs with co-existing types of different fitnesses

J Jordan - Journal of Applied Probability, 2018 - cambridge.org
We extend the work of Antunović et al.(2016) on competing types in preferential attachment
models to include cases where the types have different fitnesses, which may be either …

Competing types in preferential attachment graphs with community structure

J Haslegrave, J Jordan, M Yarrow - arxiv preprint arxiv:2212.13235, 2022 - arxiv.org
We extend the two-type preferential attachment model of Antunovi\'c, Mossel and R\'acz to
networks with community structure. We show that different types of limiting behaviour can be …

[PDF][PDF] Evolving random graphs in random environment

B Lodewijks - 2021 - researchportal.bath.ac.uk
This thesis is concerned with two classes of evolving random graph models in random
environment: preferential attachment models with additive fitness, as originally defined in …

A journey down the rabbit hole: pondering preferential attachment models with location

M Yarrow - 2019 - etheses.whiterose.ac.uk
We investigate the use of stochastic approximation as a method of identifying conditions
necessary to facilitate condensation and coexistence. We did this for a variety of preferential …

Fragility of nonconvergence in preferential attachment graphs with three types

B Andrews, J Jordan - Involve, a Journal of Mathematics, 2021 - msp.org
Preferential attachment networks are a type of random network where new nodes are
connected to existing ones at random and are more likely to connect to those that already …

Coalescence model of rock-paper-scissors particles

Y Itoh - Physica A: Statistical Mechanics and its Applications, 2024 - Elsevier
The rock–paper–scissors game, commonly played in East Asia, gives a simple model to
understand physical, biological, psychological, and other problems. The interacting rock …