Finite particle systems and infection models
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Publication:3317877
DOI10.1017/S0305004100060989zbMath0534.60095MaRDI QIDQ3317877
Peter Donnelly, Dominic J. A. Welsh
Publication date: 1983
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Related Items (20)
Directionality of contact networks suppresses selection pressure in evolutionary dynamics ⋮ Clustering as a dual problem to colouring ⋮ A Random Recolouring Method for Graphs and Hypergraphs ⋮ A randomised 3-colouring algorithm ⋮ On the long term behavior of some finite particle systems ⋮ Random walks and diffusion on networks ⋮ Phase transition of the \(k\)-majority dynamics in biased communication models ⋮ Global information from local observations of the noisy voter model on a graph ⋮ Biased opinion dynamics: when the devil is in the details ⋮ A note on maximizing the spread of influence in social networks ⋮ Probabilistic consensus via polling and majority rules ⋮ Meeting times for independent Markov chains ⋮ Analysis of node2vec random walks on networks ⋮ Reaching consensus on a connected graph ⋮ A randomised heuristical algorithm for estimating the chromatic number of a graph ⋮ Discordant voting protocols for cyclically linked agents ⋮ Competing first passage percolation on random regular graphs ⋮ Distributed probabilistic polling and applications to proportionate agreement ⋮ Reachability and recurrence in a modular generalization of annihilating random walks (and Lights-Out games) to hypergraphs ⋮ Local majorities, coalitions and monopolies in graphs: A review
Cites Work
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- Clustering and dispersion rates for some interacting particle systems of \(Z^1\)
- An introduction to infinite particle systems
- Ergodic theorems for weakly interacting infinite systems and the voter model
- Additive set-valued Markov processes and graphical methods
- Additive and cancellative interacting particle systems
- Nearest-neighbor Markov interaction processes on multidimensional lattices
- Asymptotics for interacting particle systems onZ d
- The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
- THE RANDOM WALK [IN CONTINUOUS TIME AND ITS APPLICATION TO THE THEORY OF QUEUES]
- Some aspects of the non-asymptotic behaviour of a two-dimensional invasion process
- A model for spatial conflict
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