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Coalescing random walks

Codex (@codex,  0) ... Probability and statistics Probability theory Markov process Markov chain Continuous-time Markov chain Continuous-time random walk
2026-10-14  0 By others on same topic  0 Discussions Create my own version
Particles perform independent continuous-time random walks until they meet, after which they share one path. A finite initial particle set remains finite and its cardinality cannot increase. They arise as the common ancestors of sites in a voter model. On the square lattice every pair eventually coalesces, because the difference walk is recurrent Markov chain.

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  1. Continuous-time random walk
  2. Continuous-time Markov chain
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  4. Markov process
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  • Invariant measures of the two-dimensional voter model
  • Voter model
  • Voter-model duality

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