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In the mathematical theory of probability, the voter model is an interacting particle system introduced by Richard A. Holley and Thomas M. Liggett in 1975. One can imagine that there is a "voter" at each point on a connected graph, where the connections indicate that there is some form of interaction between a pair of voters (nodes). The opinions of any given voter on some issue changes at random times under the influence of opinions of his neighbours. A voter's opinion at any given time can take one of two values, labelled 0 and 1. At random times, a random individual is selected and that voter's opinion is changed according to a stochastic rule. Specifically, for one of the chosen voter's neighbors is chosen according to a given set of probabilities and that individual's opinion is trans

Attributes	Values
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rdfs:label	Voter model (en)
rdfs:comment	In the mathematical theory of probability, the voter model is an interacting particle system introduced by Richard A. Holley and Thomas M. Liggett in 1975. One can imagine that there is a "voter" at each point on a connected graph, where the connections indicate that there is some form of interaction between a pair of voters (nodes). The opinions of any given voter on some issue changes at random times under the influence of opinions of his neighbours. A voter's opinion at any given time can take one of two values, labelled 0 and 1. At random times, a random individual is selected and that voter's opinion is changed according to a stochastic rule. Specifically, for one of the chosen voter's neighbors is chosen according to a given set of probabilities and that individual's opinion is trans (en)
dcterms:subject	Lattice models Stochastic models
Wikipage page ID	35998199 (xsd:integer)
Wikipage revision ID	1056290700 (xsd:integer)
Link from a Wikipage to another Wikipage	Almost surely Interacting particle system Invariant measure Contact process (mathematics) Thomas M. Liggett Ergodic process Duality (mathematics) Probability Lattice models Stochastic models Chebyshev's inequality Borel–Cantelli lemma Random walk Markov chain Sequential dynamical system Stochastic cellular automata dbr:File:Voter_model_with_two_clusters.pdf
Link from a Wikipage to an external page	https://archive.org/details/interactingparti0000ligg
sameAs	Voter model Voter model Voter model Voter model
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Cite_journal dbt:Clarify dbt:Div_col dbt:Div_col_end dbt:More_footnotes dbt:Refbegin dbt:Refend dbt:Reflist
has abstract	In the mathematical theory of probability, the voter model is an interacting particle system introduced by Richard A. Holley and Thomas M. Liggett in 1975. One can imagine that there is a "voter" at each point on a connected graph, where the connections indicate that there is some form of interaction between a pair of voters (nodes). The opinions of any given voter on some issue changes at random times under the influence of opinions of his neighbours. A voter's opinion at any given time can take one of two values, labelled 0 and 1. At random times, a random individual is selected and that voter's opinion is changed according to a stochastic rule. Specifically, for one of the chosen voter's neighbors is chosen according to a given set of probabilities and that individual's opinion is transferred to the chosen voter. An alternative interpretation is in terms of spatial conflict. Suppose two nations control the areas (sets of nodes) labelled 0 or 1. A flip from 0 to 1 at a given location indicates an invasion of that site by the other nation. Note that only one flip happens each time. Problems involving the voter model will often be recast in terms of the dual system of coalescing Markov chains. Frequently, these problems will then be reduced to others involving independent Markov chains. (en)
gold:hypernym	Process
prov:wasDerivedFrom	wikipedia-en:Voter_model?oldid=1056290700&ns=0
page length (characters) of wiki page	23914 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Voter_model
is Link from a Wikipage to another Wikipage of	Interacting particle system List of probability topics Quasi-stationary distribution Sznajd model Thomas M. Liggett 2016 United States presidential election Global cascades model Brownian web Evolutionary graph theory Fleming–Viot process Voter models
is Wikipage redirect of	Voter models
is foaf:primaryTopic of	wikipedia-en:Voter_model

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