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A Markov partition in mathematics is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic dynamics. By using a Markov partition, the system can be made to resemble a discrete-time Markov process, with the long-term dynamical characteristics of the system represented as a Markov shift. The appellation 'Markov' is appropriate because the resulting dynamics of the system obeys the Markov property. The Markov partition thus allows standard techniques from symbolic dynamics to be applied, including the computation of expectation values, correlations, topological entropy, , Fredholm determinants and the like.

Attributes	Values
rdf:type	software
rdfs:label	Markov partition (en)
rdfs:comment	A Markov partition in mathematics is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic dynamics. By using a Markov partition, the system can be made to resemble a discrete-time Markov process, with the long-term dynamical characteristics of the system represented as a Markov shift. The appellation 'Markov' is appropriate because the resulting dynamics of the system obeys the Markov property. The Markov partition thus allows standard techniques from symbolic dynamics to be applied, including the computation of expectation values, correlations, topological entropy, , Fredholm determinants and the like. (en)
sameAs	Markov partition Markov partition
dbp:wikiPageUsesTemplate	dbt:Citation_needed dbt:Cite_book dbt:Reflist dbt:Technical
Subject	Diffeomorphisms Dynamical systems Symbolic dynamics Markov models
gold:hypernym	Pack saddle
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Markov_partition?oldid=1061621980&ns=0
Wikipage page ID	11491735 (xsd:integer)
page length (characters) of wiki page	6462 (xsd:nonNegativeInteger)
Wikipage revision ID	1061621980 (xsd:integer)
Link from a Wikipage to another Wikipage	Anosov diffeomorphism Yakov Sinai Cambridge University Press Diffeomorphisms Dynamical systems Symbolic dynamics Fredholm determinant Markov models Hyperbolic set Rufus Bowen Shift operator Springer Science+Business Media Correlation Cover (topology) Dynamical billiards Dynamical system Heteroclinic orbit Homoclinic orbit Symbolic dynamics Expected value Invariant manifold Stable manifold Subshift of finite type Topological entropy Toroid Markov chain Markov property Mathematics dbr:Topological_zeta_function
has abstract	A Markov partition in mathematics is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic dynamics. By using a Markov partition, the system can be made to resemble a discrete-time Markov process, with the long-term dynamical characteristics of the system represented as a Markov shift. The appellation 'Markov' is appropriate because the resulting dynamics of the system obeys the Markov property. The Markov partition thus allows standard techniques from symbolic dynamics to be applied, including the computation of expectation values, correlations, topological entropy, , Fredholm determinants and the like. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Markov_partition
is Link from a Wikipage to another Wikipage of	List of things named after Andrey Markov Axiom A Benjamin Weiss Bernoulli scheme List of probability topics Heteroclinic orbit Homoclinic orbit
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Markov_partition

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