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- Transfer_operator abstract "The transfer operator is different from the transfer homomorphism.In mathematics, the transfer operator encodes information about an iterated map and is frequently used to study the behavior of dynamical systems, statistical mechanics, quantum chaos and fractals. The transfer operator is sometimes called the Ruelle operator, after David Ruelle, or the Ruelle–Perron–Frobenius operator in reference to the applicability of the Frobenius–Perron theorem to the determination of the eigenvalues of the operator.The iterated function to be studied is a map for an arbitrary set . The transfer operator is defined as an operator acting on the space of functions as where is an auxiliary valuation function. When has a Jacobian determinant, then is usually taken to be .The above definition of the transfer operator can be shown to be the point-set limit of the measure-theoretic pushforward of g: in essence, the transfer operator is the direct image functor in the category of measurable spaces. The left-adjoint of the Frobenius–Perron operator is the Koopman operator or composition operator.".
- Transfer_operator wikiPageExternalLink 137zeta.pdf.
- Transfer_operator wikiPageID "1346096".
- Transfer_operator wikiPageRevisionID "575508702".
- Transfer_operator hasPhotoCollection Transfer_operator.
- Transfer_operator subject Category:Chaos_theory.
- Transfer_operator subject Category:Dynamical_systems.
- Transfer_operator subject Category:Operator_theory.
- Transfer_operator subject Category:Spectral_theory.
- Transfer_operator type Abstraction100002137.
- Transfer_operator type Attribute100024264.
- Transfer_operator type DynamicalSystem106246361.
- Transfer_operator type DynamicalSystems.
- Transfer_operator type PhaseSpace100029114.
- Transfer_operator type Space100028651.
- Transfer_operator comment "The transfer operator is different from the transfer homomorphism.In mathematics, the transfer operator encodes information about an iterated map and is frequently used to study the behavior of dynamical systems, statistical mechanics, quantum chaos and fractals.".
- Transfer_operator label "Opérateur de transfert".
- Transfer_operator label "Transfer operator".
- Transfer_operator label "転送作用素".
- Transfer_operator sameAs Opérateur_de_transfert.
- Transfer_operator sameAs 転送作用素.
- Transfer_operator sameAs m.04vj3y.
- Transfer_operator sameAs Q3354606.
- Transfer_operator sameAs Q3354606.
- Transfer_operator sameAs Transfer_operator.
- Transfer_operator wasDerivedFrom Transfer_operator?oldid=575508702.
- Transfer_operator isPrimaryTopicOf Transfer_operator.