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Transfer operator

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. In all usual cases, the largest eigenvalue is 1, and the corresponding eigenvector is the invariant measure of the system.

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Transfer operator

Nodes42
Edges41
Triples46
Avg. degree1.95
Density0.047619
Components1

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Transfer operator

Top relations

related to References · 36
Transfer operator → Addison, AMS, Bibcode, Cambridge University Press, Chaos, David, Dieter, Dynamical Zeta Functions, Euler, Gaspard, Gen, ISBN, L483, L485, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Mackey, Math, Mayer
has application · 7
Transfer operator → For, Frobenius, In, It, Perron, Thus, Whereas
related to Definition · 2
Transfer operator → Phi, The
is a · 1
Transfer operator → direct image functor in the category of measurable spaces

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Important terminology

operator transfer statistical mechanics eigenvalues displaystyle isbn function map chaos usually quantum called ruelle david perron frobenius fractals studied functions

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Transfer operatoris adirect image functor in the category of measurable spaces0.90text
Transfer operatorhas applicationWhereas0.60section
Transfer operatorhas applicationThus0.60section
Transfer operatorhas applicationIn0.60section
Transfer operatorhas applicationIt0.60section
Transfer operatorhas applicationFor0.60section
Transfer operatorhas applicationFrobenius0.60section
Transfer operatorhas applicationPerron0.60section
Transfer operatorrelated to DefinitionThe0.60section
Transfer operatorrelated to DefinitionPhi0.60section
Transfer operatorrelated to ReferencesLock-green0.60section
Transfer operatorrelated to ReferencesLock-gray-alt-20.60section

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