n-dimensional transformations and invariant measures

DOI10.1016/S0362-546X(97)00359-3zbMath0918.47036MaRDI QIDQ4378793

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Publication date: 19 August 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

finite-dimensional approximationsFrobenius-Perron operatorunique fixed pointUlam conjecturenonsingular Jablonski transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65)

Cites Work

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• Projection solutions of Frobenius-Perron operator equations
• High order approximation of the Frobenius-Perron operator
• Minimal projections in \(\mathcal L_1\)-spaces
• Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture
• Markov finite approximation of Frobenius-Perron operator with doubly-stochastic tridiagonal action matrix
• On invariant measures for piecewise $C^2$-transformations of the n-dimensional cube
• Markov finite approximation of Frobenius-Perron operator

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