Transfer Operators, Endomorphisms, and Measurable Partitions

Transfer Operators, Endomorphisms, and Measurable Partitions

Bezuglyi, Sergey; Jorgensen, Palle E. T.

Springer International Publishing AG

06/2018

162

Mole

Inglês

9783319924168

15 a 20 dias

2701

Descrição não disponível.
1. Introduction and Examples.- 2. Endomorphisms and Measurable Partitions.- 3. Positive, and Transfer, Operators on Measurable Spaces: general properties.- 4.Transfer Operators on Measure Spaces.- 5. Transfer operators on L1 and L2.- 6. Actions of Transfer Operators on the set of Borel Probability Measures.- 7. Wold's Theorem and Automorphic Factors of Endomorphisms.- 8. Operators on the Universal Hilbert Space Generated by Transfer Operators.- 9. Transfer Operators with a Riesz Property.- 10. Transfer Operators on the Space of Densities.- 11. Piecewise Monotone Maps and the Gauss Endomorphism.- 12. Iterated Function Systems and Transfer Operators.- 13. Examples.
Endomorphisms of Measure Spaces;Transfer Operators;Invariant Measures;Measurable Partitions;Harmonic Functions