# Decay in norm of transfer operators for semiflows

@article{Melbourne2022DecayIN, title={Decay in norm of transfer operators for semiflows}, author={Ian Melbourne and Nicolo Paviato and Dalia Terhesiu}, journal={Studia Mathematica}, year={2022} }

We establish exponential decay in Hölder norm of transfer operators applied to smooth observables of uniformly and nonuniformly expanding semiflows with exponential decay of correlations.

## References

SHOWING 1-10 OF 36 REFERENCES

### Nonexistence of spectral gaps in Hölder spaces for continuous time dynamical systems

- MathematicsIsrael Journal of Mathematics
- 2021

We show that there is a natural restriction on the smoothness of spaces where the transfer operator for a continuous dynamical system has a spectral gap. Such a space cannot be embedded in a Hölder…

### Probability and Analysis in Interacting Physical Systems

- PhysicsSpringer Proceedings in Mathematics & Statistics
- 2019

### Ergodic properties of invariant measures for piecewise monotonic transformations

- Mathematics
- 1982

During the last decade a lot of research has been done on onedimensional dynamics. Different kinds of invariant measures for certain classes of piecewise monotonic transformations have been…

### GIBBS MEASURES IN ERGODIC THEORY

- Mathematics
- 1972

In this paper we introduce the concept of a Gibbs measure, which generalizes the concept of an equilibrium Gibbs distribution in statistical physics. The new concept is important in the study of…

### Generalized bounded variation and applications to piecewise monotonic transformations

- Mathematics
- 1985

SummaryWe prove the quasi-compactness of the Perron-Frobenius operator of piecewise monotonic transformations when the inverse of the derivative is Hölder-continuous or, more generally, of bounded…

### LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS

- Mathematics
- 2001

We introduce Gibbs–Markov maps T as maps with a (possibly countable) Markov partition and a certain type of bounded distortion property, and investigate its Frobenius–Perron operator P acting on…

### Absolutely continuous invariant measures for piecewise expandingC2 transformations inRN

- Mathematics
- 1989

LetS be a bounded region inRN and let ℊ={Si}i=1/m be a partition ofS into a finite number of subsets having piecewiseC2 boundaries. We assume that whereC2 segments of the boundaries meet, the angle…

### An Introduction to Stochastic Integration

- Mathematics
- 2011

The aim of this appendix is to provide all necessary definition and results with respect to Martingales and stochastic integration. Since some of the underlying properties and theorems require a lot…