An empirical central limit theorem for intermittent maps
β Scribed by J. Dedecker
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 229 KB
- Volume
- 148
- Category
- Article
- ISSN
- 1432-2064
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper provides an empirical central limit theorem (CLT) for exchangeable random variables when the norming constants in the regular CLT are β nh(n) with h(n) a slowly varying function. The situation with norming constants of the form nh(n) is also discussed.
## Abstract Let __f__ be a dominant meromorphic selfβmap of large topological degree on a compact KΓ€hler manifold. We give a new construction of the equilibrium measure ΞΌ of __f__ and prove that ΞΌ is exponentially mixing. As a consequence, we get the central limit theorem in particular for HΓΆlderβc