Institute of Mathematical Statistics Lecture Notes - Monograph Series

Ruelle's Perron-Frobenius theorem and the central limit theorem for additive functionals of one-dimensional Gibbs states

S. P. Lalley

Full-text: Open access

Chapter information

Source
John Van Ryzin Adaptive statistical procedures and related topics (Hayward, CA: Institute of Mathematical Statistics, 1986), 428-446

Dates
First available in Project Euclid: 8 July 2008

Permanent link to this document
https://projecteuclid.org/euclid.lnms/1215540317

Digital Object Identifier
doi:10.1214/lnms/1215540317

Mathematical Reviews number (MathSciNet)
MR898264

Zentralblatt MATH identifier
0679.60034

Subjects
Primary: 60F05: Central limit and other weak theorems
Secondary: 60F10: Large deviations 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 82A05

Rights
Copyright © 1986, Institute of Mathematical Statistics

Citation

Lalley, S. P. Ruelle's Perron-Frobenius theorem and the central limit theorem for additive functionals of one-dimensional Gibbs states. Adaptive statistical procedures and related topics, 428--446, Institute of Mathematical Statistics, Hayward, CA, 1986. doi:10.1214/lnms/1215540317. https://projecteuclid.org/euclid.lnms/1215540317


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