TY - BOOK AU - Acosta,Alejandro D.de AU - Ney,Peter TI - Large deviations for additive functionals of Markov chains T2 - Memoirs of the American Mathematical Society SN - 9780821890899 (alk. paper) U1 - 510 23 PY - 2014/// CY - Providence PB - American Mathematical Society KW - Large deviations KW - Markov processes KW - Additive functions N1 - "March 2014, volume 228, number 1070 (second of 5 numbers)."; Includes bibliographical references (pages 107-108); 1. Introduction-- 2. The transform kernels Kg and their convergence parameters-- 3. Comparison of ?(g) and ? ? (g)-- 4. Proof of Theorem 1-- 5. A characteristic equation and the analyticity of ? f : the case when P has an atom C?S satisfying ? (C)>0-- 6. Characteristic equations and the analyticity of ? f: the general case when P is geometrically ergodic-- 7. Differentiation formulas for u g and ? f in the general case and their consequences-- 8. Proof of Theorem 2-- 9. Proof of Theorem 3-- 10. Examples-- 11. Applications to an autoregressive process and to reflected random walk-- Appendix-- Background comments-- References ER -