Large deviations for intermittent maps Export

@article{citeulike:5475807, abstract = {In this paper we study large deviation results for the Manneville-Pomeau map and related transformations to indifferent fixed points. In particular, we consider conditions under which the associated error term is polynomial or even exponential. For typical observables, polynomial estimates are optimal. However, under suitable conditions, the exponential error term arises from the compactness of the space of measures, despite the indifference of the fixed point.}, author = {Pollicott, Mark and Sharp, Richard}, citeulike-article-id = {5475807}, citeulike-linkout-0 = {http://dx.doi.org/10.1088/0951-7715/22/9/001}, doi = {10.1088/0951-7715/22/9/001}, journal = {Nonlinearity}, keywords = {dynamical-system, intermittency, large-deviation}, number = {9}, pages = {2079--2092}, posted-at = {2009-08-19 04:47:40}, priority = {2}, title = {Large deviations for intermittent maps}, url = {http://dx.doi.org/10.1088/0951-7715/22/9/001}, volume = {22}, year = {2009} }

TY - JOUR ID - citeulike:5475807 L3 - citeulike-article-id:5475807 N2 - In this paper we study large deviation results for the Manneville-Pomeau map and related transformations to indifferent fixed points. In particular, we consider conditions under which the associated error term is polynomial or even exponential. For typical observables, polynomial estimates are optimal. However, under suitable conditions, the exponential error term arises from the compactness of the space of measures, despite the indifference of the fixed point. IS - 9 JF - Nonlinearity EP - 2092 TI - Large deviations for intermittent maps VL - 22 SP - 2079 KW - dynamical-system KW - intermittency KW - large-deviation AU - Pollicott, Mark AU - Sharp, Richard PY - 2009/// UR - http://dx.doi.org/10.1088/0951-7715/22/9/001 ER -