An almost sure invariance principle for stationary ergodic sequences of Banach space valued random variables, Probab. Theory Relat, pp.161-201, 1990. ,
Convergence rates in the law of large numbers for Banach-valued dependent variables, Teoriya Veroyatnostei i ee Primeneniya, vol.52, issue.3, pp.562-587, 2007. ,
DOI : 10.4213/tvp78
URL : https://hal.archives-ouvertes.fr/hal-00332333
Some unbounded functions of intermittent maps for which the central limit theorem holds, ALEA Lat. Am. J. Probab. Math. Stat, vol.5, pp.29-45, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00685955
On mean central limit theorems for stationary sequences, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.44, issue.4, pp.693-726, 2008. ,
DOI : 10.1214/07-AIHP117
URL : https://hal.archives-ouvertes.fr/hal-00672866
On moment conditions for normed sums of independent variables and martingale differences, Stochastic Processes and their Applications, vol.19, issue.1, pp.173-182, 1985. ,
DOI : 10.1016/0304-4149(85)90048-1
An introduction to probability theory and its applications, p.pp, 1966. ,
An Extension of the Law of the Iterated Logarithm to Variables without Variance, Indiana University Mathematics Journal, vol.18, issue.4, pp.343-355, 1968. ,
DOI : 10.1512/iumj.1969.18.18027
Entropy fluctuations for parabolic maps, Nonlinearity, vol.16, issue.4, pp.1203-1218, 2003. ,
DOI : 10.1088/0951-7715/16/4/301
Abstracts of communication, T.1:A-K, International conference on probability theory, 1973. ,
Central limit theorem and stable laws for intermittent maps. Probab. Theory Relat, pp.82-122, 2004. ,
Sharp polynomial estimates for the decay of correlations, Israel Journal of Mathematics, vol.110, issue.1, pp.29-65, 2004. ,
DOI : 10.1007/BF02787541
Vitesse de décorrélation et théorèmes limites pour les applications non uniformément dilatantes, Thèse 7526 de l, 2004. ,
A Borel???Cantelli lemma for intermittent interval maps, Nonlinearity, vol.20, issue.6, pp.1491-1497, 2007. ,
DOI : 10.1088/0951-7715/20/6/010
Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness, Lecture Notes in Mathematics, vol.1766, 2001. ,
DOI : 10.1007/b87874
A note concerning behaviour of iterated logarithm type, Proc. Amer, pp.85-90, 1969. ,
Ergodic properties of invariant measures for piecewise monotonic transformations, Mathematische Zeitschrift, vol.7, issue.1, pp.119-140, 1982. ,
DOI : 10.1007/BF01215004
Asymptotic recurrence and waiting times for stationary processes, Journal of Theoretical Probability, vol.11, issue.3, pp.795-811, 1998. ,
DOI : 10.1023/A:1022610816550
A probabilistic approach to intermittency, Ergodic Theory and Dynamical Systems, vol.19, issue.3, pp.671-685, 1999. ,
DOI : 10.1017/S0143385799133856
Almost Sure Invariance Principle for Nonuniformly Hyperbolic Systems, Communications in Mathematical Physics, vol.110, issue.1, pp.131-146, 2005. ,
DOI : 10.1007/s00220-005-1407-5
On a maximal inequality for strongly mixing random variables in Hilbert spaces. Application to the compact law of the iterated logarithm, Publ. Inst. Stat. Univ. Paris, vol.12, pp.47-60, 2008. ,
Almost sure invariance principle for partial sums of weakly dependent random variables. Mem. of the Amer, Math. Soc, vol.161, 1975. ,
Optimum Bounds for the Distributions of Martingales in Banach Spaces, The Annals of Probability, vol.22, issue.4, pp.1679-1706, 1994. ,
DOI : 10.1214/aop/1176988477
Intermittent transition to turbulence in dissipative dynamical systems, Communications in Mathematical Physics, vol.20, issue.2, pp.189-197, 1980. ,
DOI : 10.1007/BF01197757
Covariance inequalities for strongly mixing processes, Ann. Inst. H. Poincaré Probab. Statist, vol.29, pp.587-597, 1993. ,
The Functional Law of the Iterated Logarithm for Stationary Strongly Mixing Sequences, The Annals of Probability, vol.23, issue.3, pp.1188-1203, 1995. ,
DOI : 10.1214/aop/1176988179
Théorie asymptotique des processus aléatoires faiblement dépendants, Mathématiques et applications de la SMAI, p.31, 2000. ,
A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION, Proc. Nat. Acad. Sci. U. S. A. 42, pp.43-47, 1956. ,
DOI : 10.1073/pnas.42.1.43
Subexponential decay of correlations, Inventiones mathematicae, vol.150, issue.3, pp.629-653, 2002. ,
DOI : 10.1007/s00222-002-0248-5
Almost sure convergence, 1974. ,
On the invariance principle and the law of iterated logarithm for stationary processes. Mathematical physics and stochastic analysis, pp.424-438, 2000. ,
Recurrence times and rates of mixing, Israel Journal of Mathematics, vol.147, issue.1, pp.153-188, 1999. ,
DOI : 10.1007/BF02808180
Ergodic structure and invariant densities of non-Markovian interval maps with indifferent fixed points, Nonlinearity, vol.11, issue.5, pp.1263-1276, 1998. ,
DOI : 10.1088/0951-7715/11/5/005