E. Von-bahr and C. G. Esseen, Inequalities for the $r$th Absolute Moment of a Sum of Random Variables, $1 \leqq r \leqq 2$, The Annals of Mathematical Statistics, vol.36, issue.1, pp.299-303, 1965.
DOI : 10.1214/aoms/1177700291

D. H. Bailey, P. B. Borwein, and S. Plouffe, On the rapid computation of various polylogarithmic constants, Mathematics of Computation, vol.66, issue.218, pp.903-913, 1997.
DOI : 10.1090/S0025-5718-97-00856-9

D. H. Bailey and R. E. Crandall, On the Random Character of Fundamental Constant Expansions, Experimental Mathematics, vol.10, issue.2, pp.175-190, 2001.
DOI : 10.1080/10586458.2001.10504441

V. Baladi, Positive transfer operators and decay of correlations Advanced series in Nonlinear dynamics, 2000.

J. Barral and A. H. Fan, Covering numbers of different points in Dvoretzky covering, Bulletin des Sciences Math??matiques, vol.129, issue.4, pp.275-317, 2005.
DOI : 10.1016/j.bulsci.2004.05.007

J. Barral and B. B. Mandelbrot, Multifractal products of cylindrical pulses, Probab. Theory Relat. Fields, pp.409-430, 2002.

J. Barral and D. J. Feng, Weighted thermodynamic formalism and applications. arXiv:math/0909
DOI : 10.4310/ajm.2012.v16.n2.a8

URL : http://projecteuclid.org/download/pdf_1/euclid.ajm/1333976888

P. Billingsley, Convergence of Probability Measures, 1999.
DOI : 10.1002/9780470316962

P. Bougerol and J. Lacroix, Products of matrices with applications to Schrödinger operators, 1985.

R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics, vol.470, 1975.
DOI : 10.1007/BFb0081279

L. Carleson, On the support of harmonic measure for sets of Cantor type, Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica, vol.10, pp.113-123, 1985.
DOI : 10.5186/aasfm.1985.1014

A. Dvoretzky, ON COVERING A CIRCLE BY RANDOMLY PLACED ARCS, Proceedings of the National Academy of Sciences, vol.42, issue.4, pp.42-199, 1956.
DOI : 10.1073/pnas.42.4.199

R. S. Ellis, Large Deviations for a General Class of Random Vectors, The Annals of Probability, vol.12, issue.1, pp.1-12, 1984.
DOI : 10.1214/aop/1176993370

A. Fan, How many intervals cover a point in Dvoretzky covering?, Israel Journal of Mathematics, vol.23, issue.1, pp.157-184, 2002.
DOI : 10.1007/BF02785856

A. H. Fan and D. Feng, On the distribution of long-term time averages on symbolic space, J. Statist. Phys, vol.99, pp.3-4, 2000.

A. H. Fan, D. Feng, and J. Wu, Recurrence, Dimension and Entropy, Journal of the London Mathematical Society, vol.64, issue.1, pp.229-244, 2001.
DOI : 10.1017/S0024610701002137

A. Fan, L. Liao, B. Wang, and J. Wu, On Khintchine exponents and Lyapounov exponents of continued fractions, Ergod. Th. & Dynam. Sys, pp.29-73, 2009.

D. Feng, The variational principle for products of non-negative matrices, Nonlinearity, vol.17, issue.2, pp.447-457, 2004.
DOI : 10.1088/0951-7715/17/2/004

D. Feng, Lyapunov exponents for products of matrices and multifractal analysis. Part II: General matrices, Israel Journal of Mathematics, vol.2, issue.1, pp.355-394, 2009.
DOI : 10.1007/s11856-009-0033-x

D. Feng and W. Huang, Lyapunov Spectrum of Asymptotically Sub-additive Potentials, Communications in Mathematical Physics, vol.19, issue.2
DOI : 10.1007/s00220-010-1031-x

B. Hasselblatt and A. Katok, Introduction to the Modern Theory of Dynamical Systems, 1995.

J. Kahane, Some Random Series of Functions, 1985.

J. Kahane and J. Peyrière, Sur certaines martingales de Benoit Mandelbrot, Advances in Mathematics, vol.22, issue.2, pp.131-145, 1976.
DOI : 10.1016/0001-8708(76)90151-1

URL : http://doi.org/10.1016/0001-8708(76)90151-1

R. Lyons, Random Walks, Capacity and Percolation on Trees, The Annals of Probability, vol.20, issue.4, pp.2043-2088, 1992.
DOI : 10.1214/aop/1176989540

R. Lyons, R. Pemantle, and Y. Peres, Conceptual Proofs of $L$ Log $L$ Criteria for Mean Behavior of Branching Processes, The Annals of Probability, vol.23, issue.3, pp.1125-1138, 1995.
DOI : 10.1214/aop/1176988176

Q. Liu and A. Rouault, On Two Measures Defined on the Boundary of a Branching Tree, Classical and Modern Branching Processes, pp.187-201, 1997.
DOI : 10.1007/978-1-4612-1862-3_15

N. G. Makarov, Fine structure of harmonic measure, St. Peterburg Math. J, vol.10, issue.2, pp.217-268, 1999.

B. B. Mandelbrot, On Dvoretzky coverings for the circle, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.22, issue.2, pp.158-160, 1972.
DOI : 10.1007/BF00532734

B. B. Mandelbrot, Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier, Journal of Fluid Mechanics, vol.15, issue.02, pp.331-358, 1974.
DOI : 10.1063/1.1693226

A. A. Mogulskii, Large Deviations for Processes with Independent Increments, The Annals of Probability, vol.21, issue.1, pp.202-215, 1993.
DOI : 10.1214/aop/1176989401

S. Orey and S. Pelikan, Large Deviation Principles for Stationary Processes, The Annals of Probability, vol.16, issue.4, pp.1481-1495, 1988.
DOI : 10.1214/aop/1176991579

S. Orey and S. Pelikan, Deviations of trajectory averages and the defect in Pesin's formula for Anosov diffeomorphisms, Trans. Amer. Math. Soc, pp.315-741, 1989.

E. Rio, Théorie Asymptotique des Processus Aléatoires Faiblement Dépendants, 2000.

R. T. Rockafellar and N. J. , Convex Analysis, Princeton Mathematical Series, issue.28, 1970.
DOI : 10.1515/9781400873173

M. Rosenblatt, A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION, Proc. Natl. Acad. Sci. USA, pp.42-43, 1956.
DOI : 10.1073/pnas.42.1.43

D. Ruelle, Thermodynamic Formalism, Encyclopedia of Mathematics and its Applications, 1978.

D. Ruelle, Thermodynamic formalism of maps satisfying positive expansiveness and specification, Nonlinearity, vol.5, issue.6, pp.1223-1236, 1992.
DOI : 10.1088/0951-7715/5/6/002

O. Sarig, Subexponential decay of correlations, Inventiones mathematicae, vol.150, issue.3, pp.629-653, 2002.
DOI : 10.1007/s00222-002-0248-5

L. A. Shepp, Covering the line with random intervals, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.22, issue.3, pp.163-170, 1972.
DOI : 10.1007/BF00536556

L. A. Shepp, Covering the circle with random ARCS, Israel Journal of Mathematics, vol.21, issue.3, pp.328-345, 1972.
DOI : 10.1007/BF02789327

D. W. Strook, An Introduction to the Theory of Large Deviations, 1984.
DOI : 10.1007/978-1-4613-8514-1

F. Takens and E. Verbitskiy, On the variational principle for the topological entropy of certain non-compact sets, Ergodic Theory and Dynamical Systems, vol.23, issue.01, pp.317-348, 2003.
DOI : 10.1017/S0143385702000913

L. Young, Some Large Deviation Results for Dynamical Systems, Transactions of the American Mathematical Society, vol.318, issue.2, pp.318-525, 1990.
DOI : 10.2307/2001318