U. N. Frisch and . Kolmogorov, Turbulence, the legacy of A, 1995.

T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaria, and B. Shraiman, Fractal measures and their singularities: The characterization of strange sets, Physical Review A, vol.33, issue.2, p.1141, 1986.
DOI : 10.1103/PhysRevA.33.1141

P. Meakin, Fractals, scaling and growth far from equilibrium, 1998.

B. and D. Bovier, Conformal Random Geometry, Les Houches, Session LXXXIII, Mathematical Statistical Physics, vol.101, 2005.

F. Evers and A. D. Mirlin, Anderson transitions, Reviews of Modern Physics, vol.80, issue.4, p.1355, 2008.
DOI : 10.1103/RevModPhys.80.1355

A. W. Ludwig, Infinite hierarchies of exponents in a diluted ferromagnet and their interpretation, Nuclear Physics B, vol.330, issue.2-3, p.639, 1990.
DOI : 10.1016/0550-3213(90)90126-X

J. L. Jacobsen and J. L. Cardy, Critical behaviour of random-bond Potts models: a transfer matrix study, Nuclear Physics B, vol.515, issue.3, p.701, 1998.
DOI : 10.1016/S0550-3213(98)00024-8

T. Olsson and A. P. Young, Monte Carlo study of the critical behavior of random bond Potts models, Physical Review B, vol.60, issue.5, p.3428, 1999.
DOI : 10.1103/PhysRevB.60.3428

C. Chatelain and B. Berche, Universality and multifractal behaviour of spin???spin correlation functions in disordered Potts models, Nuclear Physics B, vol.572, issue.3, p.626, 2000.
DOI : 10.1016/S0550-3213(00)00050-X

C. Chatelain, B. Berche, and L. N. Shchur, Quenched bond dilution in two-dimensional Potts models, Journal of Physics A: Mathematical and General, vol.34, issue.45, p.9593, 2001.
DOI : 10.1088/0305-4470/34/45/301
URL : https://hal.archives-ouvertes.fr/hal-00137975

J. M. Stephan, S. Furukawa, G. Misguich, and V. Pasquier, Shannon and entanglement entropies of one- and two-dimensional critical wave functions, Physical Review B, vol.80, issue.18, p.184421, 2009.
DOI : 10.1103/PhysRevB.80.184421

J. M. Stephan, G. Misguich, and V. Pasquier, R??nyi entropy of a line in two-dimensional Ising models, Physical Review B, vol.82, issue.12, p.125455, 2010.
DOI : 10.1103/PhysRevB.82.125455

J. M. Stephan, G. Misguich, and V. Pasquier, Phase transition in the R??nyi-Shannon entropy of Luttinger liquids, Physical Review B, vol.84, issue.19, p.195128, 2011.
DOI : 10.1103/PhysRevB.84.195128

M. P. Zaletel, J. H. Bardarson, and J. E. Moore, Logarithmic Terms in Entanglement Entropies of 2D Quantum Critical Points and Shannon Entropies of Spin Chains, Physical Review Letters, vol.107, issue.2, p.20402, 2011.
DOI : 10.1103/PhysRevLett.107.020402

Y. Y. Atas and E. Bogomolny, Multifractality of eigenfunctions in spin chains, Physical Review E, vol.86, issue.2, p.21104, 2012.
DOI : 10.1103/PhysRevE.86.021104
URL : https://hal.archives-ouvertes.fr/hal-00702547

H. W. Lau and P. Grassberger, Information theoretic aspects of the two-dimensional Ising model, Physical Review E, vol.87, issue.2, p.22128, 2013.
DOI : 10.1103/PhysRevE.87.022128

Y. Y. Atas and E. Bogomolny, Calculation of multi-fractal dimensions in spin chains, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.164, issue.5, p.20120520, 2014.
DOI : 10.1103/RevModPhys.66.763

D. J. Luitz, F. Alet, and N. Laflorencie, Universal Behavior beyond Multifractality in Quantum Many-Body Systems, Physical Review Letters, vol.112, issue.5, p.57203, 2014.
DOI : 10.1103/PhysRevLett.112.057203
URL : https://hal.archives-ouvertes.fr/hal-00982452

D. J. Luitz, F. Alet, and N. Laflorencie, criticality, Physical Review B, vol.89, issue.16, p.165106, 2014.
DOI : 10.1103/PhysRevB.89.165106
URL : https://hal.archives-ouvertes.fr/hal-00982461

D. J. Luitz, X. Plat, N. Laflorencie, and F. Alet, Improving entanglement and thermodynamic R??nyi entropy measurements in quantum Monte Carlo, Physical Review B, vol.90, issue.12, p.125105, 2014.
DOI : 10.1103/PhysRevB.90.125105

J. M. Stephan, Shannon and R??nyi mutual information in quantum critical spin chains, Physical Review B, vol.90, issue.4, p.45424, 2014.
DOI : 10.1103/PhysRevB.90.045424

F. C. Alcaraz and M. A. Rajabpour, Universal behavior of the Shannon and R??nyi mutual information of quantum critical chains, Physical Review B, vol.90, issue.7, p.75132, 2014.
DOI : 10.1103/PhysRevB.90.075132

S. Sachdev, Quantum Phase Transitions, 1999.

A. Fernandez-pacheco, Comment on the SLAC renormalization-group approach to the Ising chain in a transverse magnetic field, Physical Review D, vol.19, issue.10, p.3173, 1979.
DOI : 10.1103/PhysRevD.19.3173

R. Miyazaki and H. Nishimori, Real-space renormalization-group approach to the random transverse-field Ising model in finite dimensions, Physical Review E, vol.87, issue.3, p.32154, 2013.
DOI : 10.1103/PhysRevE.87.032154

G. Refael and J. E. Moore, Entanglement Entropy of Random Quantum Critical Points in One Dimension, Physical Review Letters, vol.93, issue.26, p.260602, 2004.
DOI : 10.1103/PhysRevLett.93.260602

G. Refael and J. E. Moore, Criticality and entanglement in random quantum systems, Journal of Physics A: Mathematical and Theoretical, vol.42, issue.50, p.504010, 2009.
DOI : 10.1088/1751-8113/42/50/504010

B. M. Mccoy and T. T. Wu, Theory of a Two-Dimensional Ising Model with Random Impurities. I. Thermodynamics, Physical Review, vol.176, issue.2, p.631, 1968.
DOI : 10.1103/PhysRev.176.631