D. André, P. Figuière, R. Fourme, M. Ghelfenstein, D. Labarre et al., Crystalline thiophene???I, Journal of Physics and Chemistry of Solids, vol.45, issue.3, p.299, 1984.
DOI : 10.1016/0022-3697(84)90035-0

D. André and H. Szwarc, X-ray evidence for incommensurate phases in crystalline thiophene. An effect of the pseudo-pentagonal molecular symmetry ?, Journal de Physique, vol.47, issue.1, p.61, 1986.
DOI : 10.1051/jphys:0198600470106100

C. F. Baillie, R. Gupta, K. A. Hawick, and G. S. Pawley, Monte Carlo renormalization-group study of the three-dimensional Ising model, Physical Review B, vol.45, issue.18, p.10438, 1992.
DOI : 10.1103/PhysRevB.45.10438

P. D. Beale, Exact Distribution of Energies in the Two-Dimensional Ising Model, Physical Review Letters, vol.76, issue.1, p.78, 1996.
DOI : 10.1103/PhysRevLett.76.78

P. E. Berche, C. Chatelain, and B. Berche, Aperiodicity-Induced Second-Order Phase Transition in the 8-State Potts Model, Physical Review Letters, vol.80, issue.2, p.297, 1998.
DOI : 10.1103/PhysRevLett.80.297

G. Bhanot, H. Neuberger, and J. A. Shapiro, Simulation of a Critical Ising Fractal, Physical Review Letters, vol.53, issue.24, p.2277, 1984.
DOI : 10.1103/PhysRevLett.53.2277

L. Bin, Potts model on Sierpinski carpets, Journal of Physics A: Mathematical and General, vol.19, issue.16, p.3449, 1986.
DOI : 10.1088/0305-4470/19/16/040

K. Binder and D. W. , Heermann in Monte-Carlo Simulation in Statistical Physics, 1988.

J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. E. , Newmann in The Theory of Critical Phenomena, 1992.

H. W. Blöte, J. R. Heringa, A. Hoogland, E. W. Meyer, and T. S. Smit, Monte Carlo Renormalization of the 3D Ising Model: Analyticity and Convergence, Physical Review Letters, vol.76, issue.15, p.2613, 1996.
DOI : 10.1103/PhysRevLett.76.2613

B. Bonnier, Y. Leroyer, and C. Meyers, Critical exponents for Ising-like systems on Sierpinski carpets, Journal de Physique, vol.48, issue.4, p.553, 1987.
DOI : 10.1051/jphys:01987004804055300
URL : https://hal.archives-ouvertes.fr/jpa-00210469

B. Bonnier, Y. Leroyer, and C. Meyers, Real-space renormalization-group study of fractal Ising models, Physical Review B, vol.37, issue.10, p.5205, 1988.
DOI : 10.1103/PhysRevB.37.5205

B. Bonnier, Y. Leroyer, and C. Meyers, High-temperature expansions on Sierpinski carpets, Physical Review B, vol.40, issue.13, p.8961, 1989.
DOI : 10.1103/PhysRevB.40.8961

A. Boutin, J. M. Simon, and A. H. Fuchs, The phase transitions of sulphur hexafluoride by molecular dynamics simulation, Molecular Physics, vol.41, issue.5, p.1165, 1994.
DOI : 10.1007/BF01543985

J. Carmona, U. M. Marconi, J. J. Ruiz-lorenzo, and A. Tarancón, Critical properties of the Ising model on Sierpinski fractals: A finite-size scaling-analysis approach, Physical Review B, vol.58, issue.21, p.14387, 1998.
DOI : 10.1103/PhysRevB.58.14387

S. Chen, A. M. Ferrenberg, and D. P. Landau, Monte Carlo simulation of phase transitions in a two-dimensional random-bond Potts model, Physical Review E, vol.52, issue.2, p.1377, 1995.
DOI : 10.1103/PhysRevE.52.1377

P. D. Coddington and C. F. Baillie, Empirical relations between static and dynamic exponents for Ising model cluster algorithms, Physical Review Letters, vol.68, issue.7, p.962, 1992.
DOI : 10.1103/PhysRevLett.68.962

A. M. Ferrenberg and R. H. Swendsen, New Monte Carlo technique for studying phase transitions, Physical Review Letters, vol.61, issue.23, p.2635, 1988.
DOI : 10.1103/PhysRevLett.61.2635

A. M. Ferrenberg and R. H. Swendsen, Optimized Monte Carlo data analysis, Physical Review Letters, vol.63, issue.12, p.1195, 1989.
DOI : 10.1103/PhysRevLett.63.1195

A. M. Ferrenberg and D. P. Landau, Critical behavior of the three-dimensional Ising model: A high-resolution Monte Carlo study, Physical Review B, vol.44, issue.10, p.5081, 1991.
DOI : 10.1103/PhysRevB.44.5081

M. E. Fisher and M. N. Barber, Scaling Theory for Finite-Size Effects in the Critical Region, Physical Review Letters, vol.28, issue.23, p.1516, 1972.
DOI : 10.1103/PhysRevLett.28.1516

S. Galam and A. Mauger, Universal formulas for percolation thresholds, Physical Review E, vol.53, issue.3, p.2177, 1996.
DOI : 10.1103/PhysRevE.53.2177
URL : http://arxiv.org/pdf/cond-mat/9606081v1.pdf

S. Galam and A. Mauger, Reply to ``Comment on `Universal formulas for percolation thresholds't'', Physical Review E, vol.55, issue.1, p.1230, 1997.
DOI : 10.1103/PhysRevE.55.1230

Z. Gao and Z. R. Yang, Dynamic behavior of the Ziff-Gulari-Barshad model on fractal lattices: The influence of the order of ramification, Physical Review E, vol.60, issue.3, p.2741, 1999.
DOI : 10.1103/PhysRevE.60.2741

Y. Gefen, B. B. Mandelbrot, and A. Aharony, Critical Phenomena on Fractal Lattices, Physical Review Letters, vol.45, issue.11, p.855, 1980.
DOI : 10.1103/PhysRevLett.45.855

Y. Gefen, A. Aharony, Y. Shapir, and A. N. Berker, Hyperscaling and crossover exponents near the percolation threshold, Journal of Physics C: Solid State Physics, vol.15, issue.24, p.801, 1982.
DOI : 10.1088/0022-3719/15/24/001

Y. Gefen, Y. Meir, B. B. Mandelbrot, and A. Aharony, Geometric Implementation of Hypercubic Lattices with Noninteger Dimensionality by Use of Low Lacunarity Fractal Lattices, Physical Review Letters, vol.50, issue.3, p.145, 1983.
DOI : 10.1103/PhysRevLett.50.145

Y. Gefen, A. Aharony, and B. B. Mandelbrot, Phase transitions on fractals. I. Quasi-linear lattices, Journal of Physics A: Mathematical and General, vol.16, issue.6, p.1267, 1983.
DOI : 10.1088/0305-4470/16/6/021

Y. Gefen, A. Aharony, Y. Shapir, and B. B. Mandelbrot, Phase transitions on fractals. II. Sierpinski gaskets, Journal of Physics A: Mathematical and General, vol.17, issue.2, p.435, 1984.
DOI : 10.1088/0305-4470/17/2/028

Y. Gefen, A. Aharony, and B. B. Mandelbrot, Phase transitions on fractals. III. Infinitely ramified lattices, Journal of Physics A: Mathematical and General, vol.17, issue.6, p.1277, 1984.
DOI : 10.1088/0305-4470/17/6/024

R. Gupta and P. Tamayo, CRITICAL EXPONENTS OF THE 3-D ISING MODEL, International Journal of Modern Physics C, vol.07, issue.03, p.305, 1996.
DOI : 10.1142/S0129183196000247

A. B. Harris, Effect of random defects on the critical behaviour of Ising models, Journal of Physics C: Solid State Physics, vol.7, issue.9, p.1671, 1974.
DOI : 10.1088/0022-3719/7/9/009

Y. Pai and . Hsiao, Thèse de physique théorique de l' Université Paris VII Denis Diderot ) " I. comportement critique des modèles de spin classiques sur des fractals

P. Y. Hsiao and P. Monceau, Critical behavior of the three-state Potts model on the Sierpinski carpet, Physical Review B, vol.65, issue.18, p.184427, 2002.
DOI : 10.1103/PhysRevB.65.184427
URL : https://hal.archives-ouvertes.fr/hal-00522894

P. Y. Hsiao and P. Monceau, Scaling law of Wolff cluster surface energy, Physical Review B, vol.67, issue.17, p.172403, 2003.
DOI : 10.1103/PhysRevB.67.172403
URL : https://hal.archives-ouvertes.fr/hal-00701562

P. Hsiao and P. Monceau, Critical behavior of the ferromagnetic Ising model on a Sierpi??ski carpet: Monte Carlo renormalization group study, Physical Review B, vol.67, issue.6, p.64411, 2003.
DOI : 10.1103/PhysRevB.67.064411

L. P. Kadanoff, Physics (Long Island City, p.263, 1966.

P. Lai and G. , Potts model on a fractal lattice, Journal of Physics A: Mathematical and General, vol.20, issue.8, pp.2159-2178, 1987.
DOI : 10.1088/0305-4470/20/8/029

D. P. Landau and K. Binder, A Guid to Monte-Carlo Simulations in Statistical Physics, 2000.

J. C. Le-guillou and J. Zinn-justin, Accurate critical exponents for Ising like systems in non-integer dimensions, Journal de Physique, vol.48, issue.1, p.19, 1987.
DOI : 10.1051/jphys:0198700480101900
URL : https://hal.archives-ouvertes.fr/jpa-00210418

D. Ledue, Static critical behavior of a weakly frustrated Ising model on the octagonal tiling, Physical Review B, vol.53, issue.6, p.3312, 1996.
DOI : 10.1103/PhysRevB.53.3312

X. Li and A. D. Sokal, Rigorous lower bound on the dynamic critical exponents of the Swendsen-Wang algorithm, Physical Review Letters, vol.63, issue.8, p.827, 1989.
DOI : 10.1103/PhysRevLett.63.827

B. Lin and Z. R. Yang, A suggested lacunarity expression for Sierpinski carpets, Journal of Physics A: Mathematical and General, vol.19, issue.2, p.49, 1986.
DOI : 10.1088/0305-4470/19/2/005

S. K. Ma, Renormalization Group by Monte Carlo Methods, Physical Review Letters, vol.37, issue.8, p.461, 1976.
DOI : 10.1103/PhysRevLett.37.461

F. S. De-menezes, A. C. De-magalhães-magalh?, and . Magalhães, Potts model on infinitely ramified Sierpinski-gasket-type fractals and algebraic order at antiferromagnetic phases, Physical Review B, vol.46, issue.18, p.11642, 1992.
DOI : 10.1103/PhysRevB.46.11642

H. Meyer-ortmanns and T. Reisz, The monotony criterion for a finite size scaling analysis of phase transitions, Journal of Mathematical Physics, vol.39, issue.10, p.5316, 1998.
DOI : 10.1063/1.532573

P. Monceau, J. C. Lévy, and M. Perreau, Statistics of local environments in fractals, Physics Letters A, vol.171, issue.3-4, p.167, 1992.
DOI : 10.1016/0375-9601(92)90421-H

P. Monceau, M. Perreau, and F. Hébert, Magnetic critical behavior of the Ising model on fractal structures, Physical Review B, vol.58, issue.10, p.6386, 1998.
DOI : 10.1103/PhysRevB.58.6386
URL : https://hal.archives-ouvertes.fr/hal-00521244

P. Monceau and M. Perreau, Critical behavior of the Ising model on fractal structures in dimensions between one and two: Finite-size scaling effects, Physical Review B, vol.63, issue.18, p.184420, 2001.
DOI : 10.1103/PhysRevB.63.184420

P. Monceau and P. Y. Hsiao, Anomalous dimension exponents on fractal structures for the Ising and three-state Potts model, Physics Letters A, vol.300, issue.6, p.687, 2002.
DOI : 10.1016/S0375-9601(02)00898-8
URL : https://hal.archives-ouvertes.fr/hal-00522896

P. Monceau and P. Y. Hsiao, Cluster Monte Carlo distributions in fractal dimensions between two and three: Scaling properties and dynamical aspects for the Ising model, Physical Review B, vol.66, issue.10, p.104422, 2002.
DOI : 10.1103/PhysRevB.66.104422
URL : https://hal.archives-ouvertes.fr/hal-00701515

M. E. Newman and R. M. Ziff, Efficient Monte Carlo Algorithm and High-Precision Results for Percolation, Physical Review Letters, vol.85, issue.19, p.4104, 2000.
DOI : 10.1103/PhysRevLett.85.4104

M. A. Novotny, Critical exponents for the Ising model between one and two dimensions, Physical Review B, vol.46, issue.5, p.2939, 1992.
DOI : 10.1103/PhysRevB.46.2939

G. S. Pawley, R. H. Swendsen, D. J. Wallace, and K. G. Wilson, Monte Carlo renormalization-group calculations of critical behavior in the simple-cubic Ising model, Physical Review B, vol.29, issue.7, p.4030, 1984.
DOI : 10.1103/PhysRevB.29.4030

R. J. Pellenq and D. Nicholson, A simple method for calculating dispersion coefficients for isolated and condensed-phase species, Molecular Physics, vol.100, issue.3, p.549, 1998.
DOI : 10.1088/0953-8984/7/26/007

M. Perreau and J. C. Levy, Randomness in fractals, connectivity dimensions, and percolation, Physical Review A, vol.40, issue.8, p.4690, 1989.
DOI : 10.1103/PhysRevA.40.4690

M. Perreau, J. Peiro, and S. Berthier, Percolation in random-Sierpi??ski carpets: A real space renormalization group approach, Physical Review E, vol.54, issue.5, p.4590, 1996.
DOI : 10.1103/PhysRevE.54.4590

R. E. Plotnick, R. H. Gardner, W. W. Hargrove, K. Prestegaard, and M. Perlmutter, Lacunarity analysis: A general technique for the analysis of spatial patterns, Physical Review E, vol.53, issue.5, p.5461, 1996.
DOI : 10.1103/PhysRevE.53.5461

G. Pruessner, D. Loison, and K. D. Schotte, Monte Carlo simulation of an Ising model on a Sierpi??ski carpet, Physical Review B, vol.64, issue.13, p.134414, 2001.
DOI : 10.1103/PhysRevB.64.134414

J. A. Redinz, A. C. De-magalhães-magalh?-magalhães, and E. M. Curado, Potts antiferromagnetic model on a family of fractal lattices: Exact results for an unusual phase, Physical Review B, vol.49, issue.10, p.6689, 1994.
DOI : 10.1103/PhysRevB.49.6689

J. A. Redinz and P. , Analytical verification of scaling laws for the Ising model with external field in fractal lattices, Physical Review E, vol.60, issue.3, p.3399, 1999.
DOI : 10.1103/PhysRevE.60.3399

H. E. Stanley, Scaling, universality, and renormalization: Three pillars of modern critical phenomena, Reviews of Modern Physics, vol.71, issue.2, p.358, 1999.
DOI : 10.1103/RevModPhys.71.S358

D. Stauffer and A. Aharony, Introduction to Percolation Theory, 1994.

R. H. Swendsen, Ising model, Physical Review B, vol.20, issue.5, p.2080, 1979.
DOI : 10.1103/PhysRevB.20.2080

R. H. Swendsen and J. Wang, Nonuniversal critical dynamics in Monte Carlo simulations, Physical Review Letters, vol.58, issue.2, p.86, 1987.
DOI : 10.1103/PhysRevLett.58.86

R. H. Swendsen, Monte Carlo Calculation of Renormalized Coupling Parameters, Physical Review Letters, vol.52, issue.14, p.1165, 1984.
DOI : 10.1103/PhysRevLett.52.1165

R. H. Swendsen, Monte Carlo renormalization group, Journal of Statistical Physics, vol.43, issue.5-6, p.963, 1984.
DOI : 10.1007/BF01009451

Y. Taguchi, Lacunarity and universality, Journal of Physics A: Mathematical and General, vol.20, issue.18, p.6611, 1987.
DOI : 10.1088/0305-4470/20/18/058

P. Tamayo, R. C. Brower, and W. Klein, Single-cluster Monte Carlo dynamics for the Ising model, Journal of Statistical Physics, vol.53, issue.5-6, p.1083, 1990.
DOI : 10.1007/BF01026564

F. Wang and D. P. Landau, Efficient, Multiple-Range Random Walk Algorithm to Calculate the Density of States, Physical Review Letters, vol.86, issue.10, p.2050, 2001.
DOI : 10.1103/PhysRevLett.86.2050

K. G. Wilson, Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture, Physical Review B, vol.4, issue.9, p.3174, 1971.
DOI : 10.1103/PhysRevB.4.3174

K. G. Wilson, Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior, Physical Review B, vol.4, issue.9, p.3184, 1971.
DOI : 10.1103/PhysRevB.4.3184

K. G. Wilson and M. E. Fisher, Critical Exponents in 3.99 Dimensions, Physical Review Letters, vol.28, issue.4, p.240, 1972.
DOI : 10.1103/PhysRevLett.28.240

U. Wolff, Collective Monte Carlo Updating for Spin Systems, Physical Review Letters, vol.62, issue.4, p.361, 1989.
DOI : 10.1103/PhysRevLett.62.361

Y. K. Wu and B. Hu, Phase transitions on complex Sierpi??ski carpets, Physical Review A, vol.35, issue.3, p.1404, 1987.
DOI : 10.1103/PhysRevA.35.1404

Y. Z. Wu, Y. Qin, and Z. R. Yang, Diluted Potts model on diamond-type hierarchical lattices, Physical Review B, vol.48, issue.5, p.3171, 1993.
DOI : 10.1103/PhysRevB.48.3171

Z. R. Yang, Solvable Ising model on Sierp??nski carpets: The partition function, Physical Review E, vol.49, issue.3, p.2457, 1994.
DOI : 10.1103/PhysRevE.49.2457

. P. Articles-joints-en-annexe-1, J. C. Monceau, M. Lévy, and . Perreau, Statistics of local environments in fractals, Phys. Lett. A, vol.171, issue.167, 1992.

P. Hsiao, P. Monceau, and M. Perreau, Magnetic critical behavior of fractals in dimensions between 2 and 3, Physical Review B, vol.62, issue.21, p.13856, 2000.
DOI : 10.1103/PhysRevB.62.13856
URL : https://hal.archives-ouvertes.fr/hal-00701500

P. Y. Hsiao and P. Monceau, Critical behavior of the three-state Potts model on the Sierpinski carpet, Critical behavior of the three-state Potts model on the Sierpinski carpet, p.184427, 2002.
DOI : 10.1103/PhysRevB.65.184427
URL : https://hal.archives-ouvertes.fr/hal-00522894

P. Monceau, P. Y. Hsiao, . Phys, and . Lett, Anomalous dimension exponents on fractal structures for the Ising and three-state Potts model, Physics Letters A, vol.300, issue.6, 2002.
DOI : 10.1016/S0375-9601(02)00898-8
URL : https://hal.archives-ouvertes.fr/hal-00522896

P. Monceau and P. Y. Hsiao, Cluster Monte Carlo distributions in fractal dimensions between two and three: Scaling properties and dynamical aspects for the Ising model, Physical Review B, vol.66, issue.10, 2002.
DOI : 10.1103/PhysRevB.66.104422
URL : https://hal.archives-ouvertes.fr/hal-00701515

P. Y. Hsiao and P. Monceau, Critical behavior of the ferromagnetic Ising model on a Sierpi??ski carpet: Monte Carlo renormalization group study, Physical Review B, vol.67, issue.6, p.64411, 2003.
DOI : 10.1103/PhysRevB.67.064411

P. Monceau, P. Y. Hsiao, and E. P. , Cluster Monte Carlo dynamics for the Ising model on fractal structures in dimensions between one and two, The European Physical Journal B, vol.32, issue.1, 2003.
DOI : 10.1140/epjb/e2003-00076-8
URL : https://hal.archives-ouvertes.fr/hal-00701552