J. Azzam, M. A. Hall, and R. S. Strichartz, Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket, Transactions of The American Mathematical Society, vol.360, issue.4, pp.2089-2131, 2007.

M. T. Barlow, Diffusions on fractals, Lecture notes Math, vol.1690, 1998.

M. T. Barlow and E. A. Perkins, Brownian motion on the Sierpi?ski gasket, Probab. Theory Related Fields, vol.79, issue.4, pp.543-623, 1988.

Z. Balogh, R. Hoefer-isenegger, and J. T. Tayson, Lifts of Lipschitz Maps and Horizontal fractals in the Heisenberg group, Ergodic Theory and Dynamical Systems, vol.26, issue.3, pp.621-651, 2006.

Z. M. Balogh and T. J. Tyson, Hausdorff dimension of self-similar and self-affine fractals in the Heisenberg group, Proceedings of the London Mathematical Societey, vol.91, issue.1, pp.153-183, 2005.

M. T. Barlow and J. Kigami, Localized eigenfunctions of the Laplacian on p.c.f self-similar sets, J.London. Math. Soc, vol.56, issue.2, pp.320-332, 1997.

F. Cipriani and J. Sauvageot, Derivations as square roots of Dirichlet forms, J. Funct. Anal, vol.201, pp.78-120, 2003.

F. Cipriani and J. Sauvageot, Fredholm modules on p.c.f. self-similar fractals and their conformal geometry, Comm. Math. Phys, vol.286, pp.541-558, 2009.

A. Eberle, Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators, Springer Lecture Notes in Mathematics 1718, 1999.

M. Fukushima, Y. Oshima, and M. Takeda, Dirichlet Forms and Symmetric Markov Processes, 2011.

S. Goldstein, Percolation theory and ergodic theory of infinite particle systems, IMA vol. Math Appl, vol.8, pp.121-128, 1987.

M. Gordina and T. Laetsch, Sub-Laplacians on Sub-Riemannian Manifolds. Potential Anal, vol.44, issue.4, pp.811-837, 2016.

B. M. Hambly and T. J. Lyons, Stochastic Area For Brownian Motion on the Sierpinski Gasket, The Annals of Probability, vol.26, issue.1, pp.132-148, 1998.

M. Hinz, M. Röckner, and A. Teplyaev, Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces, Stochastic Processes and their Applications, vol.123, pp.4373-4406, 2013.

J. Kigami, Harmonic calculus on P.C.F. self-similar sets, Trans. Amer. Math. Soc, vol.335, issue.2, pp.721-755, 1993.

J. Kigami, Laplacians on self-similar sets and their spectral distributions, Fractal Geometry and Stochastics, vol.37, pp.221-238, 1995.

J. Kigami, Analysis on Fractals, 2001.

J. Kigami, Measurable Riemannian geometry on the Sierpinski gasket: The Kusuoka measure and the Gaussian heat kernel estimate, Math. Ann, vol.4, pp.781-804, 2008.

J. Kigami, Volume doubling measures and heat kernel estimates on self-similar sets, Mem. Amer. Math. Soc, vol.932, pp.1-94, 2009.

J. Kigami and M. L. Lapidus, Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar sets, Commun. Math. Phys, vol.158, pp.93-125, 1993.

J. Kigami and M. L. Lapidus, Self-similarity of volume measures for Laplacians on P.C.F. self-similar fractals, Commun. Math. Phys, vol.217, pp.165-180, 2001.

S. Kusuoka, A diffusion process on a fractal, Probabilistic methods in mathematical physics. Proceedings Taniguchi Symposium, Katata/Kyoto 1985. Amesterdam:Kino Kuniya-North Holland, pp.251-274, 1987.

S. Kusuoka, Dirichlet forms on fractals and products of random matrices, Publ. Res. Inst. Math. Sci, vol.25, pp.659-680, 1989.

S. Kusuoka, Lecture on diffusion processes on nested fractals, Statistical Mechanics and Fractals, SLecture Notes in Mathematics 1567, pp.39-98, 1993.

M. L. Lapidus, Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture, Trans. Amer. Math. Soc, vol.325, pp.465-529, 1991.

M. L. Lapidus, Vibrations of fractal drums, the Riemann hypothesis, waves in fractal media, and the Weyl-Berry conjecture, Ordinary and Partial Differential Equations, vol.IV, pp.126-209, 1992.

M. L. Lapidus, Analysis on fractals, Laplacians on self-similar sets, noncommutative geometry and spectral dimensions, Topological Methods in Nonlinear Analysis, vol.4, pp.137-195, 1994.

M. L. Lapidus, Towards a noncommutative fractal geometry? Laplacians and volume measures on fractals, vol.208, pp.211-252, 1997.

M. L. Lapidus, Search of the Riemann Zeros: Strings, Fractal Membranes and Noncommutative Spacetimes, 2008.

M. L. Lapidus, M. Van-frankenhuijsen, and F. Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings, Springer Monographs in Mathematics, 2006.

A. Lejay, Yet another introduction to rough paths, Séminaire de Probabilités XLII, pp.1-101, 1979.
URL : https://hal.archives-ouvertes.fr/inria-00107460

T. Lindstrøm, Brownian motion on nested fractals, Mem. Amer. Math. Soc, p.420, 1990.

Y. Massaya, H. Masayoshi, and J. Kigami, Mathematics of Fractals Translations of Mathematical Monographs, vol.167, 1997.

P. Mattila, Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability, 1995.

R. Montgomery, A tour of subriemannian geometries, their geodesics and applications, Mathematical Surveys and Monographs, vol.91, 2002.

P. Peterson and R. Geometry, , 1998.

R. , Spectrum of harmonic excitations on fractals, J. Physique, vol.45, pp.191-206, 1984.

R. Rammal and G. Toulouse, Random walks on fractal structures and percolation cluster, J. Physique Letters, vol.44, pp.13-22, 1983.

M. A. , Metrics on states from actions of compact groups, Doc. Math, vol.3, pp.215-229, 1998.

M. A. , Metrics on state spaces, Doc. Math, vol.4, pp.559-600, 1999.

W. Sierpinski, Sur une courbe dont tout point est un point de ramification, C.R. Acad. Sci. Paris, vol.160, pp.302-305, 1915.

R. S. Strichartz, Differential Equations on Fractals: A Tutorial, 2006.

A. Teplyaev, Energy and Laplacian on the Sierpinski gasket, Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot, vol.1, pp.131-154, 2004.

A. Teplyaev, Harmonic coordinates on fractals with finitely ramified cell structure, Canad. J. Math, vol.60, pp.457-480, 2008.

J. C. Varilly, H. Figueroa, and J. M. Garcia-bondia, Elements of Noncommutative Geometry. Birkhäuser, 2001.