A. Ancona, Théorie du potentiel sur les graphes et les variétés InÉcoleIn´InÉcole d'´ eté de Probabilités de Saint-Flour XVIII?1988, Lecture Notes in Math, vol.1427, pp.1-112, 1990.

R. Azencott, Construction De L???espace De Poisson, Proc. London Math. Soc. (3), pp.1-90603, 1970.
DOI : 10.1007/BFb0059353

G. Choquet and J. Deny, Sur l'´ equation de convolution µ = µ * ?, C. R. Acad. Sci. Paris, vol.250, issue.20, pp.799-801, 1960.

J. Cigler, V. Losert, and P. Michor, Banach modules and functors on categories of Banach spaces, Petritis. Random walks on randomly oriented lattices. Markov Process. Related Fields, pp.391-412, 1979.

]. J. Doo59 and . Doob, Discrete potential theory and boundaries, Jozef Dodziuk. Difference equations, pp.787-794, 1959.

P. Gerl, Random walks on graphs with a strong isoperimetric property, Journal of Theoretical Probability, vol.63, issue.2, pp.171-187, 1988.
DOI : 10.1007/BF01046933

N. Guillotin-plantard and A. L. Ny, A functional limit theorem for a 2d-random walk with dependent marginals, Electronic Communications in Probability, vol.13, issue.0, pp.337-351, 2008.
DOI : 10.1214/ECP.v13-1386
URL : https://hal.archives-ouvertes.fr/hal-00148564

[. Grigor-'yan and A. Telcs, Sub-Gaussian estimates of heat kernels on infinite graphs. Duke Math, Groupes de Liè a croissance polynomiale. C. R. Acad. Sci, pp.451-510, 2001.

P. Sér and .. , Uniform distribution and the projection method, Croissance polynomiale et périodes des fonctions harmoniques Quasicrystals and discrete geometry, pp.237-239333, 1970.

I. A. Ignatyuk, V. A. Malyshev, V. V. Shcherbakov, ]. A. Katz, M. A. Duneau-]-v et al., Measure-theoretic boundaries of Markov chains, 0-2 laws and entropy. In Harmonic analysis and discrete potential theory (Frascati, 1991) The Poisson formula for groups with hyperbolic properties Quasiperiodic patterns and icosahedral symmetry Explicit expression for the generating function counting Gessel's walks Random walks on discrete groups: boundary and entropy Boundary and entropy of space homogeneous Markov chains, Probability in mathematics. xv with applications to Markov operators. Math. Ann, pp.43-10235, 1983.

N. D. Macheras, On inductive limits of measure spaces and projective limits of Lp-spaces, Mathematika, vol.11, issue.01, pp.116-130, 1989.
DOI : 10.1016/0047-259X(73)90009-2

N. D. Macheras, On inductive limits of measure spaces, Rendiconti del Circolo Matematico di Palermo, vol.73, issue.2, pp.441-456, 1995.
DOI : 10.1007/BF02844679

R. S. Martin, Minimal positive harmonic functions, Transactions of the American Mathematical Society, vol.49, issue.1, pp.137-172241, 1941.
DOI : 10.1090/S0002-9947-1941-0003919-6

G. Matheron, G. De-marsily, ]. P. Ney, and F. Spitzer, Is transport in porous media always diffusive? A counterexample, Water Resources Research, vol.2, issue.2, pp.901-917116, 1966.
DOI : 10.1029/WR016i005p00901

C. Oguey, M. Duneau, and A. Katz, A geometrical approach of quasiperiodic tilings, Communications in Mathematical Physics, vol.304, issue.II, pp.99-118, 1988.
DOI : 10.1007/BF01218479

. [-p-`-en09-]-f.-p-`-ene, Transient random walk in with stationary orientations, ESAIM: Probability and Statistics, vol.13, pp.417-436, 2009.

R. Robert, . Phelps, N. J. Princeton, O. Toronto, and . London, Lectures on Choquet's theorem, Pól21] Georg Pólya. ¨ Uber eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz, pp.13149-160, 1921.

D. Pétritis, Mathematical fundations of quantum mechanics and applications, 2001.

K. Raschel, Green functions and Martin compactification for killed random walks related to SU(3), Electronic Communications in Probability, vol.15, issue.0, pp.176-190, 2010.
DOI : 10.1214/ECP.v15-1543
URL : https://hal.archives-ouvertes.fr/hal-00425651

J. Renaultroh49 and ]. V. Rohlin, On the fundamental ideas of measure theory, Lecture Notes in Mathematics Mat. Sbornik N.S, vol.793, issue.5167 103, pp.52-25107, 1949.

A. Stanley and . Sawyer, Martin boundaries and random walks, Harmonic functions on trees and buildings, pp.17-44, 1995.

D. Shechtman, I. Blech, D. Gratias, and J. W. Cahn, Metallic Phase with Long-Range Orientational Order and No Translational Symmetry, Physical Review Letters, vol.53, issue.20, pp.1951-1953, 1984.
DOI : 10.1103/PhysRevLett.53.1951

M. Schlottmann, Cut-and-project sets in locally compact Abelian groups, Quasicrystals and discrete geometry Principles of random walks, pp.247-264, 1976.
DOI : 10.1090/fim/010/09

]. A. Tur38 and . Turing, On computable numbers, with an application to the entscheidungsproblem . a correction, Proceedings of the London Mathematical Society, p.544, 1938.

]. N. Var85, . Th, and . Varopoulos, Isoperimetric inequalities and Markov chains, vi [Wik12] Wikipedia. Penrose tiling ? wikipedia, the free encyclopedia, pp.215-239, 1985.

W. Woess, The martin boundary for harmonic functions on groups of automorphisms of a homogeneous tree, Monatshefte f???r Mathematik, vol.26, issue.1, pp.55-72, 1920.
DOI : 10.1007/BF01470065

W. Woess, Random walks on infinite graphs and groups, volume 138 of Cambridge Tracts in Mathematics, pp.45-48, 2000.