Théorie du renouvellement pour des chaînes semi-markoviennes transientes, Ann. Inst. H. Poincaré Probab. Statist, vol.24, issue.4, pp.507-569, 1988. ,
An introduction to Poisson boundaries of Lie groups, Probability measures on groups: recent directions and trends, pp.1-90, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00077299
A balanced excited random walk, C. R. Math. Acad. Sci. Paris, vol.349, issue.7-8, pp.459-462, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00514926
, Random walks on randomly oriented lattices. Markov Process. Related Fields, vol.9, p.10, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00121151
A local limit theorem for random walks in random scenery and on randomly oriented lattices ,
URL : https://hal.archives-ouvertes.fr/hal-00455154
, , vol.39, pp.2079-2118, 2011.
Persistent random walks, variable length Markov chains and piecewise deterministic Markov processes, Markov Process. Related Fields, vol.19, issue.1, pp.1-50, 2013. ,
Context trees, variable length Markov chains and dynamical sources, Séminaire de Probabilités XLIV, vol.2046, pp.1-39, 2012. ,
Recurrence of multidimensional persistent random walks. Fourier and series criteria, Bernoulli, vol.26, issue.2, p.9, 2020. ,
Persistent random walks. I. Recurrence versus transience, J. Theoret. Probab, vol.31, issue.1, pp.232-243, 2018. ,
Persistent random walks. II. Functional scaling limits, J. Theoret. Probab, vol.32, issue.2, pp.633-658, 2019. ,
Normal approximation by Stein's method. Probability and its Applications, 2011. ,
On the distribution of values of sums of random variables, Mem. Amer. Math. Soc, issue.6, p.12, 1951. ,
Random walk with barycentric self-interaction, J. Stat. Phys, vol.143, issue.5, pp.855-888, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00659621
An embedding for the Kesten-Spitzer random walk in random scenery, Stochastic Process. Appl, vol.82, issue.2, p.15, 1999. ,
Marche aléatoire sur un di-graphe et frontière de Martin, C. R. Math. Acad. Sci. Paris, vol.350, issue.1-2, pp.87-90, 2012. ,
Markov processes which are homogeneous in the second component, I. Teor. Verojatnost. i Primenen, vol.14, issue.4, pp.3-14, 1969. ,
Limit theorems for stationary Markov processes with L 2 -spectral gap, Ann. Inst. Henri Poincaré Probab. Stat, vol.48, issue.2, pp.396-423, 2012. ,
Asymptotic expansions in multidimensional Markov renewal theory and first passage times for Markov random walks, Adv. in Appl. Probab, vol.33, issue.3, pp.652-673, 2001. ,
Stein's method for the beta distribution and the Pólya-Eggenberger urn, J. Appl. Probab, vol.50, issue.4, pp.1187-1205, 2013. ,
A renewal theorem for strongly ergodic Markov chains in dimension d ? 3 and centered case, Potential Anal, vol.34, issue.4, pp.385-410, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00522036
Multidimensional renewal theory in the non-centered case. Application to strongly ergodic Markov chains, Potential Anal, vol.38, issue.2, pp.471-497, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00632893
Transient random walks on 2D-oriented lattices, Teor. Veroyatn. Primen, vol.52, issue.4, pp.815-826, 2007. ,
A functional limit theorem for a 2D-random walk with dependent marginals, Electron. Commun. Probab, vol.13, issue.2, pp.337-351, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00148564
Groupes de Lieà croissance polynomiale, C. R. Acad. Sci. Paris Sér. A-B, vol.271, issue.2, pp.237-239, 1970. ,
Application d'un théorème limite localà la transience età la récurrence de marches de Markov, Théorie du potentiel, vol.1096, p.11, 1983. ,
Théorème local pour chaînes de Markov de probabilité de transition quasi-compacte. Applications aux chaînes V -géométriquement ergodiques et aux modèles itératifs, Ann. Inst. H. Poincaré Probab. Statist, vol.41, issue.2, pp.179-196, 2005. ,
A local limit theorem for densities of the additive component of a finite Markov additive process. Statist, Probab. Lett, vol.83, issue.9, pp.2119-2128, 2013. ,
A uniform Berry-Esseen theorem on M -estimators for geometrically ergodic Markov chains, Bernoulli, vol.18, issue.2, pp.703-734, 2012. ,
The Nagaev-Guivarc'h method via the Keller-Liverani theorem, Bull. Soc. Math. France, vol.138, issue.3, pp.415-489, 2010. ,
On the recurrence set of planar Markov random walks, J. Theoret. Probab, vol.26, issue.1, pp.169-197, 2013. ,
Random walks on discrete groups: boundary and entropy, Ann. Probab, vol.11, issue.3, pp.457-490, 1983. ,
Amenability and the Liouville property, Israel J. Math, vol.149, issue.2, pp.45-85, 2005. ,
Boundary and entropy of space homogeneous Markov chains, Ann. Probab, vol.30, issue.1, pp.323-363, 2002. ,
Perturbation theory for linear operators, Classics in Mathematics, issue.2, 1995. ,
Random walks on periodic graphs, Trans. Amer. Math. Soc, vol.360, issue.11, pp.6065-6087, 2008. ,
A limit theorem related to a new class of self-similar processes, Z. Wahrsch. Verw. Gebiete, vol.50, issue.1, p.13, 1979. ,
Renewal theory for functionals of a Markov chain with general state space, Ann. Probability, vol.2, issue.2, pp.355-386, 1974. ,
Random walks with internal degrees of freedom. I. Local limit theorems, Z. Wahrsch. Verw. Gebiete, vol.63, issue.1, pp.85-95, 1983. ,
On quasi-compact Markov operators, Ann. Probability, vol.2, p.10, 1974. ,
Is transport in porous media always diffusive? a counterexample, Water Resour. Res, vol.16, issue.5, pp.901-917, 1980. ,
Markov additive processes II. Large deviations, Ann. Probab, vol.15, issue.2, pp.593-609, 1987. ,
The Martin boundary for random walk, Trans. Amer. Math. Soc, vol.121, issue.2, pp.116-132, 1966. ,
Markov additive processes: large deviations for the continuous time case, Probability theory and mathematical statistics, vol.II, pp.377-389, 1985. ,
, Vertex-reinforced random walk. Probab. Theory Related Fields, vol.92, pp.117-136, 1992.
, Transient random walk in with stationary orientations. ESAIM: Probability and Statistics, vol.13, pp.417-436, 2009.
On recurrence and transience of selfinteracting random walks, Bull. Braz. Math. Soc. (N.S.), vol.44, issue.4, pp.841-867, 2013. ,
Über eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Straßennetz, Math. Ann, vol.84, issue.1-2, p.15, 1921. ,
Random walks with occasionally modified transition probabilities, Illinois J. Math, vol.54, issue.4, pp.1213-1238, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00433533
, Grundlehren der Mathematischen Wissenschaften
, , 1999.
Principles of random walks, Graduate Texts in Mathematics, vol.34, issue.3, p.15, 1976. ,
Green's functions for random walks on Z N, Proc. London Math. Soc, vol.77, issue.3, pp.215-240, 1998. ,
Asymptotic estimates of the Green functions and transition probabilities for Markov additive processes, Electron. J. Probab, vol.12, issue.6, pp.138-180, 2007. ,
Vertex-reinforced random walk on arbitrary graphs, Ann. Probab, vol.29, issue.1, pp.66-91, 2001. ,
The Martin boundary for harmonic functions on groups of automorphisms of a homogeneous tree, Monatsh. Math, vol.120, issue.1, pp.55-72, 1995. ,
Random walks on infinite graphs and groups, Cambridge Tracts in Mathematics, vol.138, issue.7, 2000. ,