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All issues Volume 14 (2010) ESAIM: PS, 14 (2010) 16-52 References
Free Access
Issue
ESAIM: PS
Volume 14, 2010
Page(s) 16 - 52
DOI https://doi.org/10.1051/ps:2008021
Published online 11 February 2010
  1. A. Ancona, Théorie du potentiel sur les graphes et les variétés. École d'été de Probabilités de Saint-Flour XVIII, 1988. Lect. Notes Math. 1427 (1990) 1–112. Springer, Berlin. [CrossRef] [Google Scholar]
  2. D. Applebaum, Compound Poisson processes and Lévy processes in groups and symmetric spaces. J. Theoret. Probab. 13 (2000) 383–425. [CrossRef] [MathSciNet] [Google Scholar]
  3. D. Applebaum and H. Kunita, Lévy flows on manifolds and Lévy processes on Lie groups. J. Math. Kyoto Univ. 33 (1993) 1103–1123. [MathSciNet] [Google Scholar]
  4. I. Bailleul, Poisson boundary of a relativistic diffusion. Probab. Theory Related Fields 141 (2008) 283–329. [CrossRef] [MathSciNet] [Google Scholar]
  5. P. Baldi and M. Chaleyat-Maurel, Sur l'équivalent du module de continuité des processus de diffusion, in Séminaire de Probabilités, XXI. Lect. Notes Math. 1247 (1987) 404–427. Springer, Berlin. [CrossRef] [Google Scholar]
  6. J.K. Beem, P.E. Ehrlich and K.L. Easley, Global Lorentzian geometry, volume 202 of Monographs and Textbooks in Pure and Applied Mathematics. Marcel Dekker Inc., New York, second edition (1996). [Google Scholar]
  7. A.N. Borodin and P. Salminen, Handbook of Brownian motion – facts and formulae. Probability and its Applications. Birkhäuser Verlag, Basel. Second edition (2002). [Google Scholar]
  8. Y. Derriennic, Lois “zéro ou deux” pour les processus de Markov. Applications aux marches aléatoires. Ann. Inst. H. Poincaré Sect. B (N.S.) 12 (1976) 111–129. [MathSciNet] [Google Scholar]
  9. R.M. Dudley, Lorentz-invariant Markov processes in relativistic phase space. Ark. Mat. 6 (1966) 241–268. [CrossRef] [MathSciNet] [Google Scholar]
  10. R.M. Dudley, Asymptotics of some relativistic Markov processes. Proc. Natl. Acad. Sci. USA 70 (1973) 3551–3555. [CrossRef] [Google Scholar]
  11. C. Frances, Géométrie et dynamique Lorentzienne conformes. École Normale Supérieure de Lyon (2002). [Google Scholar]
  12. R. Geroch, E.H. Kronheimer, and Roger Penrose, Ideal points in space-time. Proc. Roy. Soc. Lond. Ser. A 327 (1972) 545–567. [Google Scholar]
  13. A. Grigor'yan, Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds. Bull. Amer. Math. Soc. (N.S.) 36 (1999) 135–249. [CrossRef] [Google Scholar]
  14. Y. Guivarc'h. Une loi des grands nombres pour les groupes de Lie. In Séminaire de Probabilités, I . Exposé No. 8. Dépt. Math. Informat., Univ. Rennes, France (1976). [Google Scholar]
  15. T.R. Hurd, The projective geometry of simple cosmological models. Proc. Roy. Soc. Lond. Ser. A 397 (1985) 233–243. [CrossRef] [Google Scholar]
  16. N. Ikeda and S. Watanabe, Stochastic differential equations and diffusion processes. North-Holland Mathematical Library, Vol. 24. North-Holland Publishing Co., Amsterdam, second edition (1989). [Google Scholar]
  17. F.I. Karpelevič, V.N. Tutubalin and M.G. Šur, Limit theorems for compositions of distributions in the Lobačevskiĭ plane and space. Teor. Veroyatnost. i Primenen. 4 (1959) 432–436. [MathSciNet] [Google Scholar]
  18. M. Liao, Lévy processes in Lie groups, volume 162 of Cambridge Tracts in Mathematics. Cambridge University Press, Cambridge (2004). [Google Scholar]
  19. J. Neveu, Mathematical foundations of the calculus of probability. Translated by Amiel Feinstein. Holden-Day Inc., San Francisco, Californie (1965). [Google Scholar]
  20. B. O'Neill, Semi-Riemannian geometry. With applications to relativity, volume 103 of Pure Appl. Math. Academic Press Inc. (Harcourt Brace Jovanovich Publishers), New York (1983). [Google Scholar]
  21. R.G. Pinsky, Positive harmonic functions and diffusion, volume 45 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge (1995). [Google Scholar]
  22. J.-J. Prat, Étude asymptotique et convergence angulaire du mouvement brownien sur une variété à courbure négative. C. R. Acad. Sci. Paris Sér. A-B 280 Aiii (1975) A1539–A1542. [Google Scholar]
  23. A. Raugi, Fonctions harmoniques sur les groupes localement compacts à base dénombrable. Bull. Soc. Math. France, Mémoire 54 (1977) 5–118. [Google Scholar]
  24. A. Raugi, Périodes des fonctions harmoniques bornées. In Seminar on Probability, Rennes, 1978 (French). Exposé No. 10. Univ. Rennes, France (1978). [Google Scholar]

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