A. Ancona, Negatively curved manifolds, elliptic operators, and the Martin boundary, Ann. of Math. (2) 125 (1987), no. 3, 495–536.
, Convexity at infinity and Brownian motion on manifolds with unbounded negative curvature, Rev. Mat. Iberoamericana 10 (1994), no. 1, 189–220.
M.T. Anderson, The Dirichlet problem at infinity for manifolds of negative curvature, J. Differential Geom. 18 (1983), no. 4, 701–721 (1984).
M.T. Anderson, R. Schoen, Positive harmonic functions on complete manifolds of negative curvature, Ann. of Math. (2) 121 (1985), no. 3, 429–461.
M. Arnaudon, A. Thalmaier, S. Ulsamer, Existence of non-trivial harmonic functions on Cartan-Hadamard manifolds of unbounded curvature, Math. Z. 263 (2009), 369– 409.
R.L. Bishop, B. O’Neill, Manifolds of Negative Curvature, Trans. Amer. Math. Soc. 145 (1968), 1–49.
A. Borbély, The nonsolvability of the Dirichlet problem on negatively curved manifolds, Differential Geom. Appl. 8 (1998), no. 3, 217–237.
H.I. Choi, Asymptotic Dirichlet problems for harmonic functions on Riemannian manifolds, Trans. Amer. Math. Soc. 281 (1984), no. 2, 691–716.
M. Cranston, On specifying invariant σ-fields. Seminar on Stochastic Processes 1991, Birkhäuser, Progr. Probab., vol. 29 (1992), 15–37.
M. Cranston, C. Mueller, A review of recent and older results on the absolute continuity of harmonic measure, Geometry of random motion (Ithaca, N.Y., 1987), Contemp. Math., vol. 73, Amer. Math. Soc., Providence, RI, 1988, pp. 9–19.
P. Eberlein, B. O’Neill, Visibility Manifolds. Pacific J. Math. 46 (1973), no. 1, 45– 109.
M. Émery, Stochastic calculus in manifolds, Universitext, Springer-Verlag, Berlin, 1989, With an appendix by P.-A. Meyer.
R.E. Greene, H. Wu, Function theory on manifolds which possess a pole, Lecture Notes in Mathematics, vol. 699, Springer, Berlin, 1979.
W. Hackenbroch, A. Thalmaier, Stochastische Analysis. Eine Einführung in die Theorie der stetigen Semimartingale, B. G. Teubner, Stuttgart, 1994.
I. Holopainen, A. Vähäkangas, Asymptotic Dirichlet problem on negatively curved spaces. International Conference on Geometric Function Theory, Special Functions and Applications (R.W. Barnard and S. Ponnusamy, eds.), J. Analysis 15 (2007), 63–110.
E.P. Hsu, Brownian motion and Dirichlet problems at infinity, Ann. Probab. 31 (2003), no. 3, 1305–1319.
P. Hsu, W.S. Kendall, Limiting angle of Brownian motion in certain two-dimensional Cartan-Hadamard manifolds, Ann. Fac. Sci. Toulouse Math. (6) 1 (1992), no. 2, 169– 186.
P. Hsu, P. March, The limiting angle of certain Riemannian Brownian motions, Comm. Pure Appl. Math. 38 (1985), no. 6, 755–768.
A. Katok, Four applications of conformal equivalence to geometry and dynamics, Ergodic Theory Dynam. Systems 8∗ (1988), no. Charles Conley Memorial Issue, 139–152.
W.S. Kendall, Brownian motion on a surface of negative curvature, Seminar on probability, XVIII, Lecture Notes in Math., vol. 1059, Springer, Berlin, 1984, pp. 70– 76.
Ju.I. Kifer, Brownian motion and harmonic functions on manifolds of negative curvature, Theor. Probability Appl. 21 (1976), no. 1, 81–95.
, Brownian motion and positive harmonic functions on complete manifolds of nonpositive curvature, From local times to global geometry, control and physics (Coventry, 1984/85), Pitman Res. Notes Math. Ser., vol. 150, Longman Sci. Tech., Harlow, 1986, pp. 187–232.
H. Le, Limiting angle of Brownian motion on certain manifolds, Probab. Theory Related Fields 106 (1996), no. 1, 137–149.
, Limiting angles of Γ-martingales, Probab. Theory Related Fields 114 (1999), no. 1, 85–96.
F. Ledrappier, Propriété de Poisson et courbure négative, C. R. Acad. Sci. Paris Sér. I Math. 305 (1987), no. 5, 191–194.
P. March, Brownian motion and harmonic functions on rotational ly symmetric manifolds, Ann. Probab. 11 (1986) 793–801.
F. Mouton, Comportement asymptotique des fonctions harmoniques en courbure négative, Comment. Math. Helv. 70 (1995), 475–505.
É. Pardoux, Grossissement d’une filtration et retournement du temps d’une diffusion, Séminaire de Probabilités, XX, 1984/85, Lecture Notes in Math., vol. 1204, Springer, Berlin, 1986, pp. 48–55.
J.-J. Prat, Étude asymptotique du mouvement brownien sur une variété riemannienne à courbure négative, C. R. Acad. Sci. Paris Sér. A-B 272 (1971), A1586–A1589.
, Étude asymptotique et convergence angulaire du mouvement brownien sur une variété à courbure négative, C. R. Acad. Sci. Paris Sér. A-B 280 (1975), A1539– A1542.
D. Sullivan, The Dirichlet problem at infinity for a negatively curved manifold, J. Differential Geom. 18 (1983), no. 4, 723–732 (1984).
A. Vähäkangas, Dirichlet problem at infinity for A-harmonic functions, Potential Anal. 27 (2007), no. 1, 27–44.
H.H. Wu, Function theory on noncompact Kähler manifolds, Complex differential geometry, DMV Sem., vol. 3, Birkhäuser, Basel, 1983, pp. 67–155.