[1]   Alili, L., Matsumoto, H. and Shiraishi, T. (2001). On a triplet of exponential Brownian functionals, in Séminaire de Probabilités XXXV, 396–415, Lecture Notes in Math., 1755, Springer-Verlag. MR1837300

[2]   Alili, L. and Gruet, J.-C. (1997). An explanation of a generalized Bougerol’s identity in terms of hyperbolic Brownian motion, in [65].

[3]   Baldi, P., Casadio Tarabusi, E. and Figà-Talamanca, A. (2001). Stable laws arising from hitting distributions of processes on homogeneous trees and the hyperbolic half-plane, Pacific J. Math., 197, 257–273. MR1815256

[4]   Baldi, P., Casadio Tarabusi, E., Figà-Talamanca, A. and Yor, M. (2001). Non-symmetric hitting distributions on the hyperbolic half-plane and subordinated perpetuities, Rev. Mat. Iberoamericana, 17, 587–605. MR1900896

[5]   Barrieu, P., Rouault, A. and Yor, M. (2004). A study of the Hartman-Watson distribution motivated by numerical problems related to the pricing of Asian options, J. Appl. Prob., 41, 1049–1058. MR2122799

[6]   Biane, Ph. (1995). Intertwining of Markov semi-groups, some examples, in Sém. Prob., XXIX, Lecture Notes in Math., 1613, 30–36, Springer-Verlag, Berlin. MR1459446

[7]   Bougerol, Ph. (1983). Exemples de théorèmes locaux sur les groupes résolubles, Ann. Inst. H.Poincaré, 19, 369–391. MR730116

[8]   Brox, T. (1986). A one-dimensional diffusion process in a Wiener medium, Ann. Prob., 14, 1206–1218. MR866343

[9]   Buckdahn, R. and Föllmer, H. (1993). A conditional approach to the anticipating Girsanov transformation, Prob. Theory Relat. Fields, 95, 311–330. MR1213194

[10]   Carmona, P. Petit, F. and Yor, M. (1998). Beta-Gamma variables and intertwinings of certain Markov processes, Rev. Mat. Iberoamericana, 14, 311–367.

[11]   Comtet, A. (1987). On the Landau levels on the hyperbolic plane, Ann. Phys., 173, 185–209. MR870891

[12]   Comtet, A., Georgeot, B. and Ouvry, S. (1993). Trace formula for Riemannian surfaces with magnetic field, Phys. Rev. Lett., 71, 3786–3789.

[13]   Comtet, A., Monthus, C. and Yor, M. (1998). Exponential functionals of Brownian motion and disordered systems, J. Appl. Prob., 35, 255–271. MR1641852

[14]   Davies, E.B. (1989). Heat Kernels and Spectral Theory, Cambridge Univ. Press.

[15]   Debiard, A. and Gaveau, B. (1987). Analysis on root systems, Canad. J. Math., 39, 1281–1404. MR918384

[16]   Donati-Martin, C., Ghomrasni, R. and Yor, M. (2001). On certain Markov processes attached to exponential functionals of Brownian motion; application to Asian options, Rev. Mat. Iberoam., 17, 179–193. MR1846094

[17]   Donati-Martin, C., Matsumoto, H. and Yor, M. (2002). Some absolute continuity relationships for certain anticipative transformations of geometric Brownian motions, Publ. RIMS Kyoto Univ., 37, 295–326. MR1855425

[18]   Dufresne, D. (1990). The distribution of a perpetuity, with application to risk theory and pension funding, Scand. Actuarial J., 39–79. MR1129194

[19]   Dufresne, D. (2001). An affine property of the reciprocal Asian option process, Osaka J. Math., 38, 379–381. MR1833627

[20]   Dufresne, D. (2001). The integral of geometric Brownian motion, Adv. Appl. Prob., 33, 223–241. MR1825324

[21]   Dynkin, E.B. (1965). Markov Processes, I, Springer-Verlag.

[22]   Fay, J. (1977). Fourier coefficients of the resolvent for a Fuchsian group, J. Reine Angew. Math., 293, 143–203. MR506038

[23]   Geman, H. and Yor, M. (1992). Quelques relations entre processus de Bessel, options asiatiques et fonctions confluentes hypergéométriques, C.R. Acad. Sci., Paris, Série I, 314, 471–474. (Eng. transl. is found in [60].) MR1154389

[24]   Geman, H. and Yor, M. (1993). Bessel processes, Asian options, and perpetuities, Math. Finance, 3, 349–375. (also found in [60].)

[25]   Grosche, C. (1996). Path Integrals, Hyperbolic Spaces, and Selberg Trace Formulae, World Scientific.

[26]   Grosche, C. (1988). The path integral on the Poincaré upper half plane with a magnetic field and for the Morse potential, Ann. Phys. (N.Y.), 187, 110–134. MR969177

[27]   Grosche, C. and Steiner, F. (1998). Handbook of Feynman Path Integrals, Springer-Verlag.

[28]   Gruet, J.-C. (1996). Semi-groupe du mouvement Brownien hyperbolique, Stochastics Stochastic Rep., 56, 53–61. MR1396754

[29]   Gruet, J.-C. (1997). Windings of hyperbolic motion, in [65].

[30]   Hu, Y., Shi, Z. and Yor, M. (1999). Rates of convergence of diffusions with drifted Brownian potentials, Trans Amer. Math. Soc., 351, 3915–3934. MR1637078

[31]   Ikeda, N. and Matsumoto, H. (1999). Brownian motion on the hyperbolic plane and Selberg trace formula, J. Func. Anal., 162, 63–110. MR1682843

[32]   Ikeda, N. and Watanabe, S. (1989). Stochastic Differential Equations and Diffusion Processes, 2nd edn., North-Holland/Kodansha.

[33]   Ishiyama, K. (2005). Methods for evaluating density functions of exponential functionals represented as integrals of geometric Brownian motion, Method. Compu. Appl. Prob., 7, 271–283.

[34]   Johnson, N.L., Kotz, S. and Balakrishnan, N. (1994). Continuous Univariate Distributions, Vol. 1, 2nd edn., John Wiley & Sons.

[35]   Kawazu, K. and Tanaka, H. (1991). On the maximum of a diffusion process in a drifted Brownian environment, in Sém. Prob., XXVII, Lecture Notes in Math. 1557, 78–85, Springer-Verlag, Berlin. MR1308554

[36]   Kawazu, K. and Tanaka, H. (1997). A diffusion process in a Brownian environment with drift, J. Math. Soc. Japan, 49, 189–211. MR1601361

[37]   Kusuoka, S. (1982). The nonlinear transformation of Gaussian measures on Banach space and its absolute continuity, J. Fac. Sci., Univ. Tokyo Sect. IA, 29, 567–597.

[38]   Lebedev, N.N. (1972). Special Functions and their Applications, Dover, New York. MR350075

[39]   Liptser, R.S. and Shiryaev, A.N. (2001). Statistics of Random Processes I, General Theorey, 2nd. Ed., Springer-Verlag.

[40]   Matsumoto, H. (2001). Closed form formulae for the heat kernels and the Green functions for the Laplacians on the symmetric spaces of rank one, Bull. Sci. math., 125, 553–581. MR1869991

[41]   Matsumoto, H., Nguyen, L. and Yor, M. (2002). Subordinators related to the exponential functionals of Brownian bridges and explicit formulae for the semigroup of hyperbolic Brownian motions, in Stochastic Processes and Related Topics, 213–235, Proc. 12th Winter School at Siegmundsburg (Germany), R.Buckdahn, H-J.Engelbert and M.Yor, eds., Stochastic Monographs, Vol. 12, Taylor & Francis. MR1987318

[42]   Matsumoto, H. and Ogura, Y. (2004). Markov or non-Markov property of cM - X processes, J. Math. Soc. Japan, 56, 519–540. MR2048472

[43]   Matsumoto, H. and Yor, M. (1998). On Bougerol and Dufresne’s identity for exponential Brownian functionals, Proc. Japan Acad., 74 Ser.A., 152–155.

[44]   Matsumoto, H. and Yor, M. (1999). A version of Pitman’s 2M - X theorem for geometric Brownian motions, C.R. Acad. Sci., Paris, Série I, 328, 1067–1074. MR1696208

[45]   Matsumoto, H. and Yor, M. (2000). An analogue of Pitman’s 2M - X theorem for exponential Wiener functionals, Part I: A time inversion approach, Nagoya Math. J., 159, 125–166. MR1783567

[46]   Matsumoto, H. and Yor, M. (2001). An analogue of Pitman’s 2M - X theorem for exponential Wiener functionals, Part II: The role of the generalized Inverse Gaussian laws, Nagoya Math. J., 162, 65–86. MR1836133

[47]   Matsumoto, H. and Yor, M. (2001). A relationship between Brownian motions with opposite drifts via certain enlargements of the Brownian filtration, Osaka J. Math., 38, 383–398. MR1833628

[48]   Matsumoto, H. and Yor, M. (2003). On Dufresne’s relation between the probability laws of exponential functionals of Brownian motions with different drifts, J. Appl. Prob., 35, 184–206. MR1975510

[49]   Matsumoto, H. and Yor, M. (2005). Exponential Functionals of Brownian motion, I, Probability laws at fixed time, Probab. Surveys, 2, 312–347.

[50]   Paulsen, J. (1993). Risk theory in a stochastic economic environment, Stoch. Proc. Appl., 46, 327–361. MR1226415

[51]   Pitman, J.W. (1975). One-dimensional Brownian motion and the three-dimensional Bessel process, Adv. Appl. Prpb., 7, 511–526. MR375485

[52]   Ramer, R. (1974). On nonlinear transformations of Gaussian measures, J. Func. Anal., 15, 166–187. MR349945

[53]   Revuz, D. and Yor, M. (1999). Continuous Martingales and Brownian Motion, 3rd. Ed., Springer-Verlag, Berlin.

[54]   Rogers, L.C.G. and Pitman, J.W. (1981). Markov functions, Ann. Prob., 9, 573–582. MR624684

[55]   Rogers, L.C.G. and Shi, Z. (1995). The value of an Asian option, J. Appl. Prob., 32, 1077–1088. MR1363350

[56]   Seshadri, V. (1993). The Inverse Gaussian Distributions, Oxford Univ. Press.

[57]   Watson, G.N. (1944). A Treatise on the Theory of Bessel Functions, 2nd Ed., Cambridge Univ. Press.

[58]   Yano, K. (2002). A generalization of the Buckdahn-Föllmer formula for composite transformations defined by finite dimensional substitution, J. Math. Kyoto Univ., 42, 671–702. MR1967053

[59]   Yor, M. (1997). Some Aspects of Brownian Motion, Part II: Some Recent Martingale Problems, Birkhäuser.

[60]   Yor, M. (2001). Exponential Functionals of Brownian Motion and Related Processes, Springer-Verlag.

[61]   Yor, M. (1989) Une extension markovienne de l’algébre des lois béta-gamma, C.R. Acad. Sci., Paris, Série I, 308, 257–260.

[62]   Yor, M. (1992). Sur les lois des fonctionnelles exponentielles du mouvement brownien, considérées en certains instants aléatoires, C.R. Acad. Sci., Paris, Série I, 314, 951–956. (Eng. transl. is found in [60].) MR1168332

[63]   Yor, M. (1992). On some exponential functionals of Brownian motion, Adv. Appl. Prob., 24, 509–531. (also found in [60].) MR1174378

[64]   Yor, M. (2001). Interpretations in terms of Brownian and Bessel meanders of the distribution of a subordinated perpetuity, in Lévy Processes, Theory and Applications, 361–375, eds. O.E.Barndorff-Nielsen, T.Mikosch and S.I.Resnick, Birkhäser. MR1833705

[65]   Yor, M. (Ed.) (1997). Exponential Functionals and Principal Values related to Brownian Motion, A collection of research papers, Biblioteca de la Revista Matemática Iberoamericana. MR1648653