Geodesic
Hitting spheres on hyperbolic spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 57 (2012) no. 3, pp. 560-587
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{TVP_2012_57_3_a7,
     author = {V. Cammarota and E. Orsingher},
     title = {Hitting spheres on hyperbolic spaces},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {560--587},
     year = {2012},
     volume = {57},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_2012_57_3_a7/}
}
TY  - JOUR
AU  - V. Cammarota
AU  - E. Orsingher
TI  - Hitting spheres on hyperbolic spaces
JO  - Teoriâ veroâtnostej i ee primeneniâ
PY  - 2012
SP  - 560
EP  - 587
VL  - 57
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TVP_2012_57_3_a7/
LA  - en
ID  - TVP_2012_57_3_a7
ER  - 
%0 Journal Article
%A V. Cammarota
%A E. Orsingher
%T Hitting spheres on hyperbolic spaces
%J Teoriâ veroâtnostej i ee primeneniâ
%D 2012
%P 560-587
%V 57
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_2012_57_3_a7/
%G en
%F TVP_2012_57_3_a7
V. Cammarota; E. Orsingher. Hitting spheres on hyperbolic spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 57 (2012) no. 3, pp. 560-587. http://geodesic.mathdoc.fr/item/TVP_2012_57_3_a7/

[1] Baldi P., Casadio Tarabusi E., Figà-Talamanca A., Yor M., “Non-symmetric hitting distributions on the hyperbolic half-plane and subordinated perpetuities”, Rev. Mat. Iberoam., 17:3 (2001), 587–605 | DOI | MR | Zbl

[2] Borodin A. N., “Gipergeometricheskaya diffuziya”, Zap. nauchn. sem. POMI, 361, 2008, 29–44 | MR

[3] Borodin A. N., Salminen P., Handbook of Brownian Motion — Facts and Formulae, Birkhäuser, Basel, 2002, 672 pp. | MR | Zbl

[4] Byczkowski T., Graczyk P., Stós A., “Poisson kernels of half-spaces in real hyperbolic spaces”, Rev. Mat. Iberoam., 23:1 (2007), 85–126 | DOI | MR | Zbl

[5] Byczkowski T., Malecki J., “Poisson kernel and Green function of the ball in the real hyperbolic spaces”, Potential Anal., 27 (2007), 1–16 | DOI | MR

[6] Cammarota V., Orsingher E., “Travelling randomly on the Poincaré half-plane with a Pythagorean compass”, J. Statist. Phys., 130:3 (2008), 455–482 | DOI | MR | Zbl

[7] Cammarota V., Orsingher E., “Cascades of particles moving at finite velocity in hyperbolic spaces”, J. Statist. Phys., 133:6 (2008), 1137–1159 | DOI | MR | Zbl

[8] Cammarota V., Orsingher E., Hitting spheres on hyperbole spaces, arXiv: 1104.1043 [math.PR]

[9] Chavel I., Eigenvalues in Riemannian Geometry, Academic Press, Orlando, 1984, 362 pp. | MR | Zbl

[10] Davies E. B., Heat Kernels and Spectral Theory, Cambridge Univ. Press, Cambridge, 1990, 197 pp. | MR

[11] Grigor'yan A., “Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds”, Bull. Amer. Math. Soc., 36:2 (1999), 135–249 | DOI | MR

[12] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, ryadov i proizvedenii, BKhV-Peterburg, SPb., 2011, 1176 pp.

[13] Gruet J.-C., “A note on hyperbolic von Mises distributions”, Bernoulli, 6:6 (2000), 1007–1020 | DOI | MR | Zbl

[14] Helgason S., Groups and Geometric Analysis, Academic Press, Orlando, 1984, 654 pp. | MR | Zbl

[15] Kelbert M., Suhov Yu. M., “Branching diffusions on $\footnotesize H^d$ with variable fission: the Hausdorff dimension of the limiting set”, Teoriya veroyatn. i ee primen., 51:1 (2006), 241–255 | MR

[16] Lao L., Orsingher E., “Hyperbolic and fractional hyperbolic Brownian motion”, Stochastics, 79:6 (2007), 505–522 | MR | Zbl

[17] Matsumoto H., Yor M., “Exponential functionals of Brownian motion. I: Probability laws at fixed time”, Probab. Surv., 2 (2005), 312–347 | DOI | MR | Zbl

[18] Szegö G., Orthogonal polynomials, Fourth Edition, AMS, Providence, RI, 1975 | MR

[19] Polyanin A. D., Zaitsev V. F., Handbook of Exact Solutions for Ordinary Differential Equations, Chapman Hall/CRC, Boca Raton, 2003, 416 pp. | MR