Brownian motion on a surface of negative curvature

Wilfrid S. Kendall

Séminaire de probabilités de Strasbourg (1984)

  • Volume: 18, page 70-76

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Kendall, Wilfrid S.. "Brownian motion on a surface of negative curvature." Séminaire de probabilités de Strasbourg 18 (1984): 70-76. <http://eudml.org/doc/113501>.

@article{Kendall1984,
author = {Kendall, Wilfrid S.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {angular component; limit circle; limiting-direction measure},
language = {eng},
pages = {70-76},
publisher = {Springer - Lecture Notes in Mathematics},
title = {Brownian motion on a surface of negative curvature},
url = {http://eudml.org/doc/113501},
volume = {18},
year = {1984},
}

TY - JOUR
AU - Kendall, Wilfrid S.
TI - Brownian motion on a surface of negative curvature
JO - Séminaire de probabilités de Strasbourg
PY - 1984
PB - Springer - Lecture Notes in Mathematics
VL - 18
SP - 70
EP - 76
LA - eng
KW - angular component; limit circle; limiting-direction measure
UR - http://eudml.org/doc/113501
ER -

References

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  1. R. Azencott (1974) "Behaviour of Diffusion Semigroups at Infinity" Bull. Sci. Math. France, 102, pp 193-240 Zbl0293.60071MR356254
  2. J. Cheeger AND D.G. Ebin (1975) Comparison Theoremsin Riemannian Geometry. North-Holland. Amsterdam. Zbl0309.53035MR458335
  3. E.B. Dynkin (1965) Markov Processes Vol. 1Springer-Verlag, Berlin Zbl0132.37901MR193671
  4. R.E. Greene AND H. Wu (1979) Function Theory on Manifolds Which Possess a Pole. Springer Lecture Notes in Mathematics699Spinger-Verlag, Berlin Zbl0414.53043MR521983
  5. N. Ikeda AND S. Watanabe (1981) Stochastic Differential Equations and Diffusion Processes. North-Holland, Amsterdam Zbl0495.60005MR637061
  6. W.S. Kendall (1983) "Brownian Motion and a Generalised Little Picard's Theorem". Trans. Amer. Math. Soc.275, pp 751-760 Zbl0507.58017MR682729
  7. Yu I. Kifer (1976) "Brownian Motion, and Harmonic Functions on Manifolds of Negative Curvature". Theory Prob. Appl.21, pp 81-95. Zbl0361.60050MR420887
  8. J-J. Prat (1971) "Etude Asymptotique du Mouvement Brownien Sur Une Variete Riemannienne a Courbure Negative". C.R. Acad. Sc.Paris272, pp 1586-1589 Zbl0296.60053MR279889
  9. J-J. Prat (1975) "Etude Asymptotique et Convergence Angulaire du Mouvement Brownien Sur Une Variete a Courbure Negative". C.R. Acad. Sc.Paris280, pp 1539-1542. Zbl0309.60052MR388557
  10. D.W. Stroock AND S.R.S. Varadhan (1972) "On the Support of Diffusion Processes with Applications to the Strong Maximum Principle". Proc. Sixth Berkeley Sympos. on Math. Stat. and Prob. III (1970/71). L.M. LeCam et. al., Editors,Univ. of California Press, Berkeley and Los Angeles, pp333-360. Zbl0255.60056MR400425
  11. D.W. Stroock AND S.R.S. Varadhan (1979) Multidimensional Diffusion Processes. Springer-Verlag, Berlin Zbl0426.60069MR532498
  12. D. Williams (1981) " To Begin at the Beginning:..." pp 1-55 of Stochastic IntegralsD. Williams., Editor. Springer Lecture Notes in Mathematics851. Springer-Verlag, Berlin Zbl0471.60065MR620984

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