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Brownian motion, geometry, and generalizations of Picard's little theorem
Author(s):
S. I.
Goldberg;
C.
Mueller
Journal:
Bull. Amer. Math. Soc.
7
(1982),
259-263.
MSC (1980):
Primary 32H25, 53C21, 60J65
MathSciNet review:
656207
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References |
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Additional information
References:
- 1.
- B. Davis, Picard's theorem and Brownian motion, Trans. Amer. Math. Soc. 213 (1975), 353-362. MR 397900
- 2.
- J. Eells and L. Lemaire, A report on harmonic maps, Bull. London Math. Soc. 10 (1978), 1-68. MR 495450
- 3.
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- 4.
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- 5.
- S. I. Goldberg and T. Ishihara, Harmonic quasiconformal mappings of Riemannian manifolds, Amer. J. Math. 98 (1976), 225-240. MR 404698
- 6.
- T. E. Harris, The existence of stationary measures for certain Markov processes, Proc. of the 3rd Berkeley Symp. on Math. Stat. and Prob., Vol. II (1956), 113-124. MR 84889
- 7.
- W. S. Kendall, Brownian motion and a generalised little Picard 's theorem, Trans. Amer. Math. Soc. (to appear). MR 682729
- 8.
- H. P. McKean, Jr., Stochastic integrals, Academic Press, New York and London, 1969. MR 247684
- 9.
- W. Phillip, The central limit theorem for mixing sequences of random variables, Z. Wahrsch. Verv. Geb. 12 (1969), 155-171. MR 246356
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- M. Pinsky, Stochastic Riemannian geometry, Probabilistic Analysis and Related Topics, Vol. I (A. T. Barucha-Reid, ed.), Academic Press, New York, 1978. MR 501385
- 11.
- J.-J. Prat, Étude asymptotique et convergence angulaire du mouvement brownien sur une variété à courbure negative, C. R. Acad. Sci. Paris, Ser. A 280 (1975), 1539-1542. MR 388557
- 12.
- D. W. Strook and S. R. S. Varadhan, On the support of diffusion processes with applications to the strong maximum principle, Proc. 6th Berkeley Symp. on Math. Stat, and Prob. III (1970), 333-360.
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Additional Information:
DOI:
10.1090/S0273-0979-1982-15028-5
PII:
S 0273-0979(1982)15028-5
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