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Volumn 10, Issue 2, 1997, Pages 429-443

A Particle Migrating Randomly on a Sphere

Author keywords

Drift; Great circle path; Likelihood ratio; Pole seeking; Skew product; Spherical Brownian motion; Stochastic differential equation; Travel time

Indexed keywords


EID: 0031497409     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022869817770     Document Type: Article
Times cited : (61)

References (23)
  • 1
    • 0002970314 scopus 로고
    • Theory of stochastic NMR spectroscopy, application of the Itô and Stratonovich calculus
    • Bartholdi, B., Wokaun, A., and Ernst, R. R. (1976). Theory of stochastic NMR spectroscopy, application of the Itô and Stratonovich calculus. Chem. Phys. 18, 57-84.
    • (1976) Chem. Phys. , vol.18 , pp. 57-84
    • Bartholdi, B.1    Wokaun, A.2    Ernst, R.R.3
  • 4
    • 0000819014 scopus 로고
    • Random walk on spheres
    • Bingham, N. H. (1972). Random walk on spheres. Z. Wahrsch. verw. Geb. 22, 169-172.
    • (1972) Z. Wahrsch. Verw. Geb. , vol.22 , pp. 169-172
    • Bingham, N.H.1
  • 5
    • 0042084284 scopus 로고
    • Galerkin approximation of nonlinear Markov processes
    • North-Holland, Amsterdam
    • Dawson, D. A. (1981). Galerkin approximation of nonlinear Markov processes. Statistics and Related Topics. North-Holland, Amsterdam.
    • (1981) Statistics and Related Topics
    • Dawson, D.A.1
  • 7
    • 0001557950 scopus 로고
    • "Normal" distribution functions on spheres and the modified Bessel functions
    • Hartman, P., and Watson, G. S. (1974). "Normal" distribution functions on spheres and the modified Bessel functions. Ann. Prob. 2, 593-607.
    • (1974) Ann. Prob. , vol.2 , pp. 593-607
    • Hartman, P.1    Watson, G.S.2
  • 10
    • 0001753639 scopus 로고
    • Pole-seeking Brownian motion and bird navigation
    • Kendall, D. G. (1974). Pole-seeking Brownian motion and bird navigation. J. Roy. Statist. Soc. 36B, 365-417.
    • (1974) J. Roy. Statist. Soc. , vol.36 B , pp. 365-417
    • Kendall, D.G.1
  • 11
    • 0011460489 scopus 로고
    • Etude asymptotique de certains mouvements browniens complexes avec drift
    • Le Gall, J. F., and Yor, M. (1986). Etude asymptotique de certains mouvements browniens complexes avec drift. Prob. Th. Rel. Fields 71, 183-229.
    • (1986) Prob. Th. Rel. Fields , vol.71 , pp. 183-229
    • Le Gall, J.F.1    Yor, M.2
  • 12
    • 0039470734 scopus 로고
    • Covering problems for Brownian motion on spheres
    • Matthews, P. (1988). Covering problems for Brownian motion on spheres. Ann. Prob. 16, 189-199.
    • (1988) Ann. Prob. , vol.16 , pp. 189-199
    • Matthews, P.1
  • 13
    • 0001764352 scopus 로고
    • Mathematical problems of modelling stochastic nonlinear dynamic systems
    • Mortensen, R. E. (1969). Mathematical problems of modelling stochastic nonlinear dynamic systems. J. Stat. Physics 1, 271-296.
    • (1969) J. Stat. Physics , vol.1 , pp. 271-296
    • Mortensen, R.E.1
  • 15
    • 0008347916 scopus 로고
    • Mouvement brownien de rotation
    • Perrin, M. F. (1928). Mouvement brownien de rotation. Ann. l'École Norm. Sup. 45, 1-51.
    • (1928) Ann. L'École Norm. Sup. , vol.45 , pp. 1-51
    • Perrin, M.F.1
  • 16
    • 0039330888 scopus 로고
    • Random walk on a sphere and on a Riemanian manifold
    • Roberts, P. H., and Ursell, H. D. (1960). Random walk on a sphere and on a Riemanian manifold. Philos. Trans. Roy. Soc. London 252A, 317-356.
    • (1960) Philos. Trans. Roy. Soc. London , vol.252 A , pp. 317-356
    • Roberts, P.H.1    Ursell, H.D.2
  • 18
    • 0042084283 scopus 로고
    • On the growth of stochastic integrals
    • Stroock, D. W. (1971). On the growth of stochastic integrals. Z. Wahrsch. verw. Geb. 18, 340-344.
    • (1971) Z. Wahrsch. Verw. Geb. , vol.18 , pp. 340-344
    • Stroock, D.W.1
  • 19
    • 0002801174 scopus 로고
    • On the gap between deterministic and stochastic ordinary differential equations
    • Sussmann, H. J. (1978). On the gap between deterministic and stochastic ordinary differential equations. Ann. Prob. 6, 19-41.
    • (1978) Ann. Prob. , vol.6 , pp. 19-41
    • Sussmann, H.J.1
  • 21
    • 0042585318 scopus 로고
    • H. M. Stationery Office, London
    • Various (1938). Admiralty Navigation Manual, Vol. III. H. M. Stationery Office, London.
    • (1938) Admiralty Navigation Manual , vol.3
  • 23
    • 0001155808 scopus 로고
    • Brownian motion on the surface of the 3-sphere
    • Yosida, K. (1949). Brownian motion on the surface of the 3-sphere. Ann. Math. Statist. 20, 292-296.
    • (1949) Ann. Math. Statist. , vol.20 , pp. 292-296
    • Yosida, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.