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Volumn s3-28, Issue 4, 1974, Pages 738-768

Path decomposition and continuity of local time for one-dimensional diffusions, I

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EID: 33749017547     PISSN: 00246115     EISSN: 1460244X     Source Type: Journal    
DOI: 10.1112/plms/s3-28.4.738     Document Type: Article
Times cited : (242)

References (29)
  • 1
    • 84968510898 scopus 로고
    • Local times and sample function properties of stationary Gaussian processes
    • S. M. Berman, ‘Local times and sample function properties of stationary Gaussian processes’, Trans. Amer. Math. Soc. 137 (1969) 277–300.
    • (1969) Trans. Amer. Math. Soc , vol.137 , pp. 277-300
    • Berman, S.M.1
  • 2
    • 84968521981 scopus 로고
    • Harmonic analysis of local times and sample functions of Gaussian processes
    • —— ‘Harmonic analysis of local times and sample functions of Gaussian processes’, Trans. Amer. Math. Soc. 143 (1969) 269–281.
    • (1969) Trans. Amer. Math. Soc , vol.143 , pp. 269-281
    • Berman, S.M.1
  • 3
    • 0000111128 scopus 로고
    • Gaussian processes with stationary increments: Local times and sample function properties
    • —— ‘Gaussian processes with stationary increments: local times and sample function properties’, Ann. Math. Statist. 41 (1970) 1260–72.
    • (1970) Ann. Math. Statist , vol.41 , pp. 1260-1272
    • Berman, S.M.1
  • 6
    • 0001985017 scopus 로고
    • Local time for a class of Markov processes
    • E. S. Boylan, ‘Local time for a class of Markov processes’, Illinois J. Math. 8 (1964) 19–39.
    • (1964) Illinois J. Math , vol.8 , pp. 19-39
    • Boylan, E.S.1
  • 7
    • 0004256573 scopus 로고
    • Addison-Wesley, Reading, Mass
    • L. Breiman, Probability (Addison-Wesley, Reading, Mass., 1968).
    • (1968) Probability
    • Breiman, L.1
  • 8
    • 0011240846 scopus 로고
    • Conditional Brownian motion and the boundary limits of harmonic functions
    • J. L. Doob, ‘Conditional Brownian motion and the boundary limits of harmonic functions’, Bull. Soc. Math. France 85 (1957) 431–58.
    • (1957) Bull. Soc. Math. France , vol.85 , pp. 431-458
    • Doob, J.L.1
  • 9
    • 0004188078 scopus 로고
    • English translation in two volumes) Springer, Berlin
    • E. B. Dynkin, Markov processes (English translation in two volumes) (Springer, Berlin, 1965).
    • (1965) Markov Processes
    • Dynkin, E.B.1
  • 12
    • 84972521506 scopus 로고
    • An iterated logarithm law for local time
    • H. Kesten, ‘An iterated logarithm law for local time’, Duke Math. J. 32 (3) (1965) 447–56.
    • (1965) Duke Math. J , vol.32 , Issue.3 , pp. 447-456
    • Kesten, H.1
  • 13
    • 84968484961 scopus 로고
    • Random walks and a sojourn density process of Brownian motion
    • F. B. Knight, ‘Random walks and a sojourn density process of Brownian motion’, Trans. Amer. Math. Soc. 109 (1963) 56–86.
    • (1963) Trans. Amer. Math. Soc , vol.109 , pp. 56-86
    • Knight, F.B.1
  • 14
    • 84968492787 scopus 로고
    • Brownian local times and taboo processes
    • —— ‘Brownian local times and taboo processes’, Trans. Amer. Math. Soc. 143 (1969) 173–85.
    • (1969) Trans. Amer. Math. Soc , vol.143 , pp. 173-185
    • Knight, F.B.1
  • 15
    • 84972514341 scopus 로고
    • Markov processes and Martin boundaries, I
    • H. Kunita and T. Watanabe, ‘Markov processes and Martin boundaries, I’, Illinois J. Math. 9 (1965) 485–526.
    • (1965) Illinois J. Math , vol.9 , pp. 485-526
    • Kunita, H.1    Watanabe, T.2
  • 16
    • 0043196004 scopus 로고
    • On certain reversed processes and their applications to potential theory and boundary theory
    • —— ‘On certain reversed processes and their applications to potential theory and boundary theory’, J. Math. Mech. 15 (1966) 393–434.
    • (1966) J. Math. Mech , vol.15 , pp. 393-434
    • Kunita, H.1    Watanabe, T.2
  • 17
    • 3042851422 scopus 로고
    • Some theorems concerning resolvents over locally compact spaces
    • —— —— ‘Some theorems concerning resolvents over locally compact spaces’, Proc. 5th Berkeley Symp. Math. Statist. Prob., Vol. II, Part 2 (1967) 131–64.
    • (1967) Proc. 5Th Berkeley Symp. Math. Statist. Prob , vol.2 , pp. 131-164
    • Kunita, H.1    Watanabe, T.2
  • 22
    • 84951560497 scopus 로고
    • Sur les lois de certaines fonctionelles additives: Applications aux temps locaux
    • P. A. Meyer, ‘Sur les lois de certaines fonctionelles additives: applications aux temps locaux’, Publ. Inst. Statist. Univ. Paris 15 (1966) 295–310.
    • (1966) Publ. Inst. Statist. Univ. Paris , vol.15 , pp. 295-310
    • Meyer, P.A.1
  • 24
    • 84972512714 scopus 로고
    • Sojourn times of diffusion processes
    • D. B. Ray, ‘Sojourn times of diffusion processes’, Illinois J. Math. 7 (1963) 615–30.
    • (1963) Illinois J. Math , vol.7 , pp. 615-630
    • Ray, D.B.1
  • 26
    • 0000683728 scopus 로고
    • A property of Brownian motion paths
    • H. F. Trotter, ‘A property of Brownian motion paths’, Illinois J. Math. 2 (1958) 425–33.
    • (1958) Illinois J. Math , vol.2 , pp. 425-433
    • Trotter, H.F.1
  • 27
    • 0039493286 scopus 로고
    • Random time changes in strong Markov processes
    • (in Russian), English translation: Theor. Probability Appl. 3 (1958) 310–26
    • V. A. Volkonskiǐ, ‘Random time changes in strong Markov processes’ (in Russian), Teor. Veroyatnostei i. Primenen. 3 (1958) 332–50. English translation: Theor. Probability Appl. 3 (1958) 310–26.
    • (1958) Teor. Veroyatnostei I. Primenen , vol.3 , pp. 332-350
    • Volkonskiǐ, V.A.1
  • 28
    • 84968487174 scopus 로고
    • Markov properties of Brownian local time
    • D. Williams, ‘Markov properties of Brownian local time’, Bull. Amer. Math. Soc. 75 (1969) 1035–36.
    • (1969) Bull. Amer. Math. Soc , vol.75 , pp. 1035-1036
    • Williams, D.1
  • 29
    • 84966207775 scopus 로고
    • Decomposing the Brownian path
    • —— ‘Decomposing the Brownian path’, Bull. Amer. Math. Soc. 76 (1970) 871–73.
    • (1970) Bull. Amer. Math. Soc , vol.76 , pp. 871-873
    • Williams, D.1


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