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Volumn 111, Issue 1, 2004, Pages 1-15

Stochastic differential equations driven by stable processes for which pathwise uniqueness fails

Author keywords

Crossing estimates; Pathwise uniqueness; Stable processes; Stochastic differential equations; Time change

Indexed keywords


EID: 1642501171     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2004.01.010     Document Type: Article
Times cited : (38)

References (11)
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  • 2
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    • Bass R.F. Uniqueness in law for pure jump Markov processes Probab. Theory Related Fields 79 1988 271-287
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  • 3
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    • Stochastic differential equations driven by symmetric stable processes
    • Springer, New York
    • Bass R.F. 2003 Stochastic differential equations driven by symmetric stable processes. Séminaire de Probabilités, Vol. XXXVI. Springer, New York, pp. 302-313.
    • (2003) Séminaire de Probabilités , vol.36 , pp. 302-313
    • Bass, R.F.1
  • 4
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    • Bertoin, J.1
  • 5
    • 0000760840 scopus 로고
    • On the distribution of first hits for the symmetric stable processes
    • Blumenthal R.M. Getoor R.K. Ray D.B. On the distribution of first hits for the symmetric stable processes Trans. Amer. Math. Soc. 99 1961 540-554
    • (1961) Trans. Amer. Math. Soc. , vol.99 , pp. 540-554
    • Blumenthal, R.M.1    Getoor, R.K.2    Ray, D.B.3
  • 6
    • 0010003910 scopus 로고    scopus 로고
    • Symmetric stable laws and stable-like jump-diffusions
    • Kolokoltsov V. Symmetric stable laws and stable-like jump-diffusions Proc. London Math. Soc. 80 2000 725-768
    • (2000) Proc. London Math. Soc. , vol.80 , pp. 725-768
    • Kolokoltsov, V.1
  • 7
    • 1642549837 scopus 로고
    • On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations of jump type
    • Komatsu T. On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations of jump type Proc. Japan Acad. Ser. A Math. Sci. 58 1982 353-356
    • (1982) Proc. Japan Acad. Ser. A Math. Sci. , vol.58 , pp. 353-356
    • Komatsu, T.1
  • 8
    • 0001339314 scopus 로고
    • Un cours sur les intégrales stochastiques
    • Springer, Berlin
    • Meyer P.-A. 1976 Un cours sur les intégrales stochastiques. Séminaire de Probabilités X. Springer, Berlin, pp. 245-400.
    • (1976) Séminaire de Probabilités X , pp. 245-400
    • Meyer, P.-A.1
  • 9
    • 84972574822 scopus 로고
    • On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations
    • Nakao S. On the pathwise uniqueness of solutions of one-dimensional stochastic differential equations Osaka J. Math. 9 1972 513-518
    • (1972) Osaka J. Math. , vol.9 , pp. 513-518
    • Nakao, S.1
  • 10
    • 0000811910 scopus 로고
    • On Ito stochastic integration with respect to p-stable motion: Inner clock, integrability of sample paths, double and multiple integrals
    • Rosiński J. Woyczyński W.A. On Ito stochastic integration with respect to p-stable motion: inner clock, integrability of sample paths, double and multiple integrals Ann. Probab. 14 1986 271-286
    • (1986) Ann. Probab. , vol.14 , pp. 271-286
    • Rosiński, J.1    Woyczyński, W.A.2
  • 11
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    • Path-wise solutions of stochastic differential equations driven by Lévy processes
    • Williams D.R. Path-wise solutions of stochastic differential equations driven by Lévy processes Rev. Mat. Iberoamericana 17 2001 295-329
    • (2001) Rev. Mat. Iberoamericana , vol.17 , pp. 295-329
    • Williams, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.