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Volumn 11, Issue 3, 2005, Pages 471-509

Recurrent extensions of self-similar Markov processes and Cramér's condition

Author keywords

Description of excursion measures; L vy processes; Self similar Markov process; Weak duality

Indexed keywords


EID: 24144488921     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.3150/bj/1120591185     Document Type: Article
Times cited : (65)

References (38)
  • 1
    • 0003975247 scopus 로고    scopus 로고
    • Cambridge: Cambridge University Press
    • Bertoin, J. (1996) Lévy Processes. Cambridge: Cambridge University Press.
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 2
    • 1442293041 scopus 로고    scopus 로고
    • Entrance from 0+ for increasing semi-stable Markov processes
    • Bertoin, J. and Caballero, M.-E. (2002) Entrance from 0+ for increasing semi-stable Markov processes. Bernoulli, 8, 195-205.
    • (2002) Bernoulli , vol.8 , pp. 195-205
    • Bertoin, J.1    Caballero, M.-E.2
  • 3
    • 0005494030 scopus 로고
    • Cramér's estimate for Lévy processes
    • Bertoin, J. and Doney, R.A. (1994) Cramér's estimate for Lévy processes. Statist. Probab. Lett., 21, 363-365.
    • (1994) Statist. Probab. Lett. , vol.21 , pp. 363-365
    • Bertoin, J.1    Doney, R.A.2
  • 4
    • 0141792413 scopus 로고    scopus 로고
    • The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes
    • Bertoin, J. and Yor, M. (2002a) The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Potential Anal., 17(4), 389-400.
    • (2002) Potential Anal. , vol.17 , Issue.4 , pp. 389-400
    • Bertoin, J.1    Yor, M.2
  • 5
    • 0037540080 scopus 로고    scopus 로고
    • On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes
    • Bertoin, J. and Yor, M. (2002b) On the entire moments of self-similar Markov processes and exponential functionals of Lévy processes. Ann. Fac. Sci. Toulouse, VI. Sér., Math., 11, 33-45.
    • (2002) Ann. Fac. Sci. Toulouse, VI. Sér., Math. , vol.11 , pp. 33-45
    • Bertoin, J.1    Yor, M.2
  • 10
    • 0041068973 scopus 로고
    • Sur les fonctionnelles exponentielles de certains processus de Lévy
    • Carmona, P., Petit, F. and Yor, M. (1994) Sur les fonctionnelles exponentielles de certains processus de Lévy. Stochastics Stochastics Rep., 47(1-2), 71-101.
    • (1994) Stochastics Stochastics Rep. , vol.47 , Issue.1-2 , pp. 71-101
    • Carmona, P.1    Petit, F.2    Yor, M.3
  • 11
    • 0008726577 scopus 로고    scopus 로고
    • On thé distribution and asymptotic results for exponential functionals of Lévy processes
    • M. Yor (ed.), Bibl. Rev. Mat. Iberoamericana. Madrid: Revista Matemática Iberoamericana
    • Carmona, P., Petit, F. and Yor, M. (1997) On thé distribution and asymptotic results for exponential functionals of Lévy processes. In M. Yor (ed.), Exponential Functionals and Principal Values Related to Brownian Motion, Bibl. Rev. Mat. Iberoamericana, pp. 73-130. Madrid: Revista Matemática Iberoamericana.
    • (1997) Exponential Functionals and Principal Values Related to Brownian Motion , pp. 73-130
    • Carmona, P.1    Petit, F.2    Yor, M.3
  • 12
    • 0012325767 scopus 로고    scopus 로고
    • Excursion normalisée, méandre et pont pour les processus de Lévy stables
    • Chaumont, L. (1997) Excursion normalisée, méandre et pont pour les processus de Lévy stables. Bull. Sci. Math., 121(5), 377-403.
    • (1997) Bull. Sci. Math. , vol.121 , Issue.5 , pp. 377-403
    • Chaumont, L.1
  • 14
    • 84864849879 scopus 로고
    • The distribution of a perpetuity, with applications to risk theory and pension funding
    • Dufresne, D. (1990) The distribution of a perpetuity, with applications to risk theory and pension funding. Scand. Actuar. J., 39-79.
    • (1990) Scand. Actuar. J. , pp. 39-79
    • Dufresne, D.1
  • 16
    • 0002247394 scopus 로고
    • Markovian bridges: Construction, Palm interpretation, and splicing
    • E. Ci̧nlar, K.L. Chung and M.J. Sharpe (eds) Progr. Probab. 33. Boston: Birkhäuser
    • Fitzsimmons, P., Pitman, J. and Yor, M. (1993) Markovian bridges: construction, Palm interpretation, and splicing. In E. Ci̧nlar, K.L. Chung and M.J. Sharpe (eds) Seminar on Stochastic Processes, 1992, Progr. Probab. 33, pp. 101-134. Boston: Birkhäuser.
    • (1993) Seminar on Stochastic Processes, 1992 , pp. 101-134
    • Fitzsimmons, P.1    Pitman, J.2    Yor, M.3
  • 17
    • 0007197086 scopus 로고
    • Excursions of a Markov process
    • Getoor, R.K. (1979) Excursions of a Markov process. Ann. Probab., 7(2), 244-266.
    • (1979) Ann. Probab. , vol.7 , Issue.2 , pp. 244-266
    • Getoor, R.K.1
  • 18
    • 0041510028 scopus 로고
    • Last exit times and additive functionals
    • Getoor, R.K. and Sharpe, M.J. (1973) Last exit times and additive functionals. Ann. Probab., 1, 550-569.
    • (1973) Ann. Probab. , vol.1 , pp. 550-569
    • Getoor, R.K.1    Sharpe, M.J.2
  • 19
    • 0005500777 scopus 로고
    • Two results on dual excursions
    • E. Çinlar, K.L. Chung and R.K. Getoor (eds), Progr. Probab. Statist. 1. Boston: Birkhäuser
    • Getoor, R.K. and Sharpe, M.J. (1981) Two results on dual excursions, In E. Çinlar, K.L. Chung and R.K. Getoor (eds), Seminar on Stochastic Processes, 1981, Progr. Probab. Statist. 1, pp. 31-52. Boston: Birkhäuser.
    • (1981) Seminar on Stochastic Processes, 1981 , pp. 31-52
    • Getoor, R.K.1    Sharpe, M.J.2
  • 20
    • 0346034616 scopus 로고
    • Excursions of dual processes
    • Getoor, R.K. and Sharpe, M.J. (1982) Excursions of dual processes. Adv. in Math., 45(3), 259-309.
    • (1982) Adv. in Math. , vol.45 , Issue.3 , pp. 259-309
    • Getoor, R.K.1    Sharpe, M.J.2
  • 21
    • 0000732230 scopus 로고
    • Implicit renewal theory and tails of solutions of random equations
    • Goldie, C.M. (1991) Implicit renewal theory and tails of solutions of random equations. Ann. Appl. Probab., 1(1), 126-166.
    • (1991) Ann. Appl. Probab. , vol.1 , Issue.1 , pp. 126-166
    • Goldie, C.M.1
  • 22
    • 0021493798 scopus 로고
    • Density factorizations for Brownian motion, meander and the three-dimensional Bessel process, and applications
    • Imhof, J.-P. (1984) Density factorizations for Brownian motion, meander and the three-dimensional Bessel process, and applications. J. Appl. Probab., 21(3), 500-510.
    • (1984) J. Appl. Probab. , vol.21 , Issue.3 , pp. 500-510
    • Imhof, J.-P.1
  • 23
    • 2942672026 scopus 로고
    • Random difference equations and renewal theory for products of random matrices
    • Kesten, H. (1973) Random difference equations and renewal theory for products of random matrices. Acta Math., 131, 207-248.
    • (1973) Acta Math. , vol.131 , pp. 207-248
    • Kesten, H.1
  • 26
  • 27
    • 0346113963 scopus 로고
    • Processus de Poisson ponctuels, d'après K. Ito
    • Lecture Notes in Math. 191. Berlin: Springer-Verlag
    • Meyer, P.A. (1971) Processus de Poisson ponctuels, d'après K. Ito. In Séminaire de Probabilités V, Lecture Notes in Math. 191, pp. 177-190. Berlin: Springer-Verlag.
    • (1971) Séminaire de Probabilités V , pp. 177-190
    • Meyer, P.A.1
  • 28
  • 29
    • 84972529361 scopus 로고
    • Time reversion of Markov processes
    • Nagasawa, M. (1964) Time reversion of Markov processes. Nagoya Math. J., 24, 177-204.
    • (1964) Nagoya Math. J. , vol.24 , pp. 177-204
    • Nagasawa, M.1
  • 31
    • 30344480073 scopus 로고    scopus 로고
    • A law of iterated logarithm for increasing self-similar Markov processes
    • Rivero, V.M. (2003) A law of iterated logarithm for increasing self-similar Markov processes. Stochastics Stochastics Rep., 75(6), 443-472.
    • (2003) Stochastics Stochastics Rep. , vol.75 , Issue.6 , pp. 443-472
    • Rivero, V.M.1
  • 33
    • 0013298696 scopus 로고
    • Construction of right processes from excursions
    • Salisbury, T.S. (1986a) Construction of right processes from excursions. Probab. Theory Related Fields, 73(3), 351-367.
    • (1986) Probab. Theory Related Fields , vol.73 , Issue.3 , pp. 351-367
    • Salisbury, T.S.1
  • 34
    • 0013262037 scopus 로고
    • On the Itô excursion process
    • Salisbury, T.S. (1986b) On the Itô excursion process. Probab. Theory Related Fields, 73(3), 319-350.
    • (1986) Probab. Theory Related Fields , vol.73 , Issue.3 , pp. 319-350
    • Salisbury, T.S.1
  • 37
    • 0039865870 scopus 로고
    • Itô excursion theory for self-similar Markov processes
    • Vuolle-Apiala, J. (1994) Itô excursion theory for self-similar Markov processes. Ann. Probab., 22, 546-565.
    • (1994) Ann. Probab. , vol.22 , pp. 546-565
    • Vuolle-Apiala, J.1
  • 38
    • 33749017547 scopus 로고
    • Path decomposition and continuity of local time for one-dimensional diffusions. I
    • Williams, D. (1974) Path decomposition and continuity of local time for one-dimensional diffusions. I. Proc. London Math. Soc. (3), 28, 738-768.
    • (1974) Proc. London Math. Soc. (3) , vol.28 , pp. 738-768
    • Williams, D.1


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