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Volumn 24, Issue 3, 1996, Pages 1130-1177

Gaussian chaos and sample path properties of additive functionals of symmetric Markov processes

Author keywords

Continuous additive functional; Gaussian chaos; Markov

Indexed keywords


EID: 0030371119     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1065725177     Document Type: Article
Times cited : (20)

References (18)
  • 1
    • 0000874693 scopus 로고
    • On decoupling, series expansion, and tail behavior of chaos processes
    • ARCONES, M. and GINÉ, E. (1993). On decoupling, series expansion, and tail behavior of chaos processes. J. Theoret. Probab. 6 101-122.
    • (1993) J. Theoret. Probab. , vol.6 , pp. 101-122
    • Arcones, M.1    Giné, E.2
  • 2
    • 0000406049 scopus 로고
    • Joint continuity and representations of additive functionals of d-dimensional Brownian motion
    • BASS, R. (1984). Joint continuity and representations of additive functionals of d-dimensional Brownian motion. Stochastic Process. Appl. 17 211-227.
    • (1984) Stochastic Process. Appl. , vol.17 , pp. 211-227
    • Bass, R.1
  • 3
    • 0001070656 scopus 로고
    • Local times on curves and uniform invariance principles
    • BASS, R. F. and KHOSHNEVISAN, D. (1992). Local times on curves and uniform invariance principles. Probab. Theory Related Fields 92 465-492.
    • (1992) Probab. Theory Related Fields , vol.92 , pp. 465-492
    • Bass, R.F.1    Khoshnevisan, D.2
  • 5
    • 0011321141 scopus 로고
    • Gaussian and non-Gaussian random fields associated with Markov processes
    • DYNKIN, E. B. (1984). Gaussian and non-Gaussian random fields associated with Markov processes. J. Fund. Anal. 55 344-376.
    • (1984) J. Fund. Anal. , vol.55 , pp. 344-376
    • Dynkin, E.B.1
  • 7
    • 0002356308 scopus 로고
    • Continuity of subgaussian processes
    • Dekker, New York
    • JAIN, N. C. and MARCUS, M. B. (1978). Continuity of subgaussian processes. In Probability in Banach Spaces 81-196. Dekker, New York.
    • (1978) Probability in Banach Spaces , pp. 81-196
    • Jain, N.C.1    Marcus, M.B.2
  • 12
    • 0000401255 scopus 로고
    • Moduli of continuity of local times of strongly symmetric markov processes via gaussian processes
    • MARCUS, M. B. and ROSEN, J. (1992). Moduli of continuity of local times of strongly symmetric Markov processes via Gaussian processes. J. Theoret. Probab. 5 791-825.
    • (1992) J. Theoret. Probab. , vol.5 , pp. 791-825
    • Marcus, M.B.1    Rosen, J.2
  • 13
    • 0030355516 scopus 로고    scopus 로고
    • Random fourier series and continuous additive functionals of lévy processes on the torus
    • MARCUS, M. B. and ROSEN, J. (1996). Random Fourier series and continuous additive functionals of Lévy processes on the torus. Ann. Probab. 24 1178-1218.
    • (1996) Ann. Probab. , vol.24 , pp. 1178-1218
    • Marcus, M.B.1    Rosen, J.2
  • 14
    • 0000292544 scopus 로고
    • Sample path properties of the local times of strongly symmetric markov processes via gaussian processes
    • MARCUS, M. B. and ROSEN, J. (1992). Sample path properties of the local times of strongly symmetric Markov processes via Gaussian processes. Ann. Probab. 20 1603-1684.
    • (1992) Ann. Probab. , vol.20 , pp. 1603-1684
    • Marcus, M.B.1    Rosen, J.2
  • 15
    • 0039524473 scopus 로고    scopus 로고
    • Continuity conditions for a class of gaussian chaos processes related to continuous additive functionals of lévy processes
    • To appear
    • MARCUS, M. B. and TALAGRAND, M. (1996). Continuity conditions for a class of Gaussian chaos processes related to continuous additive functionals of Lévy processes. J. Theoret. Probab. To appear.
    • (1996) J. Theoret. Probab.
    • Marcus, M.B.1    Talagrand, M.2
  • 16
    • 0001376031 scopus 로고
    • Mesures associées aux fonctionnelles additives de markov. I
    • REVUZ, D. (1970). Mesures associées aux fonctionnelles additives de Markov. I. Trans. Amer. Math. Soc. 148 501-529.
    • (1970) Trans. Amer. Math. Soc. , vol.148 , pp. 501-529
    • Revuz, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.