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Volumn 35, Issue 5, 2007, Pages 1950-1977

Ergodic theory for SDEs with extrinsic memory

Author keywords

Ergodicity; Fractional Brownian motion; Non Markovian processes

Indexed keywords


EID: 51549086483     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117906000001141     Document Type: Article
Times cited : (71)

References (22)
  • 1
    • 0346718762 scopus 로고    scopus 로고
    • Stochastic integration with respect to the fractional Brownian motion
    • MR1978896
    • ALÒS, E. and NUALART, D. (2003). Stochastic integration with respect to the fractional Brownian motion. Stochastics Stochastics Rep. 75 129-152. MR1978896
    • (2003) Stochastics Stochastics Rep , vol.75 , pp. 129-152
    • ALÒS, E.1    NUALART, D.2
  • 2
    • 51549113224 scopus 로고    scopus 로고
    • ARNOLD, L. (1998). Random Dynamical Systems. Springer, Berlin. MR1723992
    • ARNOLD, L. (1998). Random Dynamical Systems. Springer, Berlin. MR1723992
  • 3
    • 0036002985 scopus 로고    scopus 로고
    • Stochastic analysis, rough path analysis and fractional Brownian motions
    • MR1883719
    • COUTIN, L. and QIAN, Z. (2002). Stochastic analysis, rough path analysis and fractional Brownian motions. Probab. Theory Related Fields 122 108-140. MR1883719
    • (2002) Probab. Theory Related Fields , vol.122 , pp. 108-140
    • COUTIN, L.1    QIAN, Z.2
  • 4
    • 51549121848 scopus 로고    scopus 로고
    • DA PRATO, G. and ZABCZYK, J. (1996). Ergodicity for Infinite Dimensional Systems. Cambridge Univ. Press. MR1417491
    • DA PRATO, G. and ZABCZYK, J. (1996). Ergodicity for Infinite Dimensional Systems. Cambridge Univ. Press. MR1417491
  • 5
    • 0000031706 scopus 로고
    • Formulae for the derivatives of heat semigroups
    • MR1297021
    • ELWORTHY, K. D. and LI, X.-M. (1994). Formulae for the derivatives of heat semigroups. J. Funct. Anal. 125 252-286. MR1297021
    • (1994) J. Funct. Anal , vol.125 , pp. 252-286
    • ELWORTHY, K.D.1    LI, X.-M.2
  • 6
    • 4344654665 scopus 로고    scopus 로고
    • Controlling rough paths
    • MR2091358
    • GUBINELLI, M. (2004). Controlling rough paths. J. Funct. Anal. 216 86-140. MR2091358
    • (2004) J. Funct. Anal , vol.216 , pp. 86-140
    • GUBINELLI, M.1
  • 7
    • 17044422110 scopus 로고    scopus 로고
    • Ergodicity of stochastic differential equations driven by fractional Brownian motion
    • MR2123208
    • HAIRER, M. (2005). Ergodicity of stochastic differential equations driven by fractional Brownian motion. Ann. Probab. 33 703-758. MR2123208
    • (2005) Ann. Probab , vol.33 , pp. 703-758
    • HAIRER, M.1
  • 8
    • 51549101480 scopus 로고    scopus 로고
    • HAS'MINSKIǏ, R. Z. (1980). Stochastic Stability of Differential Equations. Sijthoff & Noordhoff, Alphen aan den Rijn. MR0600653
    • HAS'MINSKIǏ, R. Z. (1980). Stochastic Stability of Differential Equations. Sijthoff & Noordhoff, Alphen aan den Rijn. MR0600653
  • 9
    • 10644294512 scopus 로고    scopus 로고
    • HAIRER, M. and MATTINGLY, J. C. (2004). Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. C. R. Math. Acad. Sci. Paris 339 879-882. MR2111726
    • HAIRER, M. and MATTINGLY, J. C. (2004). Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations. C. R. Math. Acad. Sci. Paris 339 879-882. MR2111726
  • 10
    • 34547170613 scopus 로고    scopus 로고
    • Differential equations driven by holder continuous functions of order greater than 1/2
    • Preprint
    • HU, Y. and NUALART, D. (2006). Differential equations driven by holder continuous functions of order greater than 1/2. Preprint.
    • (2006)
    • HU, Y.1    NUALART, D.2
  • 11
    • 0036887749 scopus 로고    scopus 로고
    • Large deviations and support theorem for diffusion processes via rough, paths
    • MR1935127
    • LEDOUX, M., QIAN, Z. and ZHANG, T. (2002). Large deviations and support theorem for diffusion processes via rough, paths. Stochastic Process. Appl. 102 265-283. MR1935127
    • (2002) Stochastic Process. Appl , vol.102 , pp. 265-283
    • LEDOUX, M.1    QIAN, Z.2    ZHANG, T.3
  • 12
    • 0032347402 scopus 로고    scopus 로고
    • Differential equations driven by rough signals
    • MR1654527
    • LYONS, T. J. (1998). Differential equations driven by rough signals. Rev. Mat. Iberoamericana 14 215-310. MR1654527
    • (1998) Rev. Mat. Iberoamericana , vol.14 , pp. 215-310
    • LYONS, T.J.1
  • 14
    • 0000501589 scopus 로고
    • Fractional Brownian motions, fractional noises and applications
    • MR0242239
    • MANDELBROT, B. B. and VAN NESS, J. W. (1968). Fractional Brownian motions, fractional noises and applications. SIAM Rev. 10 422-437. MR0242239
    • (1968) SIAM Rev , vol.10 , pp. 422-437
    • MANDELBROT, B.B.1    VAN NESS, J.W.2
  • 15
    • 0038771348 scopus 로고    scopus 로고
    • Differential equations driven by fractional Brownian motion
    • MR1893308
    • NUALART, D. and RǍŞCANU, A. (2002). Differential equations driven by fractional Brownian motion. Collect. Math. 53 55-81. MR1893308
    • (2002) Collect. Math , vol.53 , pp. 55-81
    • NUALART, D.1    RǍŞCANU, A.2
  • 16
    • 34547159380 scopus 로고    scopus 로고
    • Malliavin calculus for stochastic differential equations driven by a fractional Brownian motion
    • Preprint
    • NUALART, D. and SAUSSEREAU, B. (2005). Malliavin calculus for stochastic differential equations driven by a fractional Brownian motion. Preprint.
    • (2005)
    • NUALART, D.1    SAUSSEREAU, B.2
  • 17
    • 51549100087 scopus 로고    scopus 로고
    • NUALART, D. (1995). The Malliavin Calculus and Related Topics. Springer, New York. MR1344217
    • NUALART, D. (1995). The Malliavin Calculus and Related Topics. Springer, New York. MR1344217
  • 18
    • 0034258581 scopus 로고    scopus 로고
    • Stieltjes integrals of Holder continuous functions with applications to fractional Brownian motion
    • MR1798553
    • RUZMAIKINA, A. A. (2000). Stieltjes integrals of Holder continuous functions with applications to fractional Brownian motion. J. Statist. Phys. 100 1049-1069. MR1798553
    • (2000) J. Statist. Phys , vol.100 , pp. 1049-1069
    • RUZMAIKINA, A.A.1
  • 19
    • 0002992001 scopus 로고    scopus 로고
    • Stochastic calculus with respect to continuous finite quadratic variation processes
    • MR1785063
    • RUSSO, F. and VALLOIS, P. (2000). Stochastic calculus with respect to continuous finite quadratic variation processes. Stochastics Stochastics Rep. 70 1-40. MR1785063
    • (2000) Stochastics Stochastics Rep , vol.70 , pp. 1-40
    • RUSSO, F.1    VALLOIS, P.2
  • 20
    • 51549096794 scopus 로고    scopus 로고
    • SAMKO, S. G., KILBAS, A. A. and MARICHEV, O. I. (1993). Fractional Integrals and Derivatives. Gordon and Breach Science Publishers, Yverdon. MR1347689
    • SAMKO, S. G., KILBAS, A. A. and MARICHEV, O. I. (1993). Fractional Integrals and Derivatives. Gordon and Breach Science Publishers, Yverdon. MR1347689
  • 21
    • 51549114090 scopus 로고    scopus 로고
    • SAMORODNITSKY, G. and TAQQU, M. S. (1994). Stable non-Gaussian Random Processes. Chapman and Hall, New York. MR1280932
    • SAMORODNITSKY, G. and TAQQU, M. S. (1994). Stable non-Gaussian Random Processes. Chapman and Hall, New York. MR1280932
  • 22
    • 51549099062 scopus 로고    scopus 로고
    • STROOCK, D. W. and VARADHAN, S. R. S. (1972). On the support of diffusion processes with applications to the strong maximum principle. Proc. 6th Berkeley Symp. Math. Statist. Probab. III 333-368. Univ. California Press, Berkeley. MR0400425
    • STROOCK, D. W. and VARADHAN, S. R. S. (1972). On the support of diffusion processes with applications to the strong maximum principle. Proc. 6th Berkeley Symp. Math. Statist. Probab. III 333-368. Univ. California Press, Berkeley. MR0400425


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