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Volumn 32, Issue 3 A, 2004, Pages 2286-2303

Conditioning and initial enlargement of filtration on a Riemannian manifold

Author keywords

Conditioned stochastic differential equations; Diffusions on manifolds; Initial enlargement of filtration; Malliavin Bismut calculus of variations

Indexed keywords


EID: 4544245457     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117904000000126     Document Type: Article
Times cited : (3)

References (29)
  • 1
    • 0036062859 scopus 로고    scopus 로고
    • Conditioned stochastic differential equations: Theory, examples and applications to finance
    • BAUDOIN, F. (2002). Conditioned stochastic differential equations: Theory, examples and applications to finance. Stochastic Process. Appl. 100 109-145.
    • (2002) Stochastic Process. Appl. , vol.100 , pp. 109-145
    • Baudoin, F.1
  • 2
    • 0036335576 scopus 로고    scopus 로고
    • Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of Lichnerowicz-Szabo theorem
    • BAUDOIN, F. (2002). Skew-product decompositions of Brownian motions on manifolds: A probabilistic aspect of Lichnerowicz-Szabo theorem. Bull. Sci. Math. 126 481-491.
    • (2002) Bull. Sci. Math. , vol.126 , pp. 481-491
    • Baudoin, F.1
  • 4
    • 0141792240 scopus 로고    scopus 로고
    • Pinning class of the Wiener measure by a functional: Related martingales and invariance properties
    • BAUDOIN, F. and THIEULLEN, M. (2003). Pinning class of the Wiener measure by a functional: Related martingales and invariance properties. Probab. Theory Related Fields 127 1-36.
    • (2003) Probab. Theory Related Fields , vol.127 , pp. 1-36
    • Baudoin, F.1    Thieullen, M.2
  • 6
    • 0002876396 scopus 로고
    • The Atiyah-Singer theorems: A probabilistic approach, I. The index theorem
    • BISMUT, J. M. (1984). The Atiyah-Singer theorems: A probabilistic approach, I. The index theorem. J. Funct. Anal. 57 56-99.
    • (1984) J. Funct. Anal. , vol.57 , pp. 56-99
    • Bismut, J.M.1
  • 7
    • 0000695994 scopus 로고
    • The Atiyah-Singer theorems: A probabilistic approach, II. The Lefschetz fixed point formulas
    • BISMUT, J. M. (1984). The Atiyah-Singer theorems: A probabilistic approach, II. The Lefschetz fixed point formulas. J. Funct. Anal. 57 329-348.
    • (1984) J. Funct. Anal. , vol.57 , pp. 329-348
    • Bismut, J.M.1
  • 8
    • 0003004333 scopus 로고    scopus 로고
    • Heat equation derivative formulas for vector bundles
    • DRIVER, B. and THALMAIER, A. (2001). Heat equation derivative formulas for vector bundles. J. Funct. Anal. 1 42-108.
    • (2001) J. Funct. Anal. , vol.1 , pp. 42-108
    • Driver, B.1    Thalmaier, A.2
  • 10
    • 0000031706 scopus 로고
    • Formulae for the derivatives of heat semigroups
    • ELWORTHY, K. D. and LI, X. M. (1994). Formulae for the derivatives of heat semigroups. J. Funct. Anal. 125 252-286.
    • (1994) J. Funct. Anal. , vol.125 , pp. 252-286
    • Elworthy, K.D.1    Li, X.M.2
  • 13
    • 0002137181 scopus 로고    scopus 로고
    • Markov processes with identical bridges
    • FITZSIMMONS, P. (1998). Markov processes with identical bridges. Electron. J. Probab. 3.
    • (1998) Electron. J. Probab. , vol.3
    • Fitzsimmons, P.1
  • 14
    • 0002247394 scopus 로고
    • Markovian bridges, construction, Palm interpretation and splicing
    • (E. Çinlar, K. L. Chung and M. J. Sharpe, eds.). Birkhäuser, Boston
    • FITZSIMMONS, P., PITMAN, J. W. and YOR, M. (1993). Markovian bridges, construction, Palm interpretation and splicing. In Seminar on Stochastic Processes (E. Çinlar, K. L. Chung and M. J. Sharpe, eds.) 101-134. Birkhäuser, Boston.
    • (1993) Seminar on Stochastic Processes , pp. 101-134
    • Fitzsimmons, P.1    Pitman, J.W.2    Yor, M.3
  • 17
    • 0041406989 scopus 로고    scopus 로고
    • Free lunch and arbitrage possibilities in a financial market with an insider
    • IMKELLER, P., PONTIER, M. and WEISZ, F. (2001). Free lunch and arbitrage possibilities in a financial market with an insider. Stochastic Process. Appl. 92 103-130.
    • (2001) Stochastic Process. Appl. , vol.92 , pp. 103-130
    • Imkeller, P.1    Pontier, M.2    Weisz, F.3
  • 26
    • 84972488056 scopus 로고
    • The Lichnerowicz conjecture on harmonic manifolds
    • SZABO, S. (1990). The Lichnerowicz conjecture on harmonic manifolds. J. Differential Geom. 31 1-28.
    • (1990) J. Differential Geom. , vol.31 , pp. 1-28
    • Szabo, S.1
  • 27
    • 0000427783 scopus 로고    scopus 로고
    • On the differentiation of heat semigroups and Poisson integrals
    • THALMAIER, A. (1997). On the differentiation of heat semigroups and Poisson integrals. Stochastics Stochastics Rep. 61 297-321.
    • (1997) Stochastics Stochastics Rep. , vol.61 , pp. 297-321
    • Thalmaier, A.1
  • 28
    • 0031512583 scopus 로고    scopus 로고
    • Symmetries in the stochastic calculus of variations
    • THIEULLEN, M. and ZAMBRINI, J. C. (1997). Symmetries in the stochastic calculus of variations. Probab. Theory Related Fields 107 401-427.
    • (1997) Probab. Theory Related Fields , vol.107 , pp. 401-427
    • Thieullen, M.1    Zambrini, J.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.