Publication Cover
Stochastics
An International Journal of Probability and Stochastic Processes
Volume 81, 2009 - Issue 3-4: Stochastic Analysis
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Original Articles

Renormalized stochastic calculus of variations for a renormalized infinite-dimensional Brownian motion

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Pages 385-399 | Received 15 May 2008, Accepted 10 Feb 2009, Published online: 23 Jul 2009

References

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  • Airault , H. and Malliavin , P. 2006 . Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry . J. Funct. Anal. , 241 ( 1 ) : 99 – 142 .
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  • Cruzeiro , A.B. , Flandoli , F. and Malliavin , P. 2007 . Brownian motion on volume preserving diffeomorphisms group and existence of global solutions of 2D stochastic Euler equation . J. Funct. Anal. , 242 ( 1 ) : 304 – 326 .
  • Driver , B.K. 1997 . Integration by parts and quasi-invariance for heat kernel measures on loop groups . J. Funct. Anal. , 149 ( 2 ) : 470 – 547 .
  • Fang , S. and Malliavin , P. 1993 . Stochastic calculus on the path space of a Riemannian manifold. I. Markovian stochastic calculus . J. Funct. Anal. , 118 : 249 – 274 .
  • Malliavin , P. 1974 . Formule de la moyenne, calcul de perturbations et théoreme d'annulation pour les formes harmoniques . J. Funct. Anal. , 17 ( 3 ) : 274 – 291 .
  • Malliavin , P. and Ren , J. 2008 . Transfer of stochastic energy towards high modes and its application to diffeomorphism flows on tori . J. Funct. Anal. , 254 ( 6 ) : 1721 – 1734 .

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