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- W1621039969 abstract "The error on a real quantity Y due to the graduation of the measuring in- strument may be approximately represented, when the graduation is regular and fines down, by a Dirichlet form on R whose square field operator does not depend on the probability law of Y as soon as this law possesses a continuous density. This feature is related to the arbitrary functions principle (Poincare, Hopf). We give extensions of this property to R d and to the Wiener space for some approximations of the Brownian motion. We use a Girsanov theorem for Dirichlet forms which has its own interest. Connections are given with the discretization of stochastic differential equations." @default.
- W1621039969 created "2016-06-24" @default.
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- W1621039969 date "2006-10-31" @default.
- W1621039969 modified "2023-09-27" @default.
- W1621039969 title "On some errors related to the graduation of measuring instruments" @default.
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