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Lecture Four - The first steps to p= >2.

12 July 2004

10:28

 

Lecture Four - The first steps to p= >2.

The neoclassical inequality (without proof). A homogeneous metric on the truncated tensor algebra. Paths of finite  p-variation (etc.) in the truncated tensor algebra. Brownian Motion with Lévy area as a paths of finite  p-variation in the second truncation of the Tensor Algebra.

The unique extension theorem for pa= ths and almost multiplicative functionals. Continuity of the extension process. "Solutions" to linear differential equations. p>2. More entire functions!

23. Les mots diversement rangés font un divers sens et les sens diversement ra= ngés font différents effets.

23. Words differently arranged have a different meaning, and meanings different= ly arranged have different effects.

in: Pensées sur l'esprit et sur le style. B= laise Pascal, 1660. (Translated by W. F. Trotter 2000).

 

 

 

12 July 2004

12:00

 

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12 July 2004

12:21

 

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14:05

 

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14:47

 

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15:30

 

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13 July 2004

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16:10

 

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13 July 2004

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16:43

 

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17:30

 

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13 July 2004

17:44

 

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13 July 2004

18:02

 

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13 July 2004

18:20

 

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Terry Lyons, Mathematical Institute, 24-29 St. Giles, Oxford

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