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07 July 2004

21:24

 

Lecture Two=

 

Differential equations driven by rough paths with p variation <2. The existence and uniqueness  (and differentiability (rough sketch)) of solutions - following Picard's method.

Mention of counter examples. The non-existence of a bilinear form on any Banach space extending integration from piecewise linear paths to E^2 and carrying Wiener meaure.

Reminder th= at these techniques are already powerful.

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07 July 2004

21:52

 

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07 July 2004

22:39

 

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07 July 2004

22:51

 

 

 

 

08 July 2004

06:05

 

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08 July 2004

06:49

 

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08 July 2004

06:56

 

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08 July 2004

07:22

 

 

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

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