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Thermally activated switching in the presence of non-Gaussian noise

โœ Scribed by Billings, Lora; Dykman, Mark I.; Schwartz, Ira B.


Book ID
120788581
Publisher
The American Physical Society
Year
2008
Tongue
English
Weight
97 KB
Volume
78
Category
Article
ISSN
1063-651X

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We consider the average case L -approximation of functions from C r ([0, 1]) with respect to the r-fold Wiener measure. An approximation is based on n function evaluations in the presence of Gaussian noise with variance \_ 2 >0. We show that the n th minimal average error is of order n &(2r+1)ร‚(4r+4