The power of noise
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The power of noise PUMP UP THE VOLUME! Thomas E. Woolley 9 February 2011 Oxford University SIAM Student Chapter Conference
description
PUMP UP THE VOLUME!. The power of noise. Thomas E. Woolley9 February 2011 Oxford University S IAM Student Chapter Conference. Robustness issues. x. x. Robustness issues. x. x. Deterministic doubling. Deterministic vs stochastic. Weak noise expansion. Fourier transform. - PowerPoint PPT Presentation
Transcript of The power of noise
![Page 1: The power of noise](https://reader035.fdocuments.in/reader035/viewer/2022062218/56815f2d550346895dcdf88e/html5/thumbnails/1.jpg)
The power of noise
PUMP UP THE
VOLUME!
Thomas E. Woolley 9 February 2011Oxford University SIAM Student Chapter Conference
![Page 2: The power of noise](https://reader035.fdocuments.in/reader035/viewer/2022062218/56815f2d550346895dcdf88e/html5/thumbnails/2.jpg)
Robustness issues
x x
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Robustness issues
x x
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Deterministic doubling
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Deterministic vs stochastic
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Weak noise expansion
![Page 7: The power of noise](https://reader035.fdocuments.in/reader035/viewer/2022062218/56815f2d550346895dcdf88e/html5/thumbnails/7.jpg)
Fourier transform
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Quick exponential growth
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Turing systems
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Excited frequencies
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Weak noise expansion
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• Growth can cause patterning.
• Noise excites the same modes as the Turing system.
• The noise excites modes consecutively.
Conclusions
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Acknowledgements• Philip Maini• Eamonn Gaffney• Ruth Baker