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

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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

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

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

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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


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