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On Critical Values for Some Random Processes with Local Interaction in R2

André Toom-2002-01-01-Birkhäuser Boston eBooks
5

TL;DRAbstract

We complete the proof of a necessary and sufficient condition for existence of non-trivial critical values for some classes of random processes with local interaction, where the space is a real plane. Our operators are superpositions of a deterministic operator and a one-sided random noise, where the noise is standard and the geometric properties of the deterministic operator are crucial.

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We complete the proof of a necessary and sufficient condition for existence of non-trivial critical values for some classes of random processes with local interaction, where the space is a real plane. Our operators are superpositions of a deterministic operator and a one-sided random noise, where the noise is standard and the geometric properties of the deterministic operator are crucial.

Keywords

Operator (biology)MathematicsNoise (video)Space (punctuation)Random noisePlane (geometry)Pure mathematicsStatistical physics

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