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Article Dans Une Revue Journal of Mathematics and Music Année : 2010

Modelling of sonic textures by homogenization

Résumé

A periodic network is studied with homogenization methods when the nodes are occupied according to Xenakis's model of probabilistic cloud. As the network period shrinks to the null size, the equivalent texture acquires sound properties that depend on the ratio of the high density locations size over the period of their distribution. Three cases are considered according to some critical value of this ratio. The asymptotic pressure characteristic of the limit problem is determined under the assumption that some fundamental frequency is finite and positive.
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Dates et versions

hal-00559410 , version 1 (25-01-2011)

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Isabelle Gruais. Modelling of sonic textures by homogenization. Journal of Mathematics and Music, 2010, 4 (3), pp.133-155. ⟨10.1080/17459737.2010.529676⟩. ⟨hal-00559410⟩
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