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Pré-Publication, Document De Travail Année : 2011

Homogenization at different linear scales and bounded martingales

Résumé

In this short paper, we look at two scale limits of sequences with varying homogenization periods, each period being a multiple of the previous one. We establish that, up to a measure preserving rearrangement, these two scale limits form a martingale which is bounded: the rearranged two scale limits themselves converge both strongly in $L^2$ and almost everywhere when the period tend to $+\infty$. This limit contains all the information present in all the two scale limits in the sequence.
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Dates et versions

hal-00621265 , version 1 (09-09-2011)
hal-00621265 , version 2 (27-09-2011)
hal-00621265 , version 3 (01-06-2012)
hal-00621265 , version 4 (26-09-2012)

Identifiants

  • HAL Id : hal-00621265 , version 1

Citer

Kévin Santugini-Repiquet. Homogenization at different linear scales and bounded martingales. 2011. ⟨hal-00621265v1⟩
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