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首页> 外文期刊>Annales Academiae Scientiarum Fennicae. Mathematica >SELF-AFFINE SETS WITH NON-COMPACTLYSUPPORTED RANDOM PERTURBATIONS
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SELF-AFFINE SETS WITH NON-COMPACTLYSUPPORTED RANDOM PERTURBATIONS

机译:具有非完备支持随机扰动的自仿射集

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摘要

In this note we consider the Hausdorff dimension of self-affine sets with random perturbations. We extend previous work in this area by allowing the random perturbation to be distributed according to distributions with unbounded support as long as the measure of the tails of the distribution decay super polynomially.
机译:在本说明中,我们考虑具有随机扰动的自仿射集的Hausdorff维数。我们通过允许随机扰动根据具有无穷大支持的分布进行分布来扩展该领域的先前工作,只要该分布的尾部的度量超级多项式衰减即可。

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