具有非紧支撑随机扰动的自仿射集
Self-affine sets with non-compactly supported random perturbations
摘要:
本文研究了具有随机扰动的自仿射集的豪斯多夫维数。我们扩展以前的工作在这方面允许随机扰动分布根据无界支持的分布,只要测量的尾部的分布衰减超多项式。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。