论文标题
盒子计数尺寸和类似盒子的统计自动功能的不同性能
Box-counting dimension and differentiability of box-like statistically self-affine functions
论文作者
论文摘要
我们考虑了一类“类似盒子”的统计自我处理功能，并计算其图形的几乎不符合的盒子计数维度。此外，我们考虑了我们功能的不同性，并证明，根据模型的明确计算功能，它们几乎肯定是几乎到处都是可区分的，或者几乎到处都是不可差的。
We consider a class of "box-like" statistically self-affine functions, and compute the almost-sure box-counting dimension of their graphs. Furthermore, we consider the differentiability of our functions, and prove that, depending on an explicitly computable functional of the model, they are almost surely either differentiable almost everywhere or non-differentiable almost everywhere.
