论文标题
不可逆转的平面自我植物套装
Non-invertible planar self-affine sets
论文作者
论文摘要
我们将不可逆转的自节点设置的维度与相应的可逆自诉设置的维度进行了比较。特别是，对于通用平面自我诉式集，我们表明尺寸在较大且小时不同时是一致的。我们的研究依赖于热力学形式主义，在这些形式主义中，对于主导和不可还原矩阵，我们完全表征了压力的行为。
We compare the dimension of a non-invertible self-affine set to the dimension of the respective invertible self-affine set. In particular, for generic planar self-affine sets, we show that the dimensions coincide when they are large and differ when they are small. Our study relies on thermodynamical formalism where, for dominated and irreducible matrices, we completely characterize the behavior of the pressures.
