论文标题
ledrappier-young公式用于一个非线性吸引者家族
Ledrappier-Young formulae for a family of nonlinear attractors
论文作者
论文摘要
我们研究了由Falconer，Fraser和Lee引入的非线性，非统一迭代功能系统的吸引者的自然不变措施。这些是Pushforward Quasi-Bernoulli措施，该类别包括众所周知的吉布斯措施，用于Hölder持续潜力。我们表明，这些度量是确切的维度，并且它们的确切尺寸满足了Ledrappier-young公式。
We study a natural class of invariant measures supported on the attractors of a family of nonlinear, non-conformal iterated function systems introduced by Falconer, Fraser and Lee. These are pushforward quasi-Bernoulli measures, a class which includes the well-known class of Gibbs measures for Hölder continuous potentials. We show that these measures are exact dimensional and that their exact dimensions satisfy a Ledrappier-Young formula.
