2017/03/27 by Ian D. Morris, Morris, Ian D.
Mathematics · Physics and Astronomy · #15A60 #28A80 (primary) #37D35 #37H15 (secondary) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1703.09097
openalex publication_date 2017/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we investigate the pressure function and affinity dimension\nfor iterated function systems associated to the "box-like" self-affine fractals\ninvestigated by D.-J. Feng, Y. Wang and J.M. Fraser. Combining previous results\nof V. Yu. Protasov, A. K "aenm "aki and the author we obtain an explicit\nformula for the pressure function which makes it straightforward to compute the\naffinity dimension of box-like self-affine sets. We also prove a variant of\nthis formula which allows the computation of a modified singular value pressure\nfunction defined by J.M. Fraser. We give some explicit examples where the\nHausdorff and packing dimensions of a box-like self-affine fractal may be\neasily computed.\n