Semantic Scholar
Open Access
2018
4 sitasi
Geometrical properties of the mean-median map
Jonathan Hoseana
F. Vivaldi
Abstrak
We study the mean-median map as a dynamical system on the space of finite multisets of piecewise-affine continuous functions with rational coefficients. We determine the structure of the limit function in the neighbourhood of a distinctive family of rational points, the local minima. By constructing a simpler map which represents the dynamics in such neighbourhoods, we extend the results of Cellarosi and Munday (arXiv:1408.3454v1 [math.CO]) by two orders of magnitude. Based on these computations, we conjecture that the Hausdorff dimension of the graph of the limit function of the multiset $[0,x,1]$ is greater than 1.
Topik & Kata Kunci
Penulis (2)
J
Jonathan Hoseana
F
F. Vivaldi
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2018
- Bahasa
- en
- Total Sitasi
- 4×
- Sumber Database
- Semantic Scholar
- DOI
- 10.3934/jcd.2020004
- Akses
- Open Access ✓