article · Proceedings of the American Mathematical Society · 2023
Fractal dimensions of continuous piecewise linear iterated function systems
Rudolf Dániel Prokaj, Peter Raith, Károly Simon
Cited by 1Abstract and details only
Abstract
We consider iterated function systems on the real line that consist of continuous, piecewise linear functions. Under a mild separation condition, we show that the Hausdorff and box dimensions of the attractor are equal to the minimum of 1 and the exponent which comes from the most natural system of covers of the attractor.
Cite this paper
Prokaj, R. D., Raith, P., & Simon, K. (2023). Fractal dimensions of continuous piecewise linear iterated function systems. Proceedings of the American Mathematical Society, 151(11), 4703–4719. https://doi.org/10.1090/proc/16430
Prokaj, Rudolf Dániel, et al. “Fractal dimensions of continuous piecewise linear iterated function systems.” Proceedings of the American Mathematical Society, vol. 151, no. 11, 2023, pp. 4703–19, https://doi.org/10.1090/proc/16430.
Prokaj, Rudolf Dániel, Peter Raith, and Károly Simon. 2023. “Fractal dimensions of continuous piecewise linear iterated function systems.” Proceedings of the American Mathematical Society 151 (11): 4703–19. https://doi.org/10.1090/proc/16430.
Prokaj, R.D., Raith, P. and Simon, K. (2023) ‘Fractal dimensions of continuous piecewise linear iterated function systems’, Proceedings of the American Mathematical Society, 151(11), pp. 4703–4719. Available at: https://doi.org/10.1090/proc/16430.
@article{prokaj2023fractal,
title = {{Fractal dimensions of continuous piecewise linear iterated function systems}},
author = {Prokaj, Rudolf Dániel and Raith, Peter and Simon, Károly},
journal = {Proceedings of the American Mathematical Society},
volume = {151},
number = {11},
pages = {4703--4719},
year = {2023},
doi = {10.1090/proc/16430}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.