Hetero-dimensional baker maps and Dyck shifts
Abstract
We give piecewise affine maps on the unit cube whose symbolic representation is the Dyck shift. This leads to a different way of verifying the chaotic nature of this system, including the computation of entropy.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2023
- DOI:
- arXiv:
- arXiv:2302.02679
- Bibcode:
- 2023arXiv230202679B
- Keywords:
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- Mathematics - Dynamical Systems;
- 37D45;
- 37B10 28A65;
- 37A35
- E-Print:
- I learned too late about arXiv:2209.04905 and their is too much overlap to maintain this preprint