PreprintCC BY-SA 4.0arXiv
A note on the non-wandering dynamics in the n-fold symmetric products
Abstract
We construct a homeomorphism on a compact metric space whose non-wandering set consists of a single fixed point, while the induced map Fn(f) possesses infinitely many (non-fixed) non-wandering points.
Related
- Global classification of oscillatory dynamics in symmetric zero-divergence 3D piecewise-linear Filippov systems with a visible--visible two-fold
- Higher Massey Products in Demuškin Variations: Support Blocks, One-Relator Reduction, and a Five-Fold Vanishing Case
- Gradient growth and relaxation to jump profiles for 3-fold symmetric scale-invariant Euler flows
- A note on the stability of Arens products under small perturbations of multiplication
- Generation of Iterated Wreath Products Constructed from Full Transformation Monoids and Symmetric Groups
BibTeX
@misc{đoric2026note,
title = {{A note on the non-wandering dynamics in the $n$-fold symmetric products}},
author = {Maša Đorić},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23058},
eprint = {2610.23058},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23058},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - A note on the non-wandering dynamics in the n-fold symmetric products
AU - Maša Đorić
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23058
UR - https://arxiv.org/abs/2610.23058
AB - We construct a homeomorphism on a compact metric space whose non-wandering set consists of a single fixed point, while the induced map F_n(f) possesses infinitely many (non-fixed) non-wandering points.
ER -