PreprintCC BY-SA 4.0arXiv
A Note on Narrow Systems
Abstract
We examine the relationship between trees and narrow systems. In particular, we prove that if a tree of height κ admits a narrow subsystem, it must contain a well-pruned subtree of height κ. We extend these results to two-cardinal trees.
Related
- Minimax-Optimal Robust Identification of Continuous-Time Systems: Handling Narrow-Band Disturbances in the Frequency Domain
- A note on application of mean-field limit to non-exchangeable non-conservative systems
- A Note on Binary Quadratic Systems and their relation to complexity theory
- The variance of the number of lattice points in narrow sectors
- A spectral approach to the narrow escape problem in two-dimensional domains
BibTeX
@misc{adkisson2026note,
title = {{A Note on Narrow Systems}},
author = {William Adkisson},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.00934},
eprint = {2610.00934},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.00934},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - A Note on Narrow Systems
AU - William Adkisson
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2610.00934
UR - https://arxiv.org/abs/2610.00934
AB - We examine the relationship between trees and narrow systems. In particular, we prove that if a tree of height κ admits a narrow subsystem, it must contain a well-pruned subtree of height κ. We extend these results to two-cardinal trees.
ER -