dorsal/arxiv
View SchemaA note on the omega-chaos
| Authors | Noriaki Kawaguchi |
|---|---|
| Categories | |
| ArXiv ID | 2601.08479vv1 |
| URL | https://arxiv.org/abs/2601.08479 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
For any continuous self-map of a compact metric space, we provide sufficient conditions under which the infinite direct product of the map is $\omega$-chaotic. We also apply the result to obtain some examples of unusual $\omega$-chaotic maps.
{
"annotation_id": "9f82d15f-2eda-49d7-af37-e05facd024bb",
"date_created": "2026-02-17T05:53:15.847000Z",
"date_modified": "2026-02-17T05:53:15.847000Z",
"file_hash": "8899ef66027d2002dc7633ee52c3330ef31f2c8b25694c95c672c3cc04a90b85",
"private": false,
"record": {
"abstract": "For any continuous self-map of a compact metric space, we provide sufficient conditions under which the infinite direct product of the map is $\\omega$-chaotic. We also apply the result to obtain some examples of unusual $\\omega$-chaotic maps.",
"arxiv_id": "2601.08479",
"authors": [
"Noriaki Kawaguchi"
],
"categories": [
"math.DS"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "A note on the omega-chaos",
"url": "https://arxiv.org/abs/2601.08479",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e1393870-f9d4-4100-b431-942d08988712",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}