Local entropy theory, combinatorics, and local theory of Banach spaces
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909675723685888 |
|---|---|
| author | Li, Hanfeng Liu, Kairan |
| author_facet | Li, Hanfeng Liu, Kairan |
| contents | Each continuous action of a countably infinite discrete group $Γ$ on a compact metrizable space X induces a continuous action of $Γ$ on the space M(X) of Borel probability measures on X. We compare the local entropy theory for these two actions, and describe the relation between their IE-tuples. Several other types of tuples are also studied. Our main tool is a new combinatorial lemma. We also give an application of the combinatorial lemma to the local theory of Banach spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03338 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local entropy theory, combinatorics, and local theory of Banach spaces Li, Hanfeng Liu, Kairan Dynamical Systems Combinatorics Functional Analysis Each continuous action of a countably infinite discrete group $Γ$ on a compact metrizable space X induces a continuous action of $Γ$ on the space M(X) of Borel probability measures on X. We compare the local entropy theory for these two actions, and describe the relation between their IE-tuples. Several other types of tuples are also studied. Our main tool is a new combinatorial lemma. We also give an application of the combinatorial lemma to the local theory of Banach spaces. |
| title | Local entropy theory, combinatorics, and local theory of Banach spaces |
| topic | Dynamical Systems Combinatorics Functional Analysis |
| url | https://arxiv.org/abs/2507.03338 |