| bibtype |
J -
Journal Article
|
| ARLID |
0561667 |
| utime |
20250312130308.0 |
| mtime |
20220928235959.9 |
| SCOPUS |
85124961285 |
| WOS |
000755540400001 |
| DOI |
10.1017/etds.2021.167 |
| title
(primary) (eng) |
On d-approachability, entropy density and B-free shifts |
| specification |
| page_count |
27 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0252855 |
| ISSN |
0143-3857 |
| title
|
Ergodic Theory and Dynamical Systems |
| volume_id |
43 |
| volume |
3 (2023) |
| page_num |
943-970 |
| publisher |
| name |
Cambridge University Press |
|
|
| keyword |
specification property |
| keyword |
Besicovitch pseudometric |
| keyword |
topological entropy |
| keyword |
Poulsen simplex |
| keyword |
shift space |
| author
(primary) |
| ARLID |
cav_un_auth*0364287 |
| name1 |
Konieczny |
| name2 |
J. |
| country |
PL |
|
| author
|
| ARLID |
cav_un_auth*0219359 |
| name1 |
Kupsa |
| name2 |
Michal |
| institution |
UTIA-B |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| full_dept |
Department of Stochastic Informatics |
| country |
CZ |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0364286 |
| name1 |
Kwietniak |
| name2 |
D. |
| country |
PL |
|
| source |
|
| source |
|
| cas_special |
| abstract
(eng) |
We study approximation schemes for shift spaces over a finite alphabet using (pseudo)metrics connected to Ornstein's (d) over bar metric. This leads to a class of shift spaces we call (d) over bar -approachable. A shift space is (d) over bar -approachable when its canonical sequence of Markov approximations converges to it also in the (d) over bar sense. We give a topological characterization of chain-mixing (d) over bar -approachable shift spaces. As an application we provide a new criterion for entropy density of ergodic measures. Entropy density of a shift space means that every invariant measure mu of such a shift space is the weak* limit of a sequence mu(n) of ergodic measures with the corresponding sequence of entropies h(mu) converging to h(mu) . We prove ergodic measures are entropy-dense for every shift space that can be approximated in the (d) over bar pseudometric by a sequence of transitive sofic shifts. This criterion can be applied to many examples that were beyond the reach of previously known techniques including hereditary B-free shifts and some minimal or proximal systems. The class of symbolic dynamical systems covered by our results includes also shift spaces where entropy density was established previously using the (almost) specification property. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10102 |
| reportyear |
2024 |
| num_of_auth |
3 |
| mrcbC52 |
2 R hod 4 4rh 4 20250310155644.7 4 20250310155900.0 |
| inst_support |
RVO:67985556 |
| permalink |
https://hdl.handle.net/11104/0341148 |
| confidential |
S |
| mrcbC91 |
C |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-j |
0.892 |
| mrcbT16-s |
1.005 |
| mrcbT16-D |
Q1 |
| mrcbT16-E |
Q1 |
| arlyear |
2023 |
| mrcbTft |
\nSoubory v repozitáři: kupsa-0561667.pdf |
| mrcbU14 |
85124961285 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000755540400001 WOS |
| mrcbU63 |
cav_un_epca*0252855 Ergodic Theory and Dynamical Systems 0143-3857 1469-4417 Roč. 43 č. 3 2023 943 970 Cambridge University Press |
|