| bibtype |
J -
Journal Article
|
| ARLID |
0493628 |
| utime |
20240103220521.4 |
| mtime |
20180924235959.9 |
| SCOPUS |
85047666962 |
| WOS |
000432564300020 |
| DOI |
10.1090/proc/14029 |
| title
(primary) (eng) |
Arcwise connectedness of the set of ergodic measures of hereditary shifts |
| specification |
| page_count |
14 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257498 |
| ISSN |
0002-9939 |
| title
|
Proceedings of the American Mathematical Society |
| volume_id |
146 |
| volume |
8 (2018) |
| page_num |
3425-3438 |
| publisher |
| name |
American Mathematical Society |
|
|
| keyword |
Kolmogorov-Sinai (metric) entropy |
| keyword |
hereditary shift space |
| keyword |
Poulsen simplex |
| keyword |
Besicovitch pseudometric |
| keyword |
d-bar metric |
| author
(primary) |
| ARLID |
cav_un_auth*0364287 |
| name1 |
Konieczny |
| name2 |
J. |
| country |
PL |
|
| author
|
| ARLID |
cav_un_auth*0219359 |
| name1 |
Kupsa |
| name2 |
Michal |
| full_dept (cz) |
Stochastická informatika |
| full_dept |
Department of Stochastic Informatics |
| department (cz) |
SI |
| department |
SI |
| institution |
UTIA-B |
| 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 |
|
| cas_special |
| abstract
(eng) |
We show that the set of ergodic invariant measures of a shift space with a safe symbol (this includes all hereditary shifts) is arcwise connected when endowed with the $ d$-bar metric. As a consequence the set of ergodic measures of such a shift is also arcwise connected in the weak-star topology, and the entropy function over this set attains all values in the interval between zero and the topological entropy of the shift (inclusive). The latter result is motivated by a conjecture of A. Katok. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2019 |
| num_of_auth |
3 |
| mrcbC52 |
4 A hod 4ah 20231122143417.5 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0286978 |
| mrcbC64 |
1 Department of Stochastic Informatics UTIA-B 10101 MATHEMATICS |
| confidential |
S |
| mrcbC86 |
1* Article Mathematics Applied|Mathematics |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-j |
0.817 |
| mrcbT16-s |
1.108 |
| mrcbT16-B |
69.662 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2018 |
| mrcbTft |
\nSoubory v repozitáři: kupsa-0493628.pdf |
| mrcbU14 |
85047666962 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000432564300020 WOS |
| mrcbU63 |
cav_un_epca*0257498 Proceedings of the American Mathematical Society 0002-9939 1088-6826 Roč. 146 č. 8 2018 3425 3438 American Mathematical Society |
|