Matches in SemOpenAlex for { <https://semopenalex.org/work/W1483459778> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W1483459778 abstract "This study investigates the natural or intrinsic measure of a symbolic dynamical system $Sigma$. The measure $mu([i_{1},i_{2},...,i_{n}])$ of a pattern $[i_{1},i_{2},...,i_{n}]$ in $Sigma$ is an asymptotic ratio of $[i_{1},i_{2},...,i_{n}]$, which arises in all patterns of length $n$ within very long patterns, such that in a typical long pattern, the pattern $[i_{1},i_{2},...,i_{n}]$ appears with frequency $mu([i_{1},i_{2},...,i_{n}])$. When $Sigma=Sigma(A)$ is a shift of finite type and $A$ is an irreducible $Ntimes N$ non-negative matrix, the measure $mu$ is the Parry measure. $mu$ is ergodic with maximum entropy. The result holds for sofic shift $mathcal{G}=(G,mathcal{L})$, which is irreducible. The result can be extended to $Sigma(A)$, where $A$ is a countably infinite matrix that is irreducible, aperiodic and positive recurrent. By using the Krieger cover, the natural measure of a general shift space is studied in the way of a countably infinite state of sofic shift, including context free shift. The Perron-Frobenius Theorem for non-negative matrices plays an essential role in this study." @default.
- W1483459778 created "2016-06-24" @default.
- W1483459778 creator A5030241329 @default.
- W1483459778 creator A5066009311 @default.
- W1483459778 date "2013-08-13" @default.
- W1483459778 modified "2023-09-23" @default.
- W1483459778 title "The natural measure of a symbolic dynamical system" @default.
- W1483459778 cites W1565611252 @default.
- W1483459778 cites W1566581944 @default.
- W1483459778 cites W1941306478 @default.
- W1483459778 cites W1972241832 @default.
- W1483459778 cites W1995082460 @default.
- W1483459778 cites W2025503267 @default.
- W1483459778 cites W2032586871 @default.
- W1483459778 cites W2065145870 @default.
- W1483459778 cites W2165469059 @default.
- W1483459778 cites W251541744 @default.
- W1483459778 cites W3152478022 @default.
- W1483459778 cites W80303220 @default.
- W1483459778 doi "https://doi.org/10.48550/arxiv.1308.2996" @default.
- W1483459778 hasPublicationYear "2013" @default.
- W1483459778 type Work @default.
- W1483459778 sameAs 1483459778 @default.
- W1483459778 citedByCount "1" @default.
- W1483459778 countsByYear W14834597782018 @default.
- W1483459778 crossrefType "posted-content" @default.
- W1483459778 hasAuthorship W1483459778A5030241329 @default.
- W1483459778 hasAuthorship W1483459778A5066009311 @default.
- W1483459778 hasBestOaLocation W14834597781 @default.
- W1483459778 hasConcept C104247578 @default.
- W1483459778 hasConcept C106301342 @default.
- W1483459778 hasConcept C106487976 @default.
- W1483459778 hasConcept C114614502 @default.
- W1483459778 hasConcept C118615104 @default.
- W1483459778 hasConcept C121332964 @default.
- W1483459778 hasConcept C122044880 @default.
- W1483459778 hasConcept C127413603 @default.
- W1483459778 hasConcept C159985019 @default.
- W1483459778 hasConcept C192562407 @default.
- W1483459778 hasConcept C202444582 @default.
- W1483459778 hasConcept C2778049214 @default.
- W1483459778 hasConcept C2780009758 @default.
- W1483459778 hasConcept C2780350623 @default.
- W1483459778 hasConcept C2780428219 @default.
- W1483459778 hasConcept C33923547 @default.
- W1483459778 hasConcept C33962884 @default.
- W1483459778 hasConcept C41008148 @default.
- W1483459778 hasConcept C62520636 @default.
- W1483459778 hasConcept C77088390 @default.
- W1483459778 hasConcept C78519656 @default.
- W1483459778 hasConcept C79379906 @default.
- W1483459778 hasConceptScore W1483459778C104247578 @default.
- W1483459778 hasConceptScore W1483459778C106301342 @default.
- W1483459778 hasConceptScore W1483459778C106487976 @default.
- W1483459778 hasConceptScore W1483459778C114614502 @default.
- W1483459778 hasConceptScore W1483459778C118615104 @default.
- W1483459778 hasConceptScore W1483459778C121332964 @default.
- W1483459778 hasConceptScore W1483459778C122044880 @default.
- W1483459778 hasConceptScore W1483459778C127413603 @default.
- W1483459778 hasConceptScore W1483459778C159985019 @default.
- W1483459778 hasConceptScore W1483459778C192562407 @default.
- W1483459778 hasConceptScore W1483459778C202444582 @default.
- W1483459778 hasConceptScore W1483459778C2778049214 @default.
- W1483459778 hasConceptScore W1483459778C2780009758 @default.
- W1483459778 hasConceptScore W1483459778C2780350623 @default.
- W1483459778 hasConceptScore W1483459778C2780428219 @default.
- W1483459778 hasConceptScore W1483459778C33923547 @default.
- W1483459778 hasConceptScore W1483459778C33962884 @default.
- W1483459778 hasConceptScore W1483459778C41008148 @default.
- W1483459778 hasConceptScore W1483459778C62520636 @default.
- W1483459778 hasConceptScore W1483459778C77088390 @default.
- W1483459778 hasConceptScore W1483459778C78519656 @default.
- W1483459778 hasConceptScore W1483459778C79379906 @default.
- W1483459778 hasLocation W14834597781 @default.
- W1483459778 hasOpenAccess W1483459778 @default.
- W1483459778 hasPrimaryLocation W14834597781 @default.
- W1483459778 hasRelatedWork W2023806233 @default.
- W1483459778 hasRelatedWork W2044004505 @default.
- W1483459778 hasRelatedWork W2053145346 @default.
- W1483459778 hasRelatedWork W2762998779 @default.
- W1483459778 hasRelatedWork W2964298733 @default.
- W1483459778 hasRelatedWork W3036722211 @default.
- W1483459778 hasRelatedWork W3171354053 @default.
- W1483459778 hasRelatedWork W3173073761 @default.
- W1483459778 hasRelatedWork W4200418002 @default.
- W1483459778 hasRelatedWork W4287755483 @default.
- W1483459778 isParatext "false" @default.
- W1483459778 isRetracted "false" @default.
- W1483459778 magId "1483459778" @default.
- W1483459778 workType "article" @default.