Non-commutative symbolic coding

Rolf Gohm; Burkhard Kuemmerer; Tatjana Lang

doi:10.1017/S0143385706000332

Non-commutative symbolic coding

Rolf Gohm, Burkhard Kuemmerer, Tatjana Lang

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Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

7 Dyfyniadau (Scopus)

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We give a non-commutative generalization of classical symbolic coding in the presence of a synchronizing word. This is done by a scattering theoretical approach. Classically, the existence of a synchronizing word turns out to be equivalent to asymptotic completeness of the corresponding Markov process. A criterion for asymptotic completeness in general is provided by the regularity of an associated extended transition operator. Commutative and non-commutative examples are analysed.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	1521-1548
Nifer y tudalennau	28
Cyfnodolyn	Ergodic Theory and Dynamical Systems
Cyfrol	26
Rhif cyhoeddi	5
Dyddiad ar-lein cynnar	11 Medi 2006
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1017/S0143385706000332
Statws	Cyhoeddwyd - 01 Hyd 2006

Mynediad at Ddogfen

10.1017/S0143385706000332

http://hdl.handle.net/2160/1429

Cysylltiad parhaol

Dolen barhaus

Dyfynnu hyn

@article{77949ecc7b474ae38a4ce4cb457ec584,

title = "Non-commutative symbolic coding",

abstract = "We give a non-commutative generalization of classical symbolic coding in the presence of a synchronizing word. This is done by a scattering theoretical approach. Classically, the existence of a synchronizing word turns out to be equivalent to asymptotic completeness of the corresponding Markov process. A criterion for asymptotic completeness in general is provided by the regularity of an associated extended transition operator. Commutative and non-commutative examples are analysed.",

author = "Rolf Gohm and Burkhard Kuemmerer and Tatjana Lang",

note = "Gohm, Rolf; Kummerer, B.; Lang, T., (2006) 'Non-commutative symbolic coding', Ergodic Theory and Dynamical Systems 26(5) pp.1521-1548 RAE2008",

year = "2006",

month = oct,

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doi = "10.1017/S0143385706000332",

language = "English",

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journal = "Ergodic Theory and Dynamical Systems",

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T1 - Non-commutative symbolic coding

AU - Gohm, Rolf

AU - Kuemmerer, Burkhard

AU - Lang, Tatjana

N1 - Gohm, Rolf; Kummerer, B.; Lang, T., (2006) 'Non-commutative symbolic coding', Ergodic Theory and Dynamical Systems 26(5) pp.1521-1548 RAE2008

PY - 2006/10/1

Y1 - 2006/10/1

N2 - We give a non-commutative generalization of classical symbolic coding in the presence of a synchronizing word. This is done by a scattering theoretical approach. Classically, the existence of a synchronizing word turns out to be equivalent to asymptotic completeness of the corresponding Markov process. A criterion for asymptotic completeness in general is provided by the regularity of an associated extended transition operator. Commutative and non-commutative examples are analysed.

AB - We give a non-commutative generalization of classical symbolic coding in the presence of a synchronizing word. This is done by a scattering theoretical approach. Classically, the existence of a synchronizing word turns out to be equivalent to asymptotic completeness of the corresponding Markov process. A criterion for asymptotic completeness in general is provided by the regularity of an associated extended transition operator. Commutative and non-commutative examples are analysed.

U2 - 10.1017/S0143385706000332

DO - 10.1017/S0143385706000332

M3 - Article

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VL - 26

SP - 1521

EP - 1548

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 5

ER -

Non-commutative symbolic coding

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