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Square Summability ...
Square Summability of Variations and Convergence of the Transfer Operator
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- Johansson, Anders (författare)
- Högskolan i Gävle,Ämnesavdelningen för matematik och statistik,Matematik
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- Öberg, Anders, 1968- (författare)
- Uppsala universitet,Analys och tillämpad matematik,Department of Mathematics, Uppsala University, Uppsala, Sweden
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(creator_code:org_t)
- 2008
- 2008
- Engelska.
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Ingår i: Ergodic Theory and Dynamical Systems. - 0143-3857 .- 1469-4417. ; 28:4, s. 1145-1151
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- In this paper we study the one-sided shift operator on a state space defined by a finite alphabet. Using a scheme developed by Walters [P. Walters. Trans. Amer Math. Soc. 353(l) (2001), 327-347], we prove that the sequence of iterates of the transfer operator converges under square summability of variations of the g-function, a condition which gave uniqueness of a g-measure in our earlier work [A. Johansson and A. Oberg. Math. Res. Lett. 10(5-6) (2003), 587-601]. We also prove uniqueness of the so-called G-measures, introduced by Brown and Dooley [G. Brown and A. H. Dooley. Ergod. Th. & Dynam. Sys. 11 (1991), 279-307], under square summability of variations.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Mathematical analysis
- Analys
- Mathematics
- Matematik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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