On The Possible Growth Rate of a Scaling Entropy Sequence

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On The Possible Growth Rate of a Scaling Entropy Sequence. / Zatitskiy, P. B.

In: Journal of Mathematical Sciences (United States), Vol. 215, No. 6, 2016, p. 715-733.

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Zatitskiy, P. B. / On The Possible Growth Rate of a Scaling Entropy Sequence. In: Journal of Mathematical Sciences (United States). 2016 ; Vol. 215, No. 6. pp. 715-733.

BibTeX

@article{a7f615e399954cfb9c55b1033f5ac469,

title = "On The Possible Growth Rate of a Scaling Entropy Sequence",

abstract = "We define a scaling entropy sequence of a group action and give a family of examples that exhaust all possible growth rates of entropy scaling sequences for actions of the groups ℤ and ⊕ℤ2.",

keywords = "entropy, central measure, Path Space, Uniform Measure, Terminal Vertex",

author = "Zatitskiy, {P. B.}",

note = "Zatitskiy, P.B. On The Possible Growth Rate of a Scaling Entropy Sequence. J Math Sci 215, 715–733 (2016). https://doi.org/10.1007/s10958-016-2877-z",

year = "2016",

doi = "10.1007/s10958-016-2877-z",

language = "English",

volume = "215",

pages = "715--733",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "6",

}

RIS

TY - JOUR

T1 - On The Possible Growth Rate of a Scaling Entropy Sequence

AU - Zatitskiy, P. B.

N1 - Zatitskiy, P.B. On The Possible Growth Rate of a Scaling Entropy Sequence. J Math Sci 215, 715–733 (2016). https://doi.org/10.1007/s10958-016-2877-z

PY - 2016

Y1 - 2016

N2 - We define a scaling entropy sequence of a group action and give a family of examples that exhaust all possible growth rates of entropy scaling sequences for actions of the groups ℤ and ⊕ℤ2.

AB - We define a scaling entropy sequence of a group action and give a family of examples that exhaust all possible growth rates of entropy scaling sequences for actions of the groups ℤ and ⊕ℤ2.

KW - entropy

KW - central measure

KW - Path Space

KW - Uniform Measure

KW - Terminal Vertex

UR - http://www.scopus.com/inward/record.url?scp=84966712908&partnerID=8YFLogxK

U2 - 10.1007/s10958-016-2877-z

DO - 10.1007/s10958-016-2877-z

M3 - Article

AN - SCOPUS:84966712908

VL - 215

SP - 715

EP - 733

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 36193511