Large Deviation Principle of Nonconventional Ergodic Averages

Jung Chao Ban; Wen Guei Hu; Guan Yu Lai

doi:10.1007/s10955-023-03073-y

Large Deviation Principle of Nonconventional Ergodic Averages

Jung Chao Ban
, Wen Guei Hu
, Guan Yu Lai^*

^*Corresponding author for this work

Research output: Contribution to journal › Journal Article › peer-review

Abstract

This paper establishes the large deviation principle (LDP) of certain types of nonconventional ergodic averages, namely, 1NSN∗ and 1NSN# on N (defined later). The LDP for both averages are presented and such a result extends the preceding work of (Carinci et al. in Indag Math 23(3):589–602, 2012) to some specific cases of d-multiple averages for d≥ 3.

Original language	English
Article number	61
Journal	Journal of Statistical Physics
Volume	190
Issue number	3
DOIs	https://doi.org/10.1007/s10955-023-03073-y
State	Published - 03 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

Free energy function
Large deviation priciple
Multiplicative shift
Nonconvensional ergodic averages

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10.1007/s10955-023-03073-y

Cite this

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title = "Large Deviation Principle of Nonconventional Ergodic Averages",

abstract = "This paper establishes the large deviation principle (LDP) of certain types of nonconventional ergodic averages, namely, 1NSN∗ and 1NSN\# on N (defined later). The LDP for both averages are presented and such a result extends the preceding work of (Carinci et al. in Indag Math 23(3):589–602, 2012) to some specific cases of d-multiple averages for d≥ 3.",

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N2 - This paper establishes the large deviation principle (LDP) of certain types of nonconventional ergodic averages, namely, 1NSN∗ and 1NSN# on N (defined later). The LDP for both averages are presented and such a result extends the preceding work of (Carinci et al. in Indag Math 23(3):589–602, 2012) to some specific cases of d-multiple averages for d≥ 3.

AB - This paper establishes the large deviation principle (LDP) of certain types of nonconventional ergodic averages, namely, 1NSN∗ and 1NSN# on N (defined later). The LDP for both averages are presented and such a result extends the preceding work of (Carinci et al. in Indag Math 23(3):589–602, 2012) to some specific cases of d-multiple averages for d≥ 3.

KW - Free energy function

KW - Large deviation priciple

KW - Multiplicative shift

KW - Nonconvensional ergodic averages

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U2 - 10.1007/s10955-023-03073-y

DO - 10.1007/s10955-023-03073-y

M3 - 文章

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JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

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M1 - 61

ER -

Large Deviation Principle of Nonconventional Ergodic Averages

Abstract

Bibliographical note

Keywords

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