On the large deviation rates of non-entropy-approachable measures

Masayuki Asaoka; Kenichiro Yamamoto

doi:10.3934/dcds.2013.33.4401

Article Contents

2013, Volume 33, Issue 10: 4401-4410. Doi: 10.3934/dcds.2013.33.4401

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On the large deviation rates of non-entropy-approachable measures

Masayuki Asaoka^1, and
Kenichiro Yamamoto^2,

1.
Department of Mathematics, Kyoto University, 606-8502, Kyoto
2.
School of Information Environment, Tokyo Denki University, 2-1200 Buseigakuendai, Inzai-shi, Chiba 270-1382

Received: September 30, 2010

Revised: February 28, 2013

Published: September 2013

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Abstract

We construct a non-ergodic maximal entropy measure of a $C^{\infty}$ diffeomorphism with a positive entropy such that neither the entropy nor the large deviation rate of the measure is influenced by that of ergodic measures near it.

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Mathematics Subject Classification: Primary: 37C40; Secondary: 60F10.

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References

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