Local time of self-affine sets of Brownian motion type - Revisited

Yu Mei Xue; Teturo Kamae

doi:10.1016/j.jmaa.2016.01.005

Local time of self-affine sets of Brownian motion type - Revisited

Yu Mei Xue
, Teturo Kamae^*

^*此作品的通讯作者

数学科学学院

Osaka Metropolitan University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In [5], we studied self-affine sets of Brownian motion type. We obtained the image measure induced by the Lebesgue measure on the domain space. If it is absolutely continuous, the density function is called the local time. The local times are obtained by solving so-called jigsaw puzzle. In this paper, we are specially interested in the self-affine set with 3 pieces with the orientations "up, down, up" (see the picture below).

源语言	英语
页（从-至）	638-644
页数	7
期刊	Journal of Mathematical Analysis and Applications
卷	437
期	1
DOI	https://doi.org/10.1016/j.jmaa.2016.01.005
出版状态	已出版 - 1 5月 2016

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10.1016/j.jmaa.2016.01.005

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title = "Local time of self-affine sets of Brownian motion type - Revisited",

abstract = "In [5], we studied self-affine sets of Brownian motion type. We obtained the image measure induced by the Lebesgue measure on the domain space. If it is absolutely continuous, the density function is called the local time. The local times are obtained by solving so-called jigsaw puzzle. In this paper, we are specially interested in the self-affine set with 3 pieces with the orientations {"}up, down, up{"} (see the picture below).",

keywords = "Hausdorff dimension, Level set, Local time, Self-affine set of Brownian motion type",

author = "Xue, \{Yu Mei\} and Teturo Kamae",

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AU - Kamae, Teturo

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N2 - In [5], we studied self-affine sets of Brownian motion type. We obtained the image measure induced by the Lebesgue measure on the domain space. If it is absolutely continuous, the density function is called the local time. The local times are obtained by solving so-called jigsaw puzzle. In this paper, we are specially interested in the self-affine set with 3 pieces with the orientations "up, down, up" (see the picture below).

AB - In [5], we studied self-affine sets of Brownian motion type. We obtained the image measure induced by the Lebesgue measure on the domain space. If it is absolutely continuous, the density function is called the local time. The local times are obtained by solving so-called jigsaw puzzle. In this paper, we are specially interested in the self-affine set with 3 pieces with the orientations "up, down, up" (see the picture below).

KW - Hausdorff dimension

KW - Level set

KW - Local time

KW - Self-affine set of Brownian motion type

UR - https://www.scopus.com/pages/publications/84959083157

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DO - 10.1016/j.jmaa.2016.01.005

M3 - 文章

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EP - 644

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Local time of self-affine sets of Brownian motion type - Revisited

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