Absolutely continuous invariant measures for expanding piecewise linear maps

Masato Tsujii

doi:10.1007/PL00005797

Absolutely continuous invariant measures for expanding piecewise linear maps

Masato Tsujii

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

41 Citations (Scopus)

Abstract

We prove the existence of absolutely continuous invariant measures for arbitrary expanding piecewise linear maps on bounded polyhedral domains in Euclidean spaces ℝ^d.

Original language	English
Pages (from-to)	349-373
Number of pages	25
Journal	Inventiones Mathematicae
Volume	143
Issue number	2
DOIs	https://doi.org/10.1007/PL00005797
Publication status	Published - 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1007/PL00005797

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Absolutely continuous invariant measures for expanding piecewise linear maps

Abstract

All Science Journal Classification (ASJC) codes

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