Absolutely continuous invariant measures for expanding piecewise linear maps

Research output: Contribution to journalArticle

35 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 ℝd.

Original languageEnglish
Pages (from-to)349-373
Number of pages25
JournalInventiones Mathematicae
Volume143
Issue number2
DOIs
Publication statusPublished - Jan 1 2001

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Piecewise Linear Map
Absolutely Continuous Invariant Measure
Euclidean space
Arbitrary

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Absolutely continuous invariant measures for expanding piecewise linear maps. / Masato, Tsujii.

In: Inventiones Mathematicae, Vol. 143, No. 2, 01.01.2001, p. 349-373.

Research output: Contribution to journalArticle

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