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 language | English |
|---|---|
| Pages (from-to) | 349-373 |
| Number of pages | 25 |
| Journal | Inventiones Mathematicae |
| Volume | 143 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jan 1 2001 |
Fingerprint
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 journal › Article
}
TY - JOUR
T1 - Absolutely continuous invariant measures for expanding piecewise linear maps
AU - Masato, Tsujii
PY - 2001/1/1
Y1 - 2001/1/1
N2 - We prove the existence of absolutely continuous invariant measures for arbitrary expanding piecewise linear maps on bounded polyhedral domains in Euclidean spaces ℝd.
AB - We prove the existence of absolutely continuous invariant measures for arbitrary expanding piecewise linear maps on bounded polyhedral domains in Euclidean spaces ℝd.
UR - http://www.scopus.com/inward/record.url?scp=0035586852&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035586852&partnerID=8YFLogxK
U2 - 10.1007/PL00005797
DO - 10.1007/PL00005797
M3 - Article
AN - SCOPUS:0035586852
VL - 143
SP - 349
EP - 373
JO - Inventiones Mathematicae
JF - Inventiones Mathematicae
SN - 0020-9910
IS - 2
ER -