메뉴 건너뛰기
Inventiones Mathematicae
Volumn 143, Issue 2, 2001, Pages 349-373
Absolutely continuous invariant measures for expanding piecewise linear maps
Author keywords

[No Author keywords available]
Indexed keywords

EID: 0035586852     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005797     Document Type: Article
Times cited : (62)
References (17)
  • 1
    • 0030553008 scopus 로고    scopus 로고
    • n on domains with cusps on the boundaries
    • n on domains with cusps on the boundaries, Ergod. Th. Dynam. Sys. 16, 1-18 (1996)
    • (1996) Ergod. Th. Dynam. Sys. , vol.16 , pp. 1-18
    • Adl-Zarabi, K.1
  • 2
    • 0010196578 scopus 로고    scopus 로고
    • Discreteness and continuity in problems of chaotic dynamics
    • AMS
    • Blank, M., Discreteness and continuity in problems of chaotic dynamics, Translations of Mathematical Monographs, 161. AMS (1997)
    • (1997) Translations of Mathematical Monographs , pp. 161
    • Blank, M.1
  • 3
    • 0034399121 scopus 로고    scopus 로고
    • A.C.I.M.'S for arbitrary expanding piecewise ℝ-analytic mappings of the plane
    • Buzzi, J., A.C.I.M.'S for arbitrary expanding piecewise ℝ-analytic mappings of the plane, Ergod. Th. Dynam. Sys. 20, 697-708 (2000)
    • (2000) Ergod. Th. Dynam. Sys. , vol.20 , pp. 697-708
    • Buzzi, J.1
  • 5
    • 19544362529 scopus 로고    scopus 로고
    • Zeta functions and transfer operators for multi-dimensional piecewise affine and expanding maps
    • to appear
    • Buzzi, J., Keller, G., Zeta functions and transfer operators for multi-dimensional piecewise affine and expanding maps, Ergod. Th. Dynam. Sys. (to appear)
    • Ergod. Th. Dynam. Sys.
    • Buzzi, J.1    Keller, G.2
  • 8
    • 0003343498 scopus 로고
    • Minimal Surfaces and Functions of Bounded Variation
    • Birkhauser, Boston
    • Giusti, E., Minimal Surfaces and Functions of Bounded Variation, Monographs in Mathematics, Vol. 80, Birkhauser, Boston, 1984
    • (1984) Monographs in Mathematics , vol.80
    • Giusti, E.1
  • 9
    • 84966210686 scopus 로고
    • Sur un théorème spectral et son application aux noyaux lipschitziens
    • H. Hennion, Sur un théorème spectral et son application aux noyaux lipschitziens, Proc. Amer. Math. Sci. 118, 627-634 (1993)
    • (1993) Proc. Amer. Math. Sci. , vol.118 , pp. 627-634
    • Hennion, H.1
  • 10
    • 0000819591 scopus 로고
    • Ergodic properties of invariant measures for piecewise monotonic transformations
    • Hofbauer, F., Keller, G., Ergodic properties of invariant measures for piecewise monotonic transformations., Math. Z. 180, 119-140 (1982)
    • (1982) Math. Z. , vol.180 , pp. 119-140
    • Hofbauer, F.1    Keller, G.2
  • 11
    • 0001386063 scopus 로고
    • Theórie ergodique pour des classes d'opérations non complètement continues
    • Ionescu-Tulcea, C., Marinescu, G., Theórie ergodique pour des classes d'opérations non complètement continues. Ann. Math. (2) 52, 140-147 (1950)
    • (1950) Ann. Math. (2) , vol.52 , pp. 140-147
    • Ionescu-Tulcea, C.1    Marinescu, G.2
  • 13
    • 0001474630 scopus 로고
    • Generalized bounded variation and applications to piecewise monotonie transformations
    • Keller, G., Generalized bounded variation and applications to piecewise monotonie transformations, Z. Wahr. verw. Geb. 69, 461-478 (1985)
    • (1985) Z. Wahr. Verw. Geb. , vol.69 , pp. 461-478
    • Keller, G.1
  • 14
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonie transformations
    • Lasota, A., Yorke, J., On the existence of invariant measures for piecewise monotonie transformations, Trans. A.M.S. 186, 481-488 (1973)
    • (1973) Trans. A.M.S. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.2
  • 15
    • 0034366519 scopus 로고    scopus 로고
    • Absolutely continuous invariant measures for multidimensional expanding maps
    • Saussol, B., Absolutely continuous invariant measures for multidimensional expanding maps, Israel J. Math. 116, 223-248 (2000)
    • (2000) Israel J. Math. , vol.116 , pp. 223-248
    • Saussol, B.1
  • 16
    • 0034349838 scopus 로고    scopus 로고
    • Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane
    • Tsujii, M., Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane, Commun. Math. Phys. 208, 605-622 (2000)
    • (2000) Commun. Math. Phys. , vol.208 , pp. 605-622
    • Tsujii, M.1
  • 17
    • 0002613486 scopus 로고    scopus 로고
    • Piecewise expanding maps on the plane with singular ergodic properties
    • to appear
    • Tsujii, M., Piecewise expanding maps on the plane with singular ergodic properties, Ergod. Th. Dynam. Sys. (to appear)
    • Ergod. Th. Dynam. Sys.
    • Tsujii, M.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.