메뉴 건너뛰기




Volumn 6, Issue 6, 2000, Pages 623-638

Wandering sets for a class of Borel isomorphisms of [0,1)

Author keywords

Affine interval exchange; Borel; Ergodic; Orbit cluster point set; Piecewise linear; Rotation number; Wandering set; Wavelet set

Indexed keywords


EID: 33748690506     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02510699     Document Type: Review
Times cited : (2)

References (22)
  • 1
    • 0347640883 scopus 로고
    • Dense orbits of rationals
    • Boshernitzan, M. (1993). Dense orbits of rationals, Proc. Am. Math. Soc., 117, 1201-1203.
    • (1993) Proc. Am. Math. Soc. , vol.117 , pp. 1201-1203
    • Boshernitzan, M.1
  • 2
    • 0031317067 scopus 로고    scopus 로고
    • Affine interval exchange transformations with wandering intervals
    • Camelier, R. and Gutierrez, C. (1997). Affine interval exchange transformations with wandering intervals, Ergodic Theory Dynam. Systems, 17, 1315-1338.
    • (1997) Ergodic Theory Dynam. Systems , vol.17 , pp. 1315-1338
    • Camelier, R.1    Gutierrez, C.2
  • 3
    • 21844518367 scopus 로고
    • Absolutely continuous invariant measures for a class of affine interval exchange maps
    • Coelho, Z., Lopes, A., and da Rocha, L. (1995). Absolutely continuous invariant measures for a class of affine interval exchange maps, Proc. Am. Math. Soc., 123, 3533-3542.
    • (1995) Proc. Am. Math. Soc. , vol.123 , pp. 3533-3542
    • Coelho, Z.1    Lopes, A.2    Da Rocha, L.3
  • 4
    • 33749304801 scopus 로고    scopus 로고
    • Wandering vectors for unitary systems and orthogonal wavelets
    • Dai, X. and Larson, D. (1998). Wandering vectors for unitary systems and orthogonal wavelets, Memoirs Am. Math. Soc., 134.
    • (1998) Memoirs Am. Math. Soc. , vol.134
    • Dai, X.1    Larson, D.2
  • 5
    • 84966202895 scopus 로고
    • The structure of hyperfinite Borel equivalence relations
    • Dougherty, R., Jackson, S., and Kechris, A. (1994). The structure of hyperfinite Borel equivalence relations, Trans. Am. Math. Soc, 341, 193-225.
    • (1994) Trans. Am. Math. Soc , vol.341 , pp. 193-225
    • Dougherty, R.1    Jackson, S.2    Kechris, A.3
  • 6
    • 0001840260 scopus 로고
    • Transformation groups and C*-algebras
    • Effros, E. (1965). Transformation groups and C*-algebras, Ann. of Math., 81, 38-55.
    • (1965) Ann. of Math. , vol.81 , pp. 38-55
    • Effros, E.1
  • 7
    • 0001862051 scopus 로고
    • Polish transformations groups and classifications problems
    • McAuley, L.F. and Rao, M.M., Eds., Academic Press
    • Effros, E. (1980). Polish transformations groups and classifications problems, McAuley, L.F. and Rao, M.M., Eds., General Topology and Modern Analysis, Academic Press, 217-227.
    • (1980) General Topology and Modern Analysis , pp. 217-227
    • Effros, E.1
  • 8
    • 0001101388 scopus 로고
    • Locally compact transformation groups
    • Glimm, J, (1961). Locally compact transformation groups, Trans. Am. Math. Soc., 101, 134-138.
    • (1961) Trans. Am. Math. Soc. , vol.101 , pp. 134-138
    • Glimm, J.1
  • 10
    • 84968515230 scopus 로고
    • A Glimm-Effros dichotomy for Borel equivalence relations
    • Harrington, L., Kechris, A., and Louveau, A. (1990). A Glimm-Effros dichotomy for Borel equivalence relations, J. Am. Math. Soc, 3, 903-928.
    • (1990) J. Am. Math. Soc , vol.3 , pp. 903-928
    • Harrington, L.1    Kechris, A.2    Louveau, A.3
  • 11
    • 51249187032 scopus 로고
    • Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations
    • Herman, M. (1979). Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations, Inst. Hautes Études Sci. Publ. Math., 49.
    • (1979) Inst. Hautes Études Sci. Publ. Math. , vol.49
    • Herman, M.1
  • 12
    • 0030589733 scopus 로고    scopus 로고
    • Borel equivalence relations and classifications of countable models
    • Hjorth, G. and Kechris, A. (1996). Borel equivalence relations and classifications of countable models, Ann. Pure Appl. Logic, 82, 21-272.
    • (1996) Ann. Pure Appl. Logic , vol.82 , pp. 21-272
    • Hjorth, G.1    Kechris, A.2
  • 13
    • 33646862901 scopus 로고
    • Piecewise invertible dynamical systems
    • Hofbauer, F. (1986). Piecewise invertible dynamical systems, Probab. Th. Rel. Fields, 72, 359-386.
    • (1986) Probab. Th. Rel. Fields , vol.72 , pp. 359-386
    • Hofbauer, F.1
  • 15
    • 0031539522 scopus 로고    scopus 로고
    • The classification of hypersmooth Borel equivalence relations
    • Kechris, A. and Louveau, A. (1997). The classification of hypersmooth Borel equivalence relations. J. Am. Math. Soc., 10, 215-242.
    • (1997) J. Am. Math. Soc. , vol.10 , pp. 215-242
    • Kechris, A.1    Louveau, A.2
  • 16
    • 0002966856 scopus 로고
    • Circle homeomorphisms with weak discontinuities
    • Khanin, K. and Vul, E. (1991). Circle homeomorphisms with weak discontinuities, Advances in Soviet Mathematics, 3, 57-98.
    • (1991) Advances in Soviet Mathematics , vol.3 , pp. 57-98
    • Khanin, K.1    Vul, E.2
  • 17
    • 0001163870 scopus 로고    scopus 로고
    • Von Neumann algebras and wavelets
    • NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Kluwer Acad. Publ., Dordrecht
    • Larson, D. (1997). Von Neumann algebras and wavelets, Operator algebras and applications (Samos, 1996), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 495, Kluwer Acad. Publ., Dordrecht, 267-312.
    • (1997) Operator Algebras and Applications (Samos, 1996) , vol.495 , pp. 267-312
    • Larson, D.1
  • 19
    • 0003209982 scopus 로고
    • Dynamical systems: Stability, symbolic dynamics, and chaos
    • CRC Press, Ann Arbor
    • Robinson, C. (1995). Dynamical systems: stability, symbolic dynamics, and chaos, Studies in Advanced Mathematics, CRC Press, Ann Arbor.
    • (1995) Studies in Advanced Mathematics
    • Robinson, C.1
  • 21
    • 0001983769 scopus 로고
    • Orbit equivalence of nonsingular actions, Ergodic Theory
    • (Sem., Les Plans-sur-Bex), (French)
    • Weiss, B. (1981). Orbit equivalence of nonsingular actions, Ergodic Theory. (Sem., Les Plans-sur-Bex), (French), Monograph. Enseign. Math., 29, 77-107.
    • (1981) Monograph. Enseign. Math. , vol.29 , pp. 77-107
    • Weiss, B.1
  • 22
    • 0000436023 scopus 로고
    • Measurable Dynamics
    • Weiss, B. (1984). Measurable Dynamics, Contemporary Mathematics, 26, 395-421.
    • (1984) Contemporary Mathematics , vol.26 , pp. 395-421
    • Weiss, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.