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Volumn 44, Issue 3, 2000, Pages 465-478

Dynamics of piecewise isometries

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EID: 0034259482     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1256060408     Document Type: Article
Times cited : (91)

References (33)
  • 2
    • 51249174870 scopus 로고
    • Cutting and stacking, interval exchanges and geometric models
    • Pierre Arnoux, Donald S. Ornstein, and Benjamin Weiss, Cutting and stacking, interval exchanges and geometric models, Israel J. Math. 50 (1985), 160-168.
    • (1985) Israel J. Math. , vol.50 , pp. 160-168
    • Arnoux, P.1    Ornstein, D.S.2    Weiss, B.3
  • 4
    • 0031279862 scopus 로고    scopus 로고
    • Lossless digital filter overflow oscillations; approximation of invariatn fractals
    • P. Ashwin, W. Chambers, and G. Petrov, Lossless digital filter overflow oscillations; approximation of invariatn fractals, Internat. J. Bifur. Chaos Appl. Sci. Engrg. 7 (1997), 2603-2610.
    • (1997) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.7 , pp. 2603-2610
    • Ashwin, P.1    Chambers, W.2    Petrov, G.3
  • 6
    • 84972546502 scopus 로고
    • A condition for minimal interval exchange maps to be uniquely ergodic
    • Michael Boshernitzan, A condition for minimal interval exchange maps to be uniquely ergodic. Duke Math. J. 52 (1985), 723-752.
    • (1985) Duke Math. J. , vol.52 , pp. 723-752
    • Boshernitzan, M.1
  • 8
    • 0025434913 scopus 로고
    • Chaos and fractals from third-order digital filters
    • L. O. Chua and T. Lin, Chaos and fractals from third-order digital filters. Internat. J. Circuit Theory Appl. 18(3) (1990), 241-255.
    • (1990) Internat. J. Circuit Theory Appl. , vol.18 , Issue.3 , pp. 241-255
    • Chua, L.O.1    Lin, T.2
  • 9
    • 0024029645 scopus 로고
    • Chaos in digital filters
    • _, Chaos in digital filters. IEEE Trans. Circuits and Systems 35(6) (1988), 648-658.
    • (1988) IEEE Trans. Circuits and Systems , vol.35 , Issue.6 , pp. 648-658
  • 11
    • 0002076187 scopus 로고
    • Two constructive sufficient conditions for aperiodicity of interval exchange
    • G. A. Galperin,Two constructive sufficient conditions for aperiodicity of interval exchange. Theoretical and Applied Problems of Optimization 176 (1985), 8-16.
    • (1985) Theoretical and Applied Problems of Optimization , vol.176 , pp. 8-16
    • Galperin, G.A.1
  • 12
    • 0033270121 scopus 로고    scopus 로고
    • Sofic subshifts and piecewise isometric systems
    • Arek Goetz, Sofic subshifts and piecewise isometric systems. Ergodic Theory Dynam. Systems, 19 (1999), 1485-1501.
    • (1999) Ergodic Theory Dynam. Systems , vol.19 , pp. 1485-1501
    • Goetz, A.1
  • 13
    • 0004147973 scopus 로고    scopus 로고
    • PhD thesis, University of Illinois at Chicago
    • _, Dynamics of piecewise isometries. PhD thesis, University of Illinois at Chicago, 1996.
    • (1996) Dynamics of Piecewise Isometries
  • 14
    • 0032363698 scopus 로고    scopus 로고
    • Dynamics of a piecewise rotation
    • _, Dynamics of a piecewise rotation. Continuous and Discrete Dynamical Systems 4(4) (1998), 593-608.
    • (1998) Continuous and Discrete Dynamical Systems , vol.4 , Issue.4 , pp. 593-608
  • 15
    • 0039401663 scopus 로고    scopus 로고
    • Perturbations of 8-attractors and births of satellite systems
    • _, Perturbations of 8-attractors and births of satellite systems. Internat. J. Bifur. Chaos 8 (1998), 1937-1956.
    • (1998) Internat. J. Bifur. Chaos , vol.8 , pp. 1937-1956
  • 16
    • 0030541868 scopus 로고    scopus 로고
    • Billiards in polygons: Survey of recent results
    • Eugene Gutkin, Billiards in polygons: survey of recent results. J. Stat. Phys. 83 (1996), 7-26.
    • (1996) J. Stat. Phys. , vol.83 , pp. 7-26
    • Gutkin, E.1
  • 17
    • 0000495028 scopus 로고    scopus 로고
    • Topological entropy of generalized polygon exchanges
    • Eugene Gutkin and Nicolai Haydn, Topological entropy of generalized polygon exchanges. Ergodic Theory Dynam. Systems 17 (1997), 89-867.
    • (1997) Ergodic Theory Dynam. Systems , vol.17 , pp. 89-867
    • Gutkin, E.1    Haydn, N.2
  • 18
    • 0000562576 scopus 로고
    • Dual polygonal billiards and necklace dynamics
    • Eugene Cutkin and Nándor Simányi, Dual polygonal billiards and necklace dynamics. Comm. Math. Phys. 143(3) (1992), 431-449.
    • (1992) Comm. Math. Phys. , vol.143 , Issue.3 , pp. 431-449
    • Cutkin, E.1    Simányi, N.2
  • 19
    • 0000396778 scopus 로고
    • Rectangle exchange transformations
    • Hans Haller, Rectangle exchange transformations. Monatsh. Math. 91(3) (1981), 215-232.
    • (1981) Monatsh. Math. , vol.91 , Issue.3 , pp. 215-232
    • Haller, H.1
  • 21
    • 51249180421 scopus 로고
    • Interval exchange transformations and some special flows are not mixing
    • Anatole Katok, Interval exchange transformations and some special flows are not mixing. Israel J. Math. 35(1980), 301-310.
    • (1980) Israel J. Math. , vol.35 , pp. 301-310
    • Katok, A.1
  • 22
    • 0001212617 scopus 로고
    • The growth rate for the number of singular and periodic orbits for a polygonal billiard
    • _, The growth rate for the number of singular and periodic orbits for a polygonal billiard. Commun. Math. Phys. 111 (1987), 151-160.
    • (1987) Commun. Math. Phys. , vol.111 , pp. 151-160
  • 23
    • 0002772850 scopus 로고
    • Interval exchange transformations
    • Michael Keane, Interval exchange transformations. Math. Z. 141 (1975), 25-31.
    • (1975) Math. Z. , vol.141 , pp. 25-31
    • Keane, M.1
  • 24
    • 0001737161 scopus 로고
    • La dynamique des pseudogroupes de rotations
    • Gilbert Levitt, La dynamique des pseudogroupes de rotations. Invent. Math. 113 (1993), 633-670.
    • (1993) Invent. Math. , vol.113 , pp. 633-670
    • Levitt, G.1
  • 25
    • 0000742775 scopus 로고
    • Interval exchange transformations and measured foliations
    • Howard Masur, Interval exchange transformations and measured foliations. Ann. Math. 115 (1982), 169-200.
    • (1982) Ann. Math. , vol.115 , pp. 169-200
    • Masur, H.1
  • 28
    • 0002079342 scopus 로고    scopus 로고
    • Topological entropy of generalized polygon exchanges
    • Charles Radin, Topological entropy of generalized polygon exchanges. NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 489 (1997), 237-258.
    • (1997) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. , vol.489 , pp. 237-258
    • Radin, C.1
  • 31
    • 51249180903 scopus 로고
    • Interval exchange transformations
    • William Veech, Interval exchange transformations. J. D'Analyse Math. 33 (1978), 222-272.
    • (1978) J. D'analyse Math. , vol.33 , pp. 222-272
    • Veech, W.1
  • 32
    • 0000742776 scopus 로고
    • Gauss measures for transformations on the space of interval exchange maps
    • _, Gauss measures for transformations on the space of interval exchange maps. Ann. of Math. 115 (1982), 201-242.
    • (1982) Ann. of Math. , vol.115 , pp. 201-242


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