메뉴 건너뛰기




Volumn 11, Issue 4, 2011, Pages 2265-2296

The entropy efficiency of point-push mapping classes on the punctured disk

Author keywords

[No Author keywords available]

Indexed keywords


EID: 80053007769     PISSN: 14722747     EISSN: 14722739     Source Type: Journal    
DOI: 10.2140/agt.2011.11.2265     Document Type: Article
Times cited : (3)

References (29)
  • 1
    • 54749120527 scopus 로고    scopus 로고
    • The Burau estimate for the entropy of a braid
    • MR2350285
    • G Band, P Boyland, The Burau estimate for the entropy of a braid, Algebr. Geom. Topol. 7 (2007) 1345-1378 MR2350285
    • (2007) Algebr. Geom. Topol , vol.7 , pp. 1345-1378
    • Band, P.1    Boyland, G.2
  • 2
    • 0001354876 scopus 로고
    • Train-tracks for surface homeomorphisms
    • MR1308491
    • M Bestvina, M Handel, Train-tracks for surface homeomorphisms, Topology 34 (1995) 109-140 MR1308491
    • (1995) Topology , vol.34 , pp. 109-140
    • Bestvina, M.1    Handel, M.2
  • 3
    • 77955576912 scopus 로고    scopus 로고
    • Ghost rods adopting the role of withdrawn baffles in batch mixer designs
    • B J Binder, Ghost rods adopting the role of withdrawn baffles in batch mixer designs, Phys. Letters A 374 (2010) 3483-3486
    • (2010) Phys. Letters A , vol.374 , pp. 3483-3486
    • Binder, B.J.1
  • 4
    • 0003316111 scopus 로고
    • Braids, links, and mapping class groups
    • Princeton Univ. Press, MR0375281
    • J S Birman, Braids, links, and mapping class groups, Annals of Math. Studies 82, Princeton Univ. Press (1974) MR0375281
    • (1974) Annals of Math. Studies , vol.82
    • Birman, J.S.1
  • 5
    • 0037955131 scopus 로고    scopus 로고
    • Isotopy stability of dynamics on surfaces, from: Geometry and topology in dynamics
    • (Winston-Salem, NC, 1998/San Antonio, TX, 1999), (M Barge, K Kuperberg, editors, Amer. Math. Soc, MR1732369
    • P Boyland, Isotopy stability of dynamics on surfaces, from: Geometry and topology in dynamics (Winston-Salem, NC, 1998/San Antonio, TX, 1999), (M Barge, K Kuperberg, editors), Contemp. Math. 246, Amer. Math. Soc. (1999) 17-45 MR1732369
    • (1999) Contemp. Math , vol.246 , pp. 17-45
    • Boyland, P.1
  • 6
    • 23844516823 scopus 로고    scopus 로고
    • Dynamics of two-dimensional time-periodic Euler fluid flows
    • MR2160808
    • P Boyland, Dynamics of two-dimensional time-periodic Euler fluid flows, Topology Appl. 152 (2005) 87-106 MR2160808
    • (2005) Topology Appl , vol.152 , pp. 87-106
    • Boyland, P.1
  • 7
    • 0033946678 scopus 로고    scopus 로고
    • Topological fluid mechanics of stirring
    • MR1742169
    • P Boyland, H Aref, MA Stremler, Topological fluid mechanics of stirring, J. Fluid Mech. 403 (2000) 277-304 MR1742169
    • (2000) J. Fluid Mech , vol.403 , pp. 277-304
    • Boyland, P.1    Aref, H.2    Stremler, M.A.3
  • 8
    • 0003196585 scopus 로고
    • Automorphisms of surfaces after Nielsen and Thurston
    • Cambridge Univ. Press, MR964685
    • AJ Casson, SA Bleiler, Automorphisms of surfaces after Nielsen and Thurston, London Math. Soc. Student Texts 9, Cambridge Univ. Press (1988) MR964685
    • (1988) London Math. Soc. Student Texts , vol.9
    • Casson, A.J.1    Bleiler, S.A.2
  • 11
    • 84884000541 scopus 로고    scopus 로고
    • A primer on mapping class groups
    • Princeton Univ. Press
    • B Farb, D Margalit, A primer on mapping class groups, Princeton Math. Ser. 49, Princeton Univ. Press (2011)
    • (2011) Princeton Math. Ser , vol.49
    • Farb, B.1    Margalit, D.2
  • 12
    • 0002304365 scopus 로고
    • Travaux de Thurston sur les surfaces
    • editors, Soc. Math. France, Paris, MR568308 Séminaire Orsay, In
    • A Fathi, F Laudenbach, V Poénaru, editors, Travaux de Thurston sur les surfaces, Astérisque 66-67, Soc. Math. France, Paris (1979) MR568308 Séminaire Orsay, In
    • (1979) Astérisque , pp. 66-67
    • Fathi, A.1    Laudenbach, F.2    Poénaru, V.3
  • 13
    • 1342328975 scopus 로고    scopus 로고
    • Mixing measures for a two-dimensional chaotic Stokes flow
    • MR2033473
    • MD Finn, SM Cox, HM Byrne, Mixing measures for a two-dimensional chaotic Stokes flow, J. Engrg. Math. 48 (2004) 129-155 MR2033473
    • (2004) J. Engrg. Math , vol.48 , pp. 129-155
    • Finn, M.D.1    Cox, S.M.2    Byrne, H.M.3
  • 15
    • 0001649547 scopus 로고
    • Rio de Janeiro, 1981), (J Pallis, editor), Lecture Notes in Math. 1007, Springer, Berlin, MR730272
    • D Fried, Periodic points and twisted coefficients, from: Geometric dynamics (Rio de Janeiro, 1981), (J Pallis, editor), Lecture Notes in Math. 1007, Springer, Berlin (1983) 261-293 MR730272
    • (1983) Periodic Points and Twisted Coefficients, From: Geometric Dynamics , pp. 261-293
    • Fried, D.1
  • 16
    • 38249042971 scopus 로고
    • Entropy and twisted cohomology
    • MR862432
    • D Fried, Entropy and twisted cohomology, Topology 25 (1986) 455-470 MR862432
    • (1986) Topology , vol.25 , pp. 455-470
    • Fried, D.1
  • 19
    • 0001173010 scopus 로고
    • Global shadowing of pseudo-Anosov homeomorphisms
    • MR805836
    • M Handel, Global shadowing of pseudo-Anosov homeomorphisms, Ergodic Theory Dynam. Systems 5 (1985) 373-377 MR805836
    • (1985) Ergodic Theory Dynam. Systems , vol.5 , pp. 373-377
    • Handel, M.1
  • 20
    • 46649092008 scopus 로고    scopus 로고
    • Family of pseudo-Anosov braids with small dilatation
    • MR2240913
    • E Hironaka, E Kin, A family of pseudo-Anosov braids with small dilatation, Algebr. Geom. Topol. 6 (2006) 699-738 MR2240913
    • (2006) Algebr. Geom Topol , vol.6 , pp. 699-738
    • Hironaka, E.1    Kin, A.2
  • 21
    • 68349091922 scopus 로고    scopus 로고
    • The joint spectral radius: Theory and applications
    • Springer, Berlin, MR2507938
    • R Jungers, The joint spectral radius: Theory and applications, Lecture Notes in Control and Information Sci. 385, Springer, Berlin (2009) MR2507938
    • (2009) Lecture Notes in Control and Information Sci , vol.385
    • Jungers, R.1
  • 22
    • 70350142924 scopus 로고    scopus 로고
    • A design for pseudo-Anosov braids using hypotrochoid curves
    • MR2556106
    • T Kobayashi, S Umeda, A design for pseudo-Anosov braids using hypotrochoid curves, Topology Appl. 157 (2010) 280-289 MR2556106
    • (2010) Topology Appl , vol.157 , pp. 280-289
    • Kobayashi, T.1    Umeda, S.2
  • 23
    • 0000440852 scopus 로고
    • On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces
    • MR611385
    • I Kra, On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces, Acta Math. 146 (1981) 231-270 MR611385
    • (1981) Acta Math , vol.146 , pp. 231-270
    • Kra, I.1
  • 25
    • 0039264941 scopus 로고
    • Topological entropy and the first homology group
    • from: Dynamical systems-Warwick 1974 (Proc. Sympos. Appl. Topology and Dynamical Systems, Univ. Warwick, Coventry, 1973/1974; presented to EC Zeeman on his fiftieth birthday), (A Manning, editor), Springer, Berlin, MR0650661
    • A Manning, Topological entropy and the first homology group, from: Dynamical systems-Warwick 1974 (Proc. Sympos. Appl. Topology and Dynamical Systems, Univ. Warwick, Coventry, 1973/1974; presented to EC Zeeman on his fiftieth birthday), (A Manning, editor), Lecture Notes in Math. 468, Springer, Berlin (1975) 185-190 MR0650661
    • (1975) Lecture Notes in Math , vol.468 , pp. 185-190
    • Manning, A.1
  • 26
    • 62049084644 scopus 로고    scopus 로고
    • On computing the entropy of braids
    • MR2381961
    • J-O Moussafir, On computing the entropy of braids, Funct. Anal. Other Math. 1 (2006) 37-46 MR2381961
    • (2006) Funct. Anal. Other Math , vol.1 , pp. 37-46
    • Moussafir, J.-O.1
  • 27
    • 0003362027 scopus 로고
    • Combinatorics of train tracks
    • Princeton Univ. Press, MR1144770
    • RC Penner, J L Harer, Combinatorics of train tracks, Annals of Math. Studies 125, Princeton Univ. Press (1992) MR1144770
    • (1992) Annals of Math. Studies , vol.125
    • Penner, R.C.1    Harer, J.L.2
  • 29
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphisms of surfaces
    • MR956596
    • WP Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.) 19 (1988) 417-431 MR956596
    • (1988) Bull. Amer. Math. Soc. (N.S.) , vol.19 , pp. 417-431
    • Thurston, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.