메뉴 건너뛰기




Volumn 22, Issue 2, 1990, Pages 285-293

Differentiability of entropy for Anosov and geodesic flows

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84967708618     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-1990-15889-6     Document Type: Note
Times cited : (14)

References (25)
  • 1
    • 0002564801 scopus 로고
    • Geodesic flows on closed Riemannian manifolds with negative curvature
    • D. Anosov, Geodesic flows on closed Riemannian manifolds with negative curvature, Proc. Steklov Inst. Math. 90 (1967), 235
    • (1967) Proc. Steklov Inst. Math , vol.90 , pp. 235
    • Anosov, D.1
  • 2
    • 0000058449 scopus 로고
    • Symbolic dynamics for hyperbolic flows
    • R. Bowen, Symbolic dynamics for hyperbolic flows, Amer. J. Math. 95 (1972), 429–459
    • (1972) Amer. J. Math , vol.95 , pp. 429-459
    • Bowen, R.1
  • 3
    • 0002729084 scopus 로고
    • Periodic orbits for hyperbolic flows
    • ——, Periodic orbits for hyperbolic flows, Amer. J. Math. 94 (1972), 1–30
    • (1972) Amer. J. Math , vol.94 , pp. 1-30
    • Bowen, R.1
  • 4
    • 0000044573 scopus 로고
    • Stable manifolds and hyperbolic sets
    • M. Hirsch and C. Pugh, Stable manifolds and hyperbolic sets, Proc. Sympos. Pure Math. XIV (1968), 133–165
    • (1968) Proc. Sympos. Pure Math , vol.14 , pp. 133-165
    • Hirsch, M.1    Pugh, C.2
  • 5
    • 84972541932 scopus 로고
    • Smoothness of horocycle foliations
    • ——, Smoothness of horocycle foliations, J. Differential Geom. 10 (1975), 225–238
    • (1975) J. Differential Geom , vol.10 , pp. 225-238
    • Hirsch, M.1    Pugh, C.2
  • 6
    • 51649161951 scopus 로고
    • Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
    • A. Katok, Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, Publ. Math. Inst. Hautes Études Sci 51 (1980), 137–173
    • (1980) Publ. Math. Inst. Hautes Études Sci , vol.51 , pp. 137-173
    • Katok, A.1
  • 7
    • 0040395002 scopus 로고
    • Four applications of conformal equivalence to geometry and dynamics
    • ——, Four applications of conformal equivalence to geometry and dynamics, Ergodic Theory Dynamical Systems Conley Memorial Issue 8* (1988), 139–152
    • (1988) Ergodic Theory Dynamical Systems Conley Memorial Issue , vol.8 , pp. 139-152
    • Katok, A.1
  • 8
    • 0008987439 scopus 로고
    • Nonuniform hyperbolicity and structure of smooth dynamical systems
    • Warszawa
    • ——, Nonuniform hyperbolicity and structure of smooth dynamical systems, Proc. of International Congress of Mathematicians 1983, Warszawa, 2, pp. 1245–1254
    • (1983) Proc. of International Congress of Mathematicians , Issue.2 , pp. 1245-1254
    • Katok, A.1
  • 9
    • 0001882824 scopus 로고
    • Differentiability and analyticity of topological entropy for Anosov and geodesic flows
    • A. Katok, G. Knieper, M. Pollicott, and H. Weiss, Differentiability and analyticity of topological entropy for Anosov and geodesic flows, Invent. Math., 98 (1989), 581–597
    • (1989) Invent. Math , vol.98 , pp. 581-597
    • Katok, A.1    Knieper, G.2    Pollicott, M.3    Weiss, H.4
  • 12
    • 0038862475 scopus 로고
    • Differentiability of measure theoretic entropy: I
    • G. Knieper and H. Weiss Differentiability of measure theoretic entropy: I, Invent. Math. 95 (1989), 579–589
    • (1989) Invent. Math , vol.95 , pp. 579-589
    • Knieper, G.1    Weiss, H.2
  • 14
    • 0001472050 scopus 로고
    • Topological entropy for geodesic flows
    • A. Manning, Topological entropy for geodesic flows, Ann. of Math. 110 (1979), 567–573
    • (1979) Ann. of Math , vol.110 , pp. 567-573
    • Manning, A.1
  • 15
    • 0040612396 scopus 로고
    • Applications of ergodic theory to the investigation of manifolds of negative curvature
    • G. Margulis, Applications of ergodic theory to the investigation of manifolds of negative curvature, Functional Anal. Appl. 3 (1969), 335–336
    • (1969) Functional Anal. Appl , vol.3 , pp. 335-336
    • Margulis, G.1
  • 19
    • 0000496951 scopus 로고
    • An analogue of the prime number theorem for closed orbits of Axiom A flows
    • W. Parry and M. Pollicott, An analogue of the prime number theorem for closed orbits of Axiom A flows, Ann. of Math. 118 (1983), 573–592
    • (1983) Ann. of Math , vol.118 , pp. 573-592
    • Parry, W.1    Pollicott, M.2
  • 20
    • 84961291543 scopus 로고
    • Characteristic Lyapunov exponents and smooth ergodic theory
    • Y. Pesin, Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math. Surveys 32 (4), (1977), 55–114
    • (1977) Russian Math. Surveys , vol.32 , Issue.4 , pp. 55-114
    • Pesin, Y.1
  • 21
    • 33646978879 scopus 로고
    • Meromorphic extensions of generalized zeta functions
    • M. Pollicott, Meromorphic extensions of generalized zeta functions, Invent. Math. 85 (1986), 147–164
    • (1986) Invent. Math , vol.85 , pp. 147-164
    • Pollicott, M.1
  • 24
    • 0039130643 scopus 로고
    • On weak isomorphism of transformations with invariant measures
    • J. Sinai, On weak isomorphism of transformations with invariant measures, Math. USSR Sb. 63 1, (1964), 23–42
    • (1964) Math. USSR Sb , vol.63 , Issue.1 , pp. 23-42
    • Sinai, J.1
  • 25
    • 51649149112 scopus 로고
    • Volume growth and entropy
    • Y. Yomdin, Volume growth and entropy, Israel J. Math. 57 (1987), 285–300
    • (1987) Israel J. Math , vol.57 , pp. 285-300
    • Yomdin, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.