메뉴 건너뛰기




Volumn 13, Issue 5, 2005, Pages 1203-1215

Fredholm determinants, anosov maps and ruelle resonances

Author keywords

Anosov systems; Dynamical determinants; Zeta functions

Indexed keywords


EID: 28444481352     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2005.13.1203     Document Type: Article
Times cited : (43)

References (26)
  • 1
    • 0003218287 scopus 로고    scopus 로고
    • Positive transfer operators and decay of correlations
    • World Scientific
    • V.Baladi, Positive transfer operators and decay of correlations, Advanced Series in Nonlinear Dynamics, 16, World Scientific (2000).
    • (2000) Advanced Series in Nonlinear Dynamics , vol.16
    • Baladi, V.1
  • 2
    • 28444446484 scopus 로고    scopus 로고
    • Dynamical zeta function and kneading operators
    • NDDS 2002, Kyoto
    • V.Baladi, Dynamical zeta function and kneading operators, lecture Notes, NDDS 2002, Kyoto (2002).
    • (2002) Lecture Notes
    • Baladi, V.1
  • 3
    • 35248869399 scopus 로고    scopus 로고
    • ∞ foliations
    • to appear Sergiy Kolyada, Yuri Manin, Tom Ward (eds). Contemporary Mathematics, Amer. Math. Society
    • ∞ foliations, to appear in Algebraic and Topological Dynamics, Sergiy Kolyada, Yuri Manin, Tom Ward (eds). Contemporary Mathematics, Amer. Math. Society, (2005).
    • (2005) Algebraic and Topological Dynamics
    • Baladi, V.1
  • 4
    • 85039353712 scopus 로고    scopus 로고
    • Kneading determinants and spectra of transfer operators in higher dimensions, the isotropic case
    • to appear
    • M.Baillif, V.Baladi, Kneading determinants and spectra of transfer operators in higher dimensions, the isotropic case, to appear Ergodic Theory Dynam. Systems.
    • Ergodic Theory Dynam. Systems.
    • Baillif, M.1    Baladi, V.2
  • 6
    • 0030543668 scopus 로고    scopus 로고
    • Sharp determinants
    • V.Baladi, D.Ruelle, Sharp determinants, Invent. Mat. 123 (1996), 553-574.
    • (1996) Invent. Mat. , vol.123 , pp. 553-574
    • Baladi, V.1    Ruelle, D.2
  • 7
    • 0141785217 scopus 로고    scopus 로고
    • Dynamical determinants via dynamical conjugacies for post-critically finite polynomials
    • Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays.
    • V.Baladi, Y.Jiang, H.H.Rugh, Dynamical determinants via dynamical conjugacies for post-critically finite polynomials. Dedicated to David Ruelle and Yasha Sinai on the occasion of their 65th birthdays. J. Statist. Phys. 108 (2002), no. 5-6, 973-993.
    • (2002) J. Statist. Phys. , vol.108 , Issue.5-6 , pp. 973-993
    • Baladi, V.1    Jiang, Y.2    Rugh, H.H.3
  • 8
    • 0041972697 scopus 로고    scopus 로고
    • Ruelle-perron-frobenius spectrum for Anosov maps
    • M.Blank, G. Keller, C. Liverani, Ruelle-Perron-Frobenius spectrum for Anosov maps, Nonlinearity, 15, n.6, pp. 1905-1973 (2002).
    • (2002) Nonlinearity , vol.15 , Issue.6 , pp. 1905-1973
    • Blank, M.1    Keller, G.2    Liverani, C.3
  • 9
    • 0035608682 scopus 로고    scopus 로고
    • Zeta functions and transfer operators for multidimensional piecewise affine and expanding maps
    • J.Buzzi, G. Keller, Zeta functions and transfer operators for multidimensional piecewise affine and expanding maps. Ergodic Theory Dynam. Systems 21 (2001), no. 3, 689-716.
    • (2001) Ergodic Theory Dynam. Systems , vol.21 , Issue.3 , pp. 689-716
    • Buzzi, J.1    Keller, G.2
  • 11
    • 0001407441 scopus 로고
    • The zeta function of Ruelle and Selberg i
    • D.Fried, The zeta function of Ruelle and Selberg I, Ann. SCi. Ecole Normale Sup. (4) 19, 491-517 (1986).
    • (1986) Ann. SCi. Ecole Normale Sup. (4) , vol.19 , pp. 491-517
    • Fried, D.1
  • 12
    • 84976040758 scopus 로고
    • The flat-trace asymptotics of a uniform system of contractions
    • D.Fried, The flat-trace asymptotics of a uniform system of contractions, Ergodic Theory and Dynamical Systems, 15, 1061-1073 (1995).
    • (1995) Ergodic Theory and Dynamical Systems , vol.15 , pp. 1061-1073
    • Fried, D.1
  • 13
    • 21844515655 scopus 로고
    • Meromorphic zeta functions for analytic flows
    • D.Fried, Meromorphic zeta functions for analytic flows, Communications in mathematical Pysics, 174, 161-190 (1995).
    • (1995) Communications in Mathematical Pysics , vol.174 , pp. 161-190
    • Fried, D.1
  • 14
    • 0035539908 scopus 로고    scopus 로고
    • Spectre de l'opérateur de transfer en dimension 1
    • S.Gouëzel, Spectre de l'opérateur de transfer en dimension 1, Manuscripta Math. 106 (2001), 365-403.
    • (2001) Manuscripta Math. , vol.106 , pp. 365-403
    • Gouëzel, S.1
  • 18
    • 0032623269 scopus 로고    scopus 로고
    • Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness
    • A.Yu.Kitaev, Fredholm determinants for hyperbolic diffeomorphisms of finite smoothness, Nonlinearity, 12 (1999), no. 1, 141-179.
    • (1999) Nonlinearity , vol.12 , Issue.1 , pp. 141-179
    • Kitaev, A.Yu.1
  • 19
    • 0040483470 scopus 로고    scopus 로고
    • Analytic continuation of a dynamical zeta function under a Diophantine condition
    • F.Naud, Analytic continuation of a dynamical zeta function under a Diophantine condition. Nonlinearity 14 (2001), no. 5, 995-1009.
    • (2001) Nonlinearity , vol.14 , Issue.5 , pp. 995-1009
    • Naud, F.1
  • 20
    • 33646978879 scopus 로고
    • Meormorphic extensions of generalized zeta functions
    • M.Pollicott, Meormorphic extensions of generalized zeta functions, Inventiones Matematicae, 85, 147-164 (1986.)
    • (1986) Inventiones Matematicae , vol.85 , pp. 147-164
    • Pollicott, M.1
  • 21
    • 1642358607 scopus 로고    scopus 로고
    • Dynamical zeta functions. Smooth ergodic theory and its applications
    • (Seattle, WA, 1999), Amer. Math. Soc., Providence, RI
    • M.Pollicott, Dynamical zeta functions. Smooth ergodic theory and its applications (Seattle, WA, 1999), 409-427, Proc. Sympos. Pure Math., 69, Amer. Math. Soc., Providence, RI, 2001.
    • (2001) Proc. Sympos. Pure Math. , vol.69 , pp. 409-427
    • Pollicott, M.1
  • 22
    • 0242371157 scopus 로고    scopus 로고
    • Stability of mixing rates for Axiom A attractors
    • M.Pollicott.Stability of mixing rates for Axiom A attractors, Nonlinearity, 16 (2003) 567-578.
    • (2003) Nonlinearity , vol.16 , pp. 567-578
    • Pollicott, M.1
  • 23
    • 0001085798 scopus 로고
    • Zeta functions for expanding maps and Anosov flows
    • D.Ruelle, Zeta functions for expanding maps and Anosov flows, Inventiones Mathematicae, 34, 231-242 (1976).
    • (1976) Inventiones Mathematicae , vol.34 , pp. 231-242
    • Ruelle, D.1
  • 24
    • 51649157555 scopus 로고
    • An extension of the theory fredholm determinants
    • D.Ruelle, An extension of the theory fredholm determinants, 1st. Haute Etudes Sci. Publ. Math. 72, 175-193 (1990).
    • (1990) 1st. Haute Etudes Sci. Publ. Math. , vol.72 , pp. 175-193
    • Ruelle, D.1
  • 25
    • 1342342466 scopus 로고    scopus 로고
    • Dynamical zeta functions and transfer operators
    • D.Ruelle, Dynamical zeta functions and transfer operators. Notices Amer. Math. Soc. 49 (2002), no. 8, 887-895.
    • (2002) Notices Amer. Math. Soc. , vol.49 , Issue.8 , pp. 887-895
    • Ruelle, D.1
  • 26
    • 0039460039 scopus 로고    scopus 로고
    • Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems
    • H.H.Rugh, Generalized Fredholm determinants and Selberg zeta functions for Axiom A dynamical systems, Ergodic Theory and Dynamical Systems, 16, 805-819 (1996).
    • (1996) Ergodic Theory and Dynamical Systems , vol.16 , pp. 805-819
    • Rugh, H.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.