메뉴 건너뛰기




Volumn 6, Issue 1, 2006, Pages 77-96

A Large Deviation Principle for the equilibrium states of Hölder potentials: The zero temperature case

Author keywords

Dual potential; Equilibrium state; Large Deviation Principle; Maximizing measure; Subaction; W kernel; Zero temperature

Indexed keywords


EID: 33746298070     PISSN: 02194937     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219493706001657     Document Type: Article
Times cited : (47)

References (27)
  • 1
    • 0037397395 scopus 로고    scopus 로고
    • Counting geodesics which are optimal in homology
    • N. Anantharaman, Counting geodesics which are optimal in homology, Erg. Th. Dyn. Syst. 23 (2003) 353-388.
    • (2003) Erg. Th. Dyn. Syst. , vol.23 , pp. 353-388
    • Anantharaman, N.1
  • 2
    • 2442509621 scopus 로고    scopus 로고
    • On the zero-temperature or vanishing viscosity limit for Markov processes arising from Lagrangian Dynamics
    • N. Anantharaman, On the zero-temperature or vanishing viscosity limit for Markov processes arising from Lagrangian Dynamics, J. Euro. Math. Soc. 6 (2004) 207-276.
    • (2004) J. Euro. Math. Soc. , vol.6 , pp. 207-276
    • Anantharaman, N.1
  • 3
    • 33746283869 scopus 로고
    • Quantum maps of geodesic flows on surfaces of constant negative curvature
    • in Tutzing May
    • E. Bogomolny and M. Carioli, Quantum maps of geodesic flows on surfaces of constant negative curvature, in IV Int. Conf. on Path Integrals from me V to Me V, Tutzing May (1992), pp. 18-21.
    • (1992) IV Int. Conf. on Path Integrals from Me V to Me V , pp. 18-21
    • Bogomolny, E.1    Carioli, M.2
  • 6
    • 85009367586 scopus 로고
    • Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
    • (Springer-Verlag)
    • R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Mathematics, Vol. 470 (Springer-Verlag, 1975).
    • (1975) Lecture Notes in Mathematics , vol.470
    • Bowen, R.1
  • 7
    • 0242276985 scopus 로고    scopus 로고
    • On the behaviour of Gibbs measures at temperature zero
    • J. Brémont, On the behaviour of Gibbs measures at temperature zero, Nonlinearity 16 (2003) 419-426.
    • (2003) Nonlinearity , vol.16 , pp. 419-426
    • Brémont, J.1
  • 8
    • 0040668576 scopus 로고
    • Entropy and ergodicity of skew-products over shifts of finite type and central limit asymptotics
    • Ph.D. Thesis, Warwick University
    • Z. N. Coelho, Entropy and ergodicity of skew-products over shifts of finite type and central limit asymptotics, Ph.D. Thesis, Warwick University (1990).
    • (1990)
    • Coelho, Z.N.1
  • 9
    • 21644468857 scopus 로고
    • Croissance des sommes ergodiques
    • unpublished preprint
    • J.-P. Conze and Y. Guivarc'h, Croissance des sommes ergodiques, unpublished preprint (1993).
    • (1993)
    • Conze, J.-P.1    Guivarc'h, Y.2
  • 10
    • 0040971816 scopus 로고    scopus 로고
    • Lyapunov minimizing measures for expanding maps of the circle
    • G. Contreras, A. O. Lopes and P. Thieullen, Lyapunov minimizing measures for expanding maps of the circle, Erg. Th. Dyn. Syst. 21 (2001) 1379-1409.
    • (2001) Erg. Th. Dyn. Syst. , vol.21 , pp. 1379-1409
    • Contreras, G.1    Lopes, A.O.2    Thieullen, P.3
  • 12
    • 4544385108 scopus 로고    scopus 로고
    • C*-algebras, approximately proper equivalence relations, and thermodynamic formalism
    • R. Exel and A. O. Lopes, C*-algebras, approximately proper equivalence relations, and thermodynamic formalism, Erg. Th. Dyn. Syst. 24 (2004) 1051-1082.
    • (2004) Erg. Th. Dyn. Syst. , vol.24 , pp. 1051-1082
    • Exel, R.1    Lopes, A.O.2
  • 13
    • 34250084304 scopus 로고
    • Regularity properites and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory
    • A. C. C. van Enter, R. Fernandez and A. D. Sokal, Regularity properites and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory, J. Stat. Phys. 72 (1993) 879-1187.
    • (1993) J. Stat. Phys. , vol.72 , pp. 879-1187
    • van Enter, A.C.C.1    Fernandez, R.2    Sokal, A.D.3
  • 15
    • 0347554475 scopus 로고
    • Gibbs functionals on subshifts
    • N. T. A. Haydn, Gibbs functionals on subshifts, Comm. Math. Phys. 134 (1990) 217-236.
    • (1990) Comm. Math. Phys. , vol.134 , pp. 217-236
    • Haydn, N.T.A.1
  • 16
    • 23044527390 scopus 로고    scopus 로고
    • Rotation, entropy, and equilibrium states
    • O. Jenkinson, Rotation, entropy, and equilibrium states, Trans. Amer. Math. Soc. 353 (2001) 3713-3739.
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 3713-3739
    • Jenkinson, O.1
  • 17
    • 33746278300 scopus 로고    scopus 로고
    • A dynamical proof for the convergence of Gibbs measures at temperature 0
    • preprint
    • R. Leplaideur, A dynamical proof for the convergence of Gibbs measures at temperature 0, preprint (2004).
    • (2004)
    • Leplaideur, R.1
  • 18
    • 84956111827 scopus 로고
    • Cohomology properties of dynamical systems
    • A. Livsic, Cohomology properties of dynamical systems, Math. USSR- Izv. 6 (1972) 1278-1301.
    • (1972) Math. USSR- Izv. , vol.6 , pp. 1278-1301
    • Livsic, A.1
  • 19
    • 0042257483 scopus 로고    scopus 로고
    • Subactions for Anosov diffeomorphisms
    • A. O. Lopes and P. Thieullen, Subactions for Anosov diffeomorphisms, Asterisque, 287 (2003) 135-146.
    • (2003) Asterisque , vol.287 , pp. 135-146
    • Lopes, A.O.1    Thieullen, P.2
  • 22
    • 0347906699 scopus 로고
    • Large deviations in ergodic theory
    • In eds. K. L. Chung, E. Cinlar and R. K. Getoor (Birkhauser)
    • S. Orey, Large deviations in ergodic theory, In Seminar on Stochastic Processes, Vol. 12, eds. K. L. Chung, E. Cinlar and R. K. Getoor (Birkhauser, 1985), pp. 195-249.
    • (1985) Seminar on Stochastic Processes , vol.12 , pp. 195-249
    • Orey, S.1
  • 23
    • 0000271607 scopus 로고
    • Zeta functions and the periodic orbit structure of hyperbolic dynamics
    • W. Parry and M. Pollicott, Zeta functions and the periodic orbit structure of hyperbolic dynamics, Asterisque 187-188 (1990) 1-268.
    • (1990) Asterisque , vol.187-188 , pp. 1-268
    • Parry, W.1    Pollicott, M.2
  • 24
    • 1542363537 scopus 로고    scopus 로고
    • Livsic theorems, maximizing measures and the stable norm
    • M. Pollicott and R. Sharp, Livsic theorems, maximizing measures and the stable norm, Dyn. Sys. 19 (2004) 75-88.
    • (2004) Dyn. Sys. , vol.19 , pp. 75-88
    • Pollicott, M.1    Sharp, R.2
  • 25
    • 0038895353 scopus 로고
    • A variational characterization of finite Markov chains
    • F. Spitzer, A variational characterization of finite Markov chains, Ann. Math. Statist. 43 (1972) 303-307.
    • (1972) Ann. Math. Statist. , vol.43 , pp. 303-307
    • Spitzer, F.1
  • 27
    • 0033163967 scopus 로고    scopus 로고
    • Optimal orbits of hyperbolic systems
    • G. Yuan and B. R. Hunt, Optimal orbits of hyperbolic systems, Nonlinearity 12 (1999) 1207-1224.
    • (1999) Nonlinearity , vol.12 , pp. 1207-1224
    • Yuan, G.1    Hunt, B.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.