메뉴 건너뛰기




Volumn 111, Issue 5-6, 2003, Pages 1245-1272

Projection of Markov Measures May Be Gibbsian

Author keywords

Coding; Gibbs measures; Markov chains; Projective metrics; Thermodynamic formalism

Indexed keywords


EID: 0037259305     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023056317067     Document Type: Article
Times cited : (37)

References (25)
  • 1
    • 0000073583 scopus 로고
    • Some systems with unique equilibrium states
    • R. Bowen, Some systems with unique equilibrium states, Math. Systems Theory 8:193-202 (1974/75).
    • (1974) Math. Systems Theory , vol.8 , pp. 193-202
    • Bowen, R.1
  • 3
    • 0001548640 scopus 로고
    • Infinite-to-one codes and Markov measures
    • M. Boyle and S. Tuncel, Infinite-to-one codes and Markov measures, Trans. Amer. Math. Soc. 285:657-684 (1986).
    • (1986) Trans. Amer. Math. Soc. , vol.285 , pp. 657-684
    • Boyle, M.1    Tuncel, S.2
  • 4
    • 0031999110 scopus 로고    scopus 로고
    • Relative entropy and identification of Gibbs measures in dynamical systems
    • J.-R. Chazottes, E. Floriani, and R. Lima, Relative entropy and identification of Gibbs measures in dynamical systems, J. Statist. Phys. 90:697-725 (1998).
    • (1998) J. Statist. Phys. , vol.90 , pp. 697-725
    • Chazottes, J.-R.1    Floriani, E.2    Lima, R.3
  • 5
    • 34250084304 scopus 로고
    • Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory
    • A. C. D. van Enter, R. Fernández, and A. D. Sokal, Regularity properties and pathologies of position-space renormalization-group transformations: Scope and limitations of Gibbsian theory, J. Statist. Phys. 72:879-1167 (1993).
    • (1993) J. Statist. Phys. , vol.72 , pp. 879-1167
    • Van Enter, A.C.D.1    Fernández, R.2    Sokal, A.D.3
  • 7
    • 0007042778 scopus 로고    scopus 로고
    • R. Fernández, Measures for Lattice Systems, STATPHYS 20 (Paris, 1998), Phys. A 263:117-130 (1999).
    • (1999) Phys. A , vol.263 , pp. 117-130
  • 8
    • 0024680430 scopus 로고
    • Rational probability measures
    • G. Hansel and D. Perrin, Rational probability measures, Theoret. Comput. Sci. 65:171-188 (1989).
    • (1989) Theoret. Comput. Sci. , vol.65 , pp. 171-188
    • Hansel, G.1    Perrin, D.2
  • 9
    • 84972535307 scopus 로고
    • On chains of infinite order
    • T. E. Harris, On chains of infinite order, Pacific J. Math. 5:707-24 (1955).
    • (1955) Pacific J. Math. , vol.5 , pp. 707-724
    • Harris, T.E.1
  • 12
    • 0040314815 scopus 로고
    • Finitary measures for subshifts of finite type and sofic systems
    • B. Kitchens and S. Tuncel, Finitary measures for subshifts of finite type and sofic systems, Mem. Amer. Math. Soc. 58 (1985).
    • (1985) Mem. Amer. Math. Soc. , vol.58
    • Kitchens, B.1    Tuncel, S.2
  • 16
    • 21844498492 scopus 로고
    • The fuzzy Potts model
    • C. Maes and K. van de Velde, The fuzzy Potts model, J. Phys. A 28:4261-4270 (1995).
    • (1995) J. Phys. A , vol.28 , pp. 4261-4270
    • Maes, C.1    Van de Velde, K.2
  • 17
  • 18
    • 0001034602 scopus 로고
    • Large sets of endomorphisms and of g-measures
    • M. R. Palmer, W. Parry, and P. Walters, large sets of endomorphisms and of g-measures, Lecture Notes in Math. 668:191-210 (1977).
    • (1977) Lecture Notes in Math. , vol.668 , pp. 191-210
    • Palmer, M.R.1    Parry, W.2    Walters, P.3
  • 19
    • 0000271607 scopus 로고
    • Zeta functions and the periodic orbit structure of hyperbolic dynamics
    • SMF
    • W. Parry and M. Pollicott, Zeta functions and the periodic orbit structure of hyperbolic dynamics, Astérisque 187-188, SMF, 1990.
    • (1990) Astérisque , vol.187-188
    • Parry, W.1    Pollicott, M.2
  • 20
    • 0000009468 scopus 로고
    • Recent advances in speech understanding and dialog systems (Bad Windsheim)
    • L. R. Rabiner, Mathematical Foundations of Hidden Markov Models, Recent advances in speech understanding and dialog systems (Bad Windsheim, 1987), pp. 183-205; NATO Adv. Sci. Inst. Ser. F Comput. Systems Sci., Vol. 46 (Springer, Berlin, 1988).
    • (1987) Mathematical Foundations of Hidden Markov Models , pp. 183-205
    • Rabiner, L.R.1
  • 21
    • 85204050444 scopus 로고
    • Springer, Berlin
    • L. R. Rabiner, Mathematical Foundations of Hidden Markov Models, Recent advances in speech understanding and dialog systems (Bad Windsheim, 1987), pp. 183-205; NATO Adv. Sci. Inst. Ser. F Comput. Systems Sci., Vol. 46 (Springer, Berlin, 1988).
    • (1988) NATO Adv. Sci. Inst. Ser. F Comput. Systems Sci. , vol.46
  • 23
    • 0035628535 scopus 로고    scopus 로고
    • Measures that maximize weighted entropy for factor maps between subshifts of finite type
    • An example of a factor map without a saturated compensation function, preprint
    • S. Shin, Measures that maximize weighted entropy for factor maps between subshifts of finite type, Ergodic Theory Dynam. Systems 21:1249-1272 (2001); An example of a factor map without a saturated compensation function, preprint.
    • (2001) Ergodic Theory Dynam. Systems , vol.21 , pp. 1249-1272
    • Shin, S.1
  • 24
    • 84968465437 scopus 로고
    • Relative pressure, relative equilibrium states, compensation functions and many-to-one codes between subshifts
    • P. Walters, Relative pressure, relative equilibrium states, compensation functions and many-to-one codes between subshifts, Trans. Amer. Math. Soc. 296:1-31 (1986).
    • (1986) Trans. Amer. Math. Soc. , vol.296 , pp. 1-31
    • Walters, P.1
  • 25
    • 0034395014 scopus 로고    scopus 로고
    • Weak Gibbs measures for certain non-hyperbolic systems
    • M. Yuri, Weak Gibbs measures for certain non-hyperbolic systems, Ergodic Theory Dynam. Systems 20:1495-1518 (2000).
    • (2000) Ergodic Theory Dynam. Systems , vol.20 , pp. 1495-1518
    • Yuri, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.