메뉴 건너뛰기




Volumn 16, Issue 2, 2003, Pages 661-682

Billingsley dimension on shift spaces

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0242339768     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/16/2/317     Document Type: Article
Times cited : (18)

References (29)
  • 2
    • 84972531334 scopus 로고
    • Hausdorff dimension in probability theory
    • [B1]
    • [B1] Billingsley P 1960 Hausdorff dimension in probability theory Ill. J. Mat. 4 187-209
    • (1960) Ill. J. Mat. , vol.4 , pp. 187-209
    • Billingsley, P.1
  • 3
    • 84972507743 scopus 로고
    • Hausdorff dimension in probability theory
    • [B2]
    • [B2] Billingsley P 1961 Hausdorff dimension in probability theory Ill. J. Mat. 5 291-8
    • (1961) Ill. J. Mat. , vol.5 , pp. 291-298
    • Billingsley, P.1
  • 6
    • 84963053675 scopus 로고
    • The construction of decimal normal in the scale often
    • [Ch]
    • [Ch] Champernowne D G 1933 The construction of decimal normal in the scale often J. Lond. Math. Soc. 8 254-60
    • (1933) J. Lond. Math. Soc. , vol.8 , pp. 254-260
    • Champernowne, D.G.1
  • 7
    • 0033632367 scopus 로고    scopus 로고
    • Dimensions and waiting times for Gibbs measures
    • [Cha]
    • [Cha] Chazottes J-R 2000 Dimensions and waiting times for Gibbs measures J. Stat. Phys. 98 305-20
    • (2000) J. Stat. Phys. , vol.98 , pp. 305-320
    • Chazottes, J.-R.1
  • 8
    • 0039028872 scopus 로고    scopus 로고
    • Relative entropy, dimensions and large deviations for g-measures
    • [ChaO]
    • [ChaO] Chazottes J-R and Olivier E 2000 Relative entropy, dimensions and large deviations for g-measures J. Phys. A: Math. Gen. 33 675-89
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 675-689
    • Chazottes, J.-R.1    Olivier, E.2
  • 9
    • 0001502805 scopus 로고
    • The Hausdorff dimension of certain sets of nonnormal numbers
    • [Co]
    • [Co] Colebrook C M 1970 The Hausdorff dimension of certain sets of nonnormal numbers Michigan Math. J. 17 103-16
    • (1970) Michigan Math. J. , vol.17 , pp. 103-116
    • Colebrook, C.M.1
  • 13
    • 0002672692 scopus 로고
    • The fractional dimension of a set defined by decimal properties
    • [Eg]
    • [Eg] Eggleston H G 1949 The fractional dimension of a set defined by decimal properties Q. J. Math. Oxford 20 31-6
    • (1949) Q. J. Math. Oxford , vol.20 , pp. 31-36
    • Eggleston, H.G.1
  • 14
    • 0000582519 scopus 로고
    • Sofic systems and graphs
    • [F1]
    • [F1] Fisher R 1975 Sofic systems and graphs Mh. Math. 80 179-86
    • (1975) Mh. Math. , vol.80 , pp. 179-186
    • Fisher, R.1
  • 15
    • 0242343559 scopus 로고
    • Graphs and symbolic dynamics
    • [F2]
    • [F2] Fisher R 1975 Graphs and symbolic dynamics Coll. Math. Soc. J. Bolyai 16 229-44
    • (1975) Coll. Math. Soc. J. Bolyai , vol.16 , pp. 229-244
    • Fisher, R.1
  • 17
    • 0345749288 scopus 로고
    • Sur certaines démonstrations d'existence
    • [L]
    • [L] Lebesgue M H 1917 Sur certaines démonstrations d'existence Bull. Soc. Math. France 45 182-44
    • (1917) Bull. Soc. Math. France , vol.45 , pp. 182-44
    • Lebesgue, M.H.1
  • 19
    • 0031276568 scopus 로고    scopus 로고
    • Reconstruction sequences and equipartition measures: An examination of the asymptotic equipartition property
    • [LPRS]
    • [LPRS] Lewis J T, Pfister C-E, Russel R and Sullivan W G 1997 Reconstruction sequences and equipartition measures: an examination of the asymptotic equipartition property IEEE Information Theory 43 1935-47
    • (1997) IEEE Information Theory , vol.43 , pp. 1935-1947
    • Lewis, J.T.1    Pfister, C.-E.2    Russel, R.3    Sullivan, W.G.4
  • 21
    • 0038403488 scopus 로고
    • A note on periodic points for ergodic toral automorphisms
    • [M]
    • [M] Marcus B 1980 A note on periodic points for ergodic toral automorphisms Mh. Math. 89 121-9
    • (1980) Mh. Math. , vol.89 , pp. 121-129
    • Marcus, B.1
  • 22
    • 0032622466 scopus 로고    scopus 로고
    • Dimension de Billingsley d'ensembles saturés
    • [O1]
    • [O1] Olivier E 1999 Dimension de Billingsley d'ensembles saturés C. R. Acad. Sci. Paris 328 13-16
    • (1999) C. R. Acad. Sci. Paris , vol.328 , pp. 13-16
    • Olivier, E.1
  • 23
    • 0033229030 scopus 로고    scopus 로고
    • Multifractal analysis in symbolic dynamics and distribution of pointwise dimension for g-measures
    • [O2]
    • [O2] Olivier E 1999 Multifractal analysis in symbolic dynamics and distribution of pointwise dimension for g-measures Nonlinearity 12 1571-85
    • (1999) Nonlinearity , vol.12 , pp. 1571-1585
    • Olivier, E.1
  • 25
    • 22844454901 scopus 로고    scopus 로고
    • The role of Billingsley dimensions in computing fractal dimensions on Cantor-like spaces
    • [R]
    • [R] Rey J-M 2000 The role of Billingsley dimensions in computing fractal dimensions on Cantor-like spaces Proc. AMS 128 561-72
    • (2000) Proc. AMS , vol.128 , pp. 561-572
    • Rey, J.-M.1
  • 26
    • 0033622290 scopus 로고    scopus 로고
    • Dimension of random fractals in metric spaces
    • [T1]
    • [T1] Tempelman A A 1999 Dimension of random fractals in metric spaces Teor. Veroyatnost. Primenen. 44 589-616 (transl. Tempelman A A 2000 Theory Probab. Appl. 44 537-57)
    • (1999) Teor. Veroyatnost. Primenen. , vol.44 , pp. 589-616
    • Tempelman, A.A.1
  • 27
    • 0033622290 scopus 로고    scopus 로고
    • transl.
    • [T1] Tempelman A A 1999 Dimension of random fractals in metric spaces Teor. Veroyatnost. Primenen. 44 589-616 (transl. Tempelman A A 2000 Theory Probab. Appl. 44 537-57)
    • (2000) Theory Probab. Appl. , vol.44 , pp. 537-557
    • Tempelman, A.A.1
  • 28
    • 0035497207 scopus 로고    scopus 로고
    • Multifractal analysis of ergodic averages: A generalization of Eggleston's theorem
    • [T2]
    • [T2] Tempelman A A 2001 Multifractal analysis of ergodic averages: a generalization of Eggleston's theorem J. Dynam. Control Systems 7 535-51
    • (2001) J. Dynam. Control Systems , vol.7 , pp. 535-551
    • Tempelman, A.A.1
  • 29
    • 0242343553 scopus 로고
    • Über den Dimensionsbegriff in Wahrsheinlichkeitsräumen von P Billingsley I and II
    • [W]
    • [W] Wegmann H 1968 Über den Dimensionsbegriff in Wahrsheinlichkeitsräumen von P Billingsley I and II Z. Wahrscheinlichkeitstheorie Geb. 9 216-21, 222-31
    • (1968) Z. Wahrscheinlichkeitstheorie Geb. , vol.9 , pp. 216-221
    • Wegmann, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.