메뉴 건너뛰기




Volumn 11, Issue 3, 2000, Pages 359-378

On discrete stochastic processes generated by deterministic sequences and multiplication machines

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034369920     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(00)80004-X     Document Type: Article
Times cited : (4)

References (26)
  • 4
    • 84963053675 scopus 로고
    • The construction of decimals normal in the scale of 0,1
    • [Cha] Champernowne, D.G. - The construction of decimals normal in the scale of 0,1. J. London Math. Soc. 8, 254-260 (1933).
    • (1933) J. London Math. Soc. , vol.8 , pp. 254-260
    • Champernowne, D.G.1
  • 5
    • 21844518367 scopus 로고
    • Absolutely continuous invariant measures for a class of affine interval exchange maps
    • [CLR] Coelho, Z., A. Lopes and L.F. da Rocha - Absolutely continuous invariant measures for a class of affine interval exchange maps. Proc. AMS 123, 3533-3542 (1995).
    • (1995) Proc. Ams , vol.123 , pp. 3533-3542
    • Coelho, Z.1    Lopes, A.2    Da Rocha, L.F.3
  • 6
    • 84971871531 scopus 로고
    • Normal numbers from independent processes
    • [FS] Feldman, J. and M. Smorodinsky - Normal numbers from independent processes. Erg. Th. and Dyn. Sys. 12, 707-712 (1992).
    • (1992) Erg. Th. and Dyn. Sys. , vol.12 , pp. 707-712
    • Feldman, J.1    Smorodinsky, M.2
  • 7
    • 0001372710 scopus 로고
    • Über eine allgemeine Eigenschaft von Zahlsystemen, (russ.)
    • [Gel] Gelfond, A.O. - Über eine allgemeine Eigenschaft von Zahlsystemen, (russ.). Izvest. Akad. Nauk SSSR, Ser. mat. 23, 809-814 (1959).
    • (1959) Izvest. Akad. Nauk SSSR, Ser. Mat. , vol.23 , pp. 809-814
    • Gelfond, A.O.1
  • 8
    • 0029274505 scopus 로고
    • Theory and applications of q-ary interleaved sequences
    • [Gon] Gong, G. - Theory and applications of q-ary interleaved sequences. IEEE Trans. Inform. Theory 41, 400-411 (1995).
    • (1995) IEEE Trans. Inform. Theory , vol.41 , pp. 400-411
    • Gong, G.1
  • 10
    • 0000819591 scopus 로고
    • Ergodic properties of piecewise monotonic transformations
    • [HK] Hofbauer, F. and G. Keller - Ergodic properties of piecewise monotonic transformations. Math. Zeit. 180, 119-140 (1982).
    • (1982) Math. Zeit. , vol.180 , pp. 119-140
    • Hofbauer, F.1    Keller, G.2
  • 12
    • 0002596955 scopus 로고
    • The theory of asymptotic distribution modulo one
    • [Kok] Koksma, J.F. - The theory of asymptotic distribution modulo one. Compositio Math. 16, 1-22 (1964).
    • (1964) Compositio Math. , vol.16 , pp. 1-22
    • Koksma, J.F.1
  • 13
    • 0002391598 scopus 로고
    • (translation). Chelsea Publishing Co., New York
    • [Kol] Kolmogorov, A. - Foundations of Probability (translation). Chelsea Publishing Co., New York, (1950).
    • (1950) Foundations of Probability
    • Kolmogorov, A.1
  • 14
    • 0032349991 scopus 로고    scopus 로고
    • A bound for the discrepancy of digital nets and its application to the analysis of certain pseudo-random number generators
    • [Lar] Larcher, G. - A bound for the discrepancy of digital nets and its application to the analysis of certain pseudo-random number generators. Acta Arith. 83, 1-15 (1998).
    • (1998) Acta Arith. , vol.83 , pp. 1-15
    • Larcher, G.1
  • 15
    • 84966227493 scopus 로고
    • On the existence of invariant measures for piecewise monotonic transformations
    • [LY] Lasota, A. and J.A. Yorke - On the existence of invariant measures for piecewise monotonic transformations. Trans. Amer. Math. Soc. 186,481-488 (1973).
    • (1973) Trans. Amer. Math. Soc. , vol.186 , pp. 481-488
    • Lasota, A.1    Yorke, J.A.2
  • 16
    • 21844485876 scopus 로고
    • Decay of correlations for piecewise expanding maps
    • [Liv1] Liverani, C. - Decay of correlations for piecewise expanding maps. J. Statist. Phys. 78, 1111-1129 (1995).
    • (1995) J. Statist. Phys. , vol.78 , pp. 1111-1129
    • Liverani, C.1
  • 17
    • 0000345142 scopus 로고
    • Decay of correlations
    • [Liv2] Liverani, C. - Decay of correlations. Ann. of Math. 142, 239-301 (1995).
    • (1995) Ann. of Math. , vol.142 , pp. 239-301
    • Liverani, C.1
  • 19
    • 0010564057 scopus 로고
    • On the β-expansions of real numbers
    • [Par] Parry, W. - On the β-expansions of real numbers. Acta Math. Acad. Sci. Hungar. 11, 401-416 (1960).
    • (1960) Acta Math. Acad. Sci. Hungar. , vol.11 , pp. 401-416
    • Parry, W.1
  • 20
    • 0040341424 scopus 로고
    • Representations for real numbers and their ergodic properties
    • [Ren] Rényi, A. - Representations for real numbers and their ergodic properties. Acta Math. Acad. Sci. Hungar. 8, 477-493 (1957).
    • (1957) Acta Math. Acad. Sci. Hungar. , vol.8 , pp. 477-493
    • Rényi, A.1
  • 21
    • 84963057031 scopus 로고
    • Conjugates of beta-numbers and the zero-free domain for a class of analytic functions
    • [Sol] Solomyak, B. - Conjugates of beta-numbers and the zero-free domain for a class of analytic functions. Proc. London Math. Soc. 68, 477-498 (1994).
    • (1994) Proc. London Math. Soc. , vol.68 , pp. 477-498
    • Solomyak, B.1
  • 22
    • 0002393846 scopus 로고    scopus 로고
    • A natural algorithm for generation of pseudo-random numbers and its applications
    • [USp] Ugrin-Šparac, D. - A natural algorithm for generation of pseudo-random numbers and its applications. Monte Carlo Methods Appl. 2, 191-217 (1996).
    • (1996) Monte Carlo Methods Appl. , vol.2 , pp. 191-217
    • Ugrin-Šparac, D.1
  • 23
    • 0002733708 scopus 로고
    • Pseudo-random number generator by means of irrational rotation
    • [Sug] Sugita, H. - Pseudo-random number generator by means of irrational rotation. Monte Carlo Methods Appl. 1, 35-57 (1995).
    • (1995) Monte Carlo Methods Appl. , vol.1 , pp. 35-57
    • Sugita, H.1
  • 24
    • 0002508934 scopus 로고
    • Equilibrium states for β-transformations and related transformations
    • [W1] Walters, P. - Equilibrium states for β-transformations and related transformations. Math. Zeit. 159, 65-88 (1978).
    • (1978) Math. Zeit. , vol.159 , pp. 65-88
    • Walters, P.1
  • 25
    • 0003294438 scopus 로고
    • An introduction to ergodic theory
    • Springer Verlag, New York
    • [W2] Walters, P. - An introduction to ergodic theory. Graduate Texts in Maths 79, Springer Verlag, New York, (1982).
    • (1982) Graduate Texts in Maths , vol.79
    • Walters, P.1
  • 26
    • 0037960194 scopus 로고
    • Über der Gleichverteilung von Zahlen mod 1
    • [Wey] Weyl, H. - Über der Gleichverteilung von Zahlen mod 1. Math. Ann.77, 313-352 (1916).
    • (1916) Math. Ann. , vol.77 , pp. 313-352
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.