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  • 1
    Electronic Resource
    Electronic Resource
    Large deviations for functionals of stationary processes (1990)
    Springer
    Probability theory and related fields 86 (1990), S. 387-401 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Let (S n ) be a sequence ofR d -valued random variables adapted to the internal history of a stationary sequence of random elements (X n ). We formulate conditions under which the principle of large deviations holds true for the sequence (S n ).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01208257
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On distributionally regenerative processes (1994)
    Springer
    Journal of theoretical probability 7 (1994), S. 739-756 
    Details
    ISSN: 1572-9230
    Keywords: Regenerative processes ; Markov operator ; recurrent co-Feller operators
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The paper is concerned with characterization results for distributional regeneration. It is shown that distributional regeneration is equivalent to renewal representation of the associated (shift) Markov operator. A sufficient condition for the distributional regeneration of the transfer operator in terms of variation is also formulated. Finally, a minorization condition is formulated and proved to be sufficient for recurrent co-Feller operators.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02214369
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The kink of cellular automaton rule 18 performs a random walk (1992)
    Springer
    Journal of statistical physics 69 (1992), S. 1131-1136 
    Details
    ISSN: 1572-9613
    Keywords: Cellular automaton ; kink ; random walk
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We give an exact characterization of the movement of a single kink in the elementary cellular automaton Rule 18. It is a random walk with independent increments as well as independent delay times. Its statistical parameters are computed to confirm the earlier simulation results by Grassberger.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01058766
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  • 4
    Electronic Resource
    Electronic Resource
    Kink movements and percolation in the binary additive cellular automaton (1994)
    Springer
    Journal of statistical physics 75 (1994), S. 879-889 
    Details
    ISSN: 1572-9613
    Keywords: Cellular automata ; random walk ; percolation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We show that under the Bernoulli initial condition two kinks in the cellular automaton (CA) 18/256 will annihilate each other with probability one. It turns out that there is an equivalent statement in terms of percolation in the simple binary additive CA. Namely, under the Bernoulli initial condition, l's do not percolate in the binary additive CA.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02186748
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    Paper (German National Licenses)
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  • 5
    Book
    Book
    General irreducible Markov chains and non-negative operators; 83 (1984)
    Cambridge u.a. :Cambridge University Press,
    Details
    Title: General irreducible Markov chains and non-negative operators; 83
    Author: Nummelin, Esa
    Publisher: Cambridge u.a. :Cambridge University Press,
    Year of publication: 1984
    Pages: 156 S.
    Series Statement: Cambridge tracts in mathematics 83
    Type of Medium: Book
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