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  • 1
    Electronic Resource
    Electronic Resource
    Pattern dynamics and optimization by reaction diffusion systems (1986)
    Springer
    Journal of statistical physics 45 (1986), S. 891-903 
    Details
    ISSN: 1572-9613
    Keywords: Boltzmann strategies ; Darwin strategies ; annealing ; eigenvalue problems ; double dynamics ; chemical waves ; information compression on attractors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Reaction-diffusion systems show a fast and rather complex response on patterns produced by external space- and/or time-dependent perturbations. For example, one-component autocatalytic reactions rapidly find the loci where the given space-dependent reaction rates have relatively high values by following a kind of Darwinian strategy (combining self-reproduction and diffusion). It is shown that a simulation of this strategy in combination with annealing (decreasing the diffusion rates in time) may be used as an alternative to thermodynamic annealing strategies. Many-component reactions, such as the light-sensitive Belousov-Zhabotinsky reaction, show a more complex response to patterns impressed by illumination, for example. The response behavior and possible applications to dynamic information processing are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01020580
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Guessing probability distributions from small samples (1995)
    Springer
    Journal of statistical physics 80 (1995), S. 1443-1452 
    Details
    ISSN: 1572-9613
    Keywords: Entropy estimation ; information science
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We propose a new method for the calculation of the statistical properties, e.g., the entropy, of unknown generators of symbolic sequences. The probability distributionp(k) of the elementsk of a population can be approximated by the frequenciesf(k) of a sample provided the sample is long enough so that each elementk occurs many times. Our method yields an approximation if this precondition does not hold. For a givenf(k) we recalculate the Zipf-ordered probability distribution by optimization of the parameters of a guessed distribution. We demonstrate that our method yields reliable results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02179880
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    Paper (German National Licenses)
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