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Description of Specifications by Means of Probability Distributions in Small Volumes Under Condition of Very Weak Positivity

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Abstract

The problem of description of s by means of probability distributions in small volumes with infinite boundary conditions is considered. The description of s by means of s (consistent systems of probability distributions in volumes of cardinality bounded by n with infinite boundary conditions) is established under the condition of very weak positivity. Particular attention is paid to the most important case n = 1 which requires special considerations.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Appliquées, Université Blaise Pascal (Clermont-Ferrand 2), 63177, Aubière Cedex, France; e-mail:

    S. Dachian

  2. Institute of Mathematics, National Academy of Sciences of Armenia, 24-b, Av. M. Bagramian, 375019, Yerevan, Armenia; e-mail:

    B. S. Nahapetian

Authors
  1. S. Dachian
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  2. B. S. Nahapetian
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Dachian, S., Nahapetian, B.S. Description of Specifications by Means of Probability Distributions in Small Volumes Under Condition of Very Weak Positivity. Journal of Statistical Physics 117, 281–300 (2004). https://doi.org/10.1023/B:JOSS.0000044069.91072.0b

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  • DOI: https://doi.org/10.1023/B:JOSS.0000044069.91072.0b

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