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Abstract

This paper presents a model of stochastic point process (P.P.) whose occurrences are repulsive to one another. The origin of the model arises in the theory of quantum particles and describes the statistical distribution of a fermion system in thermal equilibrium. For such a system, two P.P. can be defined which describe the places of the particles at a given time or the instants when any particle passes in a given point of space. Then physical arguments lead to the value of coincidence densities (C.D.) of these P.P.

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References

  1. О. Macchi: The coincidence approach to stochastic point processes. Adv. Appl. Proba. 7 (1975), 83–122.

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J. Kožešnik

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© 1977 ACADEMIA, Publishing House of the Czechoslovak Acatemy of Sciences, Prague

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Macchi, O. (1977). The Fermion Process — A Model of Stochastic Point Process with Repulsive Points. In: Kožešnik, J. (eds) Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians. Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians, vol 7A. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9910-3_39

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  • DOI: https://doi.org/10.1007/978-94-010-9910-3_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-9912-7

  • Online ISBN: 978-94-010-9910-3

  • eBook Packages: Springer Book Archive

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