ՀՀ ԳԱԱ Տեղեկագիր: Մաթեմատիկա =Известия НАН Армении: Математика =Proceedings of the NAS Armenia: Mathematics

The Papangelou process. A concept for Gibbs, Fermi and Bose processes

Nehring, B. and Zessin, H. (2011) The Papangelou process. A concept for Gibbs, Fermi and Bose processes. Հայաստանի ԳԱԱ Տեղեկագիր. Մաթեմատիկա, 46 (6). pp. 49-66. ISSN 00002-3043

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    Abstract

    This note is a revised and enlarged version of the german article [16] in a slightly different framework. We here correct a serious mistake in the first version and generalize the class of Polya sum processes considered there. (A corrected version of the same results can be found already in the thesis of Mathias Rafler [12].) Moreover, the class of Polya difference processes is constructed here for the first time. In analogy to classical statistical mechanics we propose a theory of interacting Bosons and Fermions. We consider Papangelou processes. These are point processes specified by some kernel which represents the conditional intensity of the process. The main result is a general construction of a large class of such processes which contains Cox, Gibbs processes of classical statistical mechanics, but also interacting Bose and Fermi processes.

    Item Type: Article
    Uncontrolled Keywords: Papangelou process; Polya sum; Polya difference process.
    Subjects: Q Science > QA Mathematics
    Divisions: UNSPECIFIED
    Depositing User: Bibliographic Department
    Date Deposited: 27 Sep 2012 15:45
    Last Modified: 27 Sep 2012 15:45
    URI: http://mathematics.asj-oa.am/id/eprint/420

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