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Aims and scope


Probability Theory and Related Fields was founded in 1962 under the title 'Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete'. The first Managing Editor was L. Schmetterer (1919 - 2004), who wrote this in the first issue: "Until about 30 years ago, the theory of probability and its applications were somewhat isolated mathematical disciplines. Then, following a period of remarkable development that is not yet completed by any means, probability theory became an important domain of mathematics, intimately connected with other domains, especially with analysis and number theory. In addition, it leads a life of its own, all by itself and in its manifold applications.


The founding Managing Editor was succeeded by K. Krickeberg in 1971, and by H. Rost in 1985. The main title of the journal was adapted into English in 1986, beginning with Volume 71. Subsequent Managing Editors were O. Kallenberg (1991), E. Bolthausen (1994), G. Grimmett (2000), J. Bertoin and J-F. Le Gall jointly (2005),  G. Ben Arous and A. Dembo jointly (2010), M. Ledoux and F. Martinelli jointly (2015) and from 2021 F. Toninelli and B. Toth.   

Aims and scope

Probability Theory and Related Fields publishes research papers in modern probability theory and its various fields of application. Thus, subjects of interest include: mathematical statistical physics, mathematical statistics, mathematical biology, theoretical computer science, and applications of probability theory to other areas of mathematics such as combinatorics, analysis, ergodic theory and geometry. The languages of publication are English, French and German.

Submission of articles

Instructions for authors can be found on the journal's website   

Please note:

Prospective authors are asked, when submitting an article to Probability Theory and Related Fields_ (PTRF), to familiarize themselves with the aims and scope of the journal and take into account its standing within the field and its standards. PTRF is ranked amongst the highest of journals within the category of probability and statistics, and therefore all submissions are judged by the highest  measures of quality and scholarship. Articles that are outside of the indicated scope of the journal will not be considered for publication. In order to enhance readability, authors are also asked to take into serious consideration the length of their articles. Although the board will consider any submission, we would appreciate it if, in cases where prospective submissions are markedly longer than the average PTRF article, the authors deposited their full-length versions onto the Arxiv or another pre-print institutional repository first.  A more condensed version of this same article can then be submitted to PTRF for consideration. In these cases, authors are also encouraged to provide references/links within the text of their official PTRF submission to the more detailed and technical aspects of their original and longer preprint version of the article.