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              <p>This article offers a mathematical model that is in line with three-dimensional informet- rics. We show that the geometric distribution – often found in informetric processes of use to model the distributions of book loans in libraries, of citations, or of journals downloads in scientific databases – plays a surprising role. To show this, we infer the existence of another distribution, which we have called “distribution of structure”. Distributions of use and distributions of structure are the two key processes in our three-dimensional IPP (Infor- mation Production Process). Furthermore, we indirectly introduce the time dependence of these distributions through the concept of information obsolescence. To demonstrate the theorems, we use the properties of probability-generating functions (PGF).</p>
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              <p>Cet article propose un modèle mathématique qui s’inscrit dans   l’infométrie dite de dimension 3. Nous montrons que la loi géométrique, souvent rencontrée dans les processus infométriques d’usage - prêts des ouvrages dans les bibliothèques, citations des articles scientifiques, télé déchargements des journaux scientifiques dans les bases de données - joue un rôle surprenant. Afin de mettre en valeur ce rôle, nous postulons l’existence d’une autre distribution que nous avons appelé distribution de structure. Distribution d’usage et distribution de structure sont les  deux clés de notre processus. De plus nous introduisons la dépendance temporelle de ces processus, de façon implicite, à travers le concept d’obsolescence de l’information. Pour démontrer les théorèmes de ce modèle mathématiques nous utilisons les propriétés des fonctions génératrices en probabilité.</p>
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