ANALYTICITY OF THE PRESSURE FUNCTION FOR PRODUCTS OF MATRICES
Résumé
The pressure function is a fundamental object in various areas of mathematics. Its regularity is studied to derive insights into phase transitions in certain physical systems or to determine the Hausdorff dimension of self-affine sets. In this paper, we prove the analyticity of the pressure function for products of non-invertible matrices satisfying an irreducibility and a contractivity assumptions. Additionally, we establish a variational principle for the pressure function, thereby generalizing previous results.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
---|