Eigenvalues of Toeplitz minimal systems of finite topological rank

In this article we characterize measure theoretical eigenvalues of Toeplitz Bratteli-Vershik minimal systems of finite topological rank which are not associated to a continuous eigenfunction. Several examples are provided to illustrate the different situations that can occur

The Variation of Elastic Modulus and Changes of Structures and Mineral Phases In Rocks as Parameters for the Identification of Fire-Setting in Ancient Mines

The article is focused on the creation of a protocol for the analytical characterization of fire-setting in different types of rock. A set of experiments of heating and cooling have been carried out on different kind of rocks under various conditions and durations in order to record changes in the structures and composition of the samples. This study was set to support the solution of issues in the case of ambiguous identification between structures due to natural events in the rock and artificial exploitation