Précis d'un cours sur l'ensemble du droit privé des Romains... (2e édition revue et corrigée sur la 4e édition allemande...) / par Théodore Marezoll,... ; traduit et annoté par C.-A. Pellat,...

Titre original : Lehrbuch der Institutionen der römischen Rechtex

Testing Spatial Autocorrelation in Weighted Networks : the Modes Permutation Test

In a weighted spatial network, as specified by an exchange matrix, the variances of the spatial values are inversely proportional to the size of the regions. Spatial values are no more exchangeable under independence, thus weakening the rationale for ordinary permutation and bootstrap tests of spatial autocorrelation. We propose an alternative permutation test for spatial autocorrelation, based upon exchangeable spatial modes, constructed as linear orthogonal combinations of spatial values. The coefficients obtain as eigenvectors of the standardised exchange matrix appearing in spectral clustering, and generalise to the weighted case the concept of spatial filtering for connectivity matrices. Also, two proposals aimed at transforming an acessibility matrix into a exchange matrix with with a priori fixed margins are presented. Two examples (inter-regional migratory flows and binary adjacency networks) illustrate the formalism, rooted in the theory of spectral decomposition for reversible Markov chains.

Statistical mechanics in the extended Gaussian ensemble

The extended Gaussian ensemble (EGE) is introduced as a generalization of the canonical ensemble. This ensemble is a further extension of the Gaussian ensemble introduced by Hetherington [J. Low Temp. Phys. 66, 145 (1987)]. The statistical mechanical formalism is derived both from the analysis of the system attached to a finite reservoir and from the maximum statistical entropy principle. The probability of each microstate depends on two parameters ß and ¿ which allow one to fix, independently, the mean energy of the system and the energy fluctuations, respectively. We establish the Legendre transform structure for the generalized thermodynamic potential and propose a stability criterion. We also compare the EGE probability distribution with the q-exponential distribution. As an example, an application to a system with few independent spins is presented.

[Voyage en Italie : 1824-1830]. , [Vue présumée de la Punta Nera, port et] rue en pente à Porto Ferrajo : [deux vues perspectives, un plan d'ensemble] : [dessin] / h. L. [Henri Labrouste]

Référence bibliographique : Weigert, 106

[Voyage en Italie : 1824-1830]. , Cimetière hors la Ville : [plan d'ensemble, plan du portique d'entrée] : [dessin] / h. L. [Henri Labrouste]

Référence bibliographique : Weigert, 203

[Voyage en Italie : 1824-1830]. , Eglise Stradone S. Ambrogio : [vue d'ensemble, vue perspective du Ciborium] : [dessin] / h. L. [Henri Labrouste]

Référence bibliographique : Weigert, 210

[Voyage en Italie : 1824-1830]. , Eglise Stradone S. Ambrogio : [vue perspective de l'escalier du Ciborium, plan d'ensemble de l'église] : [dessin] / h. L. [Henri Labrouste]

Référence bibliographique : Weigert, 211

[Voyage en Italie : 1824-1830]. , S. Spirito, Sur une Echelle de 0,002 1/2 P.M. : [plan d'ensemble] : [dessin] / h. L. [Henri Labrouste]

Référence bibliographique : Weigert, 133

[Voyage en Italie : 1824-1830]. , Chapelle de Ste Cécile à Fiesole près Florence : [plan d'ensemble, coupe longitudinale] : [dessin] / h. L. [Henri Labrouste]

Référence bibliographique : Weigert, 115