Networks of noisy oscillators with correlated degree and frequency dispersion

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase oscillators that represent the node dynamics. Crucially in our work, the variability in the number of connections of the nodes is correlated with the width of the frequency distribution of the oscillators. By numerical simulations on Erdös-Rényi networks, where the frequencies of the oscillators are Gaussian distributed, we make the counterintuitive observation that an increase in the strength of the correlation is accompanied by an increase in the critical coupling strength for the onset of synchronization. We further observe that the critical coupling can solely depend on the average number of connections or even completely lose its dependence on the network connectivity. Only beyond this state, a weighted mean-field approximation breaks down. If noise is present, the correlations have to be stronger to yield similar observations.

Bulletin archéologique publié par le Comité historique des arts et monumens

1844 (T3)-1845.

Bulletin archéologique publié par le Comité historique des arts et monumens

1846 (T4)-1848.

Bulletin archéologique publié par le Comité historique des arts et monumens

1842 (T2)-1843.

Bulletin archéologique publié par le Comité historique des arts et monumens

Variante(s) de titre : Bulletin archéologique publié par le Comité historique des arts et monuments

Bulletin archéologique publié par le Comité historique des arts et monumens

1840 (T1)-1841.

Agglomeration vs. dispersion of economic activities in the districts of Paris

The spatial distribution of economic activity has often been analysed for wide geographical areas such as regions or metropolitan areas, but it has rarely been subject to microanalysis, especially outside the U.S. In this paper we focus on what happens within a large European city (Par is), and analyse how the industrial composition of its districts differs and how these districts evolve. We also analyse suburbanization process for both residents and the workforce and provide empirical evidence about the changing roles of the core and intramuros periphery. Keywords: agglomeration, suburbanization, Paris, micropolitan analysis

Bulletin du Centre international de synthèse, section de synthèse historique

1926/12 (N2).