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19 papers · 1 filter
On the structure of a background independent quantum theory: Hamilton function, transition amplitudes, classical limit and continuous limit
Carlo Rovelli
The Hamilton function is a powerful tool for studying the classical limit of quantum systems, which remains meaningful in background-independent systems. In quantum gravity, it cla…
On -adic Gibbs Measures for Hard Core Model on a Cayley Tree
D. Gandolfo, U. A. Rozikov, J. Ruiz
In this paper we consider a nearest-neighbor -adic hard core (HC) model, with fugacity , on a homogeneous Cayley tree of order (with neighbors). We focus on -a…
Entropic Fluctuations in Quantum Statistical Mechanics. An Introduction
Vojkan Jaksic, Yoshiko Ogata, Yan Pautrat +1
These lecture notes provide an elementary introduction, within the framework of finite quantum systems, to recent developments in the theory of entropic fluctuations.
Dynamical Patterns of Cattle Trade Movements
Paolo Bajardi, Alain Barrat, Fabrizio Natale +2
Despite their importance for the spread of zoonotic diseases, our understanding of the dynamical aspects characterizing the movements of farmed animal populations remains limited a…
A note on the geometrical interpretation of quantum groups and non-commutative spaces in gravity
Eugenio Bianchi, Carlo Rovelli
Quantum groups and non-commutative spaces have been repeatedly utilized in approaches to quantum gravity. They provide a mathematically elegant cut-off, often interpreted as relate…
Close encounters in a pediatric ward: measuring face-to-face proximity and mixing patterns with wearable sensors
L. Isella, M. Romano, A. Barrat +8
Nosocomial infections place a substantial burden on health care systems and represent a major issue in current public health, requiring notable efforts for its prevention. Understa…