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- Imperial College LondonGB133 papers
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14 papers · 1 filter
Laplacian Renormalization Group: An introduction to heterogeneous coarse-graining
Guido Caldarelli, Andrea Gabrielli, Tommaso Gili +1
The renormalization group (RG) constitutes a fundamental framework in modern theoretical physics. It allows the study of many systems showing states with large-scale correlations a…
Evidence of scale-free clusters of vegetation in tropical rainforests
Pablo Villegas, Tommaso Gili, Guido Caldarelli +1
Tropical rainforests exhibit a rich repertoire of spatial patterns emerging from the intricate relationship between the microscopic interaction between species. In particular, the…
Characterizing spatial point processes by percolation transitions
Pablo Villegas, Tommaso Gili, Andrea Gabrielli +1
A set of discrete individual points located in an embedding continuum space can be seen as percolating or non-percolating, depending on the radius of the discs/spheres associated w…
Laplacian Renormalization Group for heterogeneous networks
Pablo Villegas, Tommaso Gili, Guido Caldarelli +1
The renormalization group is the cornerstone of the modern theory of universality and phase transitions, a powerful tool to scrutinize symmetries and organizational scales in dynam…
Emergent spatial patterns of coexistence in species-rich plant communities
Pablo Villegas, Tommaso Gili, Guido Caldarelli
Statistical Physics has proved essential to analyze multi-agent environments. Motivated by the empirical observation of various non-equilibrium features in Barro Colorado and other…
Maximal-entropy random walks in complex networks with limited information
Roberta Sinatra, Jesús Gómez-Gardeñes, Renaud Lambiotte +2
Maximization of the entropy rate is an important issue to design diffusion processes aiming at a well-mixed state. We demonstrate that it is possible to construct maximal-entropy r…