213 citations · 767 across the 21 of their papers we have counts for
21 papers
Two-mode geometry controls multiscale organization in bipartite systems
Ottavia Falconi, Giulio Cimini, Pablo Villegas
Many complex systems are organized around complementary roles and naturally described as bipartite networks. Unveiling their multiscale structure presents a fundamental challenge b…
Non-normal Dynamics on Non-reciprocal Networks: Reactivity and Effective Dimensionality in Neural Circuits
Anna Poggialini, Serena Di Santo, Pablo Villegas +2
Non-reciprocal interactions are a defining feature of many complex systems, biological, ecological, and technological, often pushing them far from equilibrium and enabling rich dyn…
Networks with many structural scales: a Renormalization Group perspective
Anna Poggialini, Pablo Villegas, Miguel A. Muñoz +1
Scale invariance profoundly influences the dynamics and structure of complex systems, spanning from critical phenomena to network architecture. Here, we propose a precise definitio…
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…
Multi-scale Laplacian community detection in heterogeneous networks
Pablo Villegas, Andrea Gabrielli, Anna Poggialini +1
Heterogeneous and complex networks represent intertwined interactions between real-world elements or agents. Determining the multi-scale mesoscopic organization of clusters and int…
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…
Laplacian paths in complex networks: information core emerges from entropic transitions
Pablo Villegas, Andrea Gabrielli, Francesca Santucci +2
Complex networks usually exhibit a rich architecture organized over multiple intertwined scales. Information pathways are expected to pervade these scales reflecting structural ins…
The broad edge of synchronisation: Griffiths effects and collective phenomena in brain networks
Victor Buendía, Pablo Villegas, Raffaella Burioni +1
Many of the amazing functional capabilities of the brain are collective properties stemming from the interactions of large sets of individual neurons. In particular, the most salie…
Hybrid-type synchronization transitions: where marginal coherence, scale-free avalanches, and bistability live together
Victor Buendía, Pablo Villegas, Raffaella Burioni +1
The human cortex is never at rest but in a state of sparse and noisy neural activity that can be detected at broadly diverse resolution scales. It has been conjectured that such a…
Evolution in the Debian GNU/Linux software network: analogies and differences with gene regulatory networks
Pablo Villegas, Miguel A. Muñoz, Juan A. Bonachela
Biological networks exhibit intricate architectures deemed to be crucial for their functionality. In particular, gene regulatory networks, which play a key role in information proc…
Self-organized bistability and its possible relevance for brain dynamics
Victor Buendía, Serena di Santo, Pablo Villegas +2
Self-organized bistability (SOB) is the counterpart of 'self-organized criticality' (SOC), for systems tuning themselves to the edge of bistability of a discontinuous phase transit…
Time-series thresholding and the definition of avalanche size
Pablo Villegas, Serena di Santo, Raffaella Burioni +1
Avalanches whose sizes and durations are distributed as power laws appear in many contexts. Here, we show that there is a hidden peril in thresholding continuous times series --eit…
Jensen's force and the statistical mechanics of cortical asynchronous states
Victor Buendía, Pablo Villegas, Serena di Santo +3
The cortex exhibits self-sustained highly-irregular activity even under resting conditions, whose origin and function need to be fully understood. It is believed that this can be d…
Non-normality, reactivity, and intrinsic stochasticity in neural dynamics: a non-equilibrium potential approach
Serena di Santo, Pablo Villegas, Raffaella Burioni +1
Intrinsic stochasticity can induce highly non-trivial effects on dynamical systems, including stochastic and coherence resonance, noise induced bistability, noise-induced oscillati…
Landau-Ginzburg theory of cortex dynamics: Scale-free avalanches emerge at the edge of synchronization
Serena di Santo, Pablo Villegas, Raffaella Burioni +1
Understanding the origin, nature, and functional significance of complex patterns of neural activity, as recorded by diverse electrophysiological and neuroimaging techniques, is a…
A simple unified view of branching process statistics: random walks in balanced logarithmic potentials
Serena di Santo, Pablo Villegas, Rafaella Burioni +1
We revisit the problem of deriving the mean-field values of avalanche critical exponents in systems with absorbing states. These are well-known to coincide with those of an un-bias…
Intrinsic noise and deviations from criticality in Boolean gene-regulatory networks
Pablo Villegas, José Ruiz-Franco, Jorge Hidalgo +1
Gene regulatory networks can be successfully modeled as Boolean networks. A much discussed hypothesis says that such model networks reproduce empirical findings the best if they ar…
Complex synchronization patterns in the human connectome network
Pablo Villegas, Jorge Hidalgo, Paolo Moretti +1
A major challenge in neuroscience is posed by the need for relating the emerging dynamical features of brain activity with the underlying modular structure of neural connections, h…
Interfacial depinning transitions in disordered media: revisiting an old puzzle
Belén Moglia, Ezequiel V. Albano, Pablo Villegas +1
Interfaces advancing through random media represent a number of different problems in physics, biology and other disciplines. Here, we study the pinning/depinning transition of the…
Frustrated hierarchical synchronization and emergent complexity in the human connectome network
Pablo Villegas, Paolo Moretti, Miguel A. Muñoz
The spontaneous emergence of coherent behavior through synchronization plays a key role in neural function, and its anomalies often lie at the basis of pathologies. Here we employ…