131 citations · 875 across the 28 of their papers we have counts for
28 papers
The elbow statistic: Multiscale clustering statistical significance
Francisco J. Perez-Reche
Selecting the number of clusters remains a fundamental challenge in unsupervised learning. Existing approaches typically focus on identifying a single "optimal" partition, often ov…
Multistability and High Codimension Bifurcations in Synergistic Epidemics on Heterogeneous Networks
Francisco J. Perez-Reche, Sergei N. Taraskin
We investigate the impact of network heterogeneity on synergistic contagion dynamics. By extending a synergistic contagion model to diverse heterogeneous network topologies, we unc…
Impact of heterogeneity on infection probability: Insights from single-hit dose-response models
Francisco J. Perez-Reche
The process of infection of a host is complex, influenced by factors such as microbial variation within and between hosts as well as differences in dose across hosts. This study us…
Power-law and log-normal avalanche size statistics in random growth processes
S. Polizzi, F. -J. Perez-Reche, A. Arneodo +1
We study the avalanche statistics observed in a minimal random growth model. The growth is governed by a reproduction rate obeying a probability distribution with finite mean a and…
Modelling avalanches in martensites
Francisco J. Perez-Reche
Solids subject to continuous changes of temperature or mechanical load often exhibit discontinuous avalanche-like responses. For instance, avalanche dynamics have been observed dur…
Origin of scale-free intermittency in structural first-order phase transitions
Francisco J. Perez-Reche, Carles Triguero, Giovanni Zanzotto +1
A salient feature of cyclically driven first-order phase transformations in crystals is their scale-free avalanche dynamics. This behavior has been linked to the presence of a clas…