Serafín Martínez-Jaramillo Ricardo Montañez-Enríquez Matias Ossandon Busch Manuel Ramos-Francia Anahí Rodríguez-Martínez José Manuel Sánchez-Martínez

Does financial development shield countries from the pass-through of financial shocks to real outcomes? We evaluate this question by characterising the probability density of expected GDP growth conditional on financial stability indicators in a panel of 28 countries. Our robust results unveil a non-linear nexus between financial stability and expected GDP growth, depending on countries’ degree of financial development. While both domestic and global financial factors affect expected growth, the effect of global factors is moderated by financial development. This result highlights a previously unexplored channel trough which financial development can break the link between financial (in)stability and GDP growth.

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The shape of memory in temporal networks

Oliver E. Williams, Lucas Lacasa, Ana P. Millán & Vito Latora

Nature Communications volume 13, Article number: 499 (2022)

How to best define, detect and characterize network memory, i.e. the dependence of a network’s structure on its past, is currently a matter of debate. Here we show that the memory of a temporal network is inherently multidimensional, and we introduce a mathematical framework for defining and efficiently estimating the microscopic shape of memory, which characterises how the activity of each link intertwines with the activities of all other links. We validate our methodology on a range of synthetic models, and we then study the memory shape of real-world temporal networks spanning social, technological and biological systems, finding that these networks display heterogeneous memory shapes. In particular, online and offline social networks are markedly different, with the latter showing richer memory and memory scales. Our theory also elucidates the phenomenon of emergent virtual loops and provides a novel methodology for exploring the dynamically rich structure of complex systems.

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