# Ikerbasque Research Fellow position

I’m thrilled to announce that I’m starting a new position as an Ikerbasque Research Fellow at the Basque Center for Applied Mathematics, where I will join the Mathematical, Computational and Experimental Neuroscience team.

I’m really excited to start this new period in ...  Read more

# How particular is the physics of the free energy principle?

In a new paper in Physics of Life Reviews I present a deep mathematical exploration of the free energy principle (FEP) in collaboration with Beren Millidge, Alexander Tschantz and Chris Buckley. The FEP has gained an important momentum as an ambitious theory aiming to provide a unifying theory of mind and life, explained in terms of approximate Bayesian i...  Read more

# A unifying framework for mean-field theories of asymmetric kinetic Ising systems

I’m happy to see published this new paper in collaboration with Amin Moosavi and Hideaki Shimazaki in Nature Communications. In this paper study and unify different kinetic mean-field methods in Ising models with the objective of developing tools for studying large data-sets from networks of neurons in non-equilibrium conditions and near critical and maximally fluctuating regimes. We propose a framework that integrates previo...  Read more

# Critical integration in neural and cognitive systems: Beyond power-law scaling as the hallmark of soft assembly

I just published a new paper with Ezequiel Di Paolo in Neuroscience & Biobehavioral Reviews. Here we review the link of self-organized criticality and integrated information with ideas about soft assembly in neural and cognitive process. Studying the properties of power-law scaling processes as a in indicator of properties like soft-assembly, self-organization or interaction-dominant-dynamics is a suggest...  Read more

# New website

Welcome to my new Jekyll website. I’ll migrate most of the content from the old one, which is still available at https://maguilera0.wordpress.com.

Together with Ezequiel Di Paolo, we have just published a new paper in which we explore how integrated information scales in very large systems. The capacity to integrate information is crucial for biological, neural and cognitive processes and it is regarded by Integrated Information Theory (IIT) proponents as a measure of conscious activity. In this paper we compute (analytically and numerically) the value of IIT measures ($\Phi$) for a family of Ising models of infinite size. This is ex...  Read more