The brain is characterized by heterogeneous patterns of structural connections supporting
unparalleled feats of cognition and a wide range of behaviours. New non-invasive imaging …

Inverse problems in statistical physics are motivated by the challenges of 'big data'in
different fields, in particular high-throughput experiments in biology. In inverse problems, the …

Higher-order interactions might play a significant role in the collective dynamics of the brain.
With this motivation, we here consider a simplicial complex of neurons, in particular …

This is the first comprehensive book on information geometry, written by the founder of the
field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide …

Maximum entropy models are the least structured probability distributions that exactly
reproduce a chosen set of statistics measured in an interacting network. Here we use this …

Understanding how the interplay between higher-order and multilayer structures of
interconnections influences the synchronization behaviors of dynamical systems is a …

In the cortex, the interactions among neurons give rise to transient coherent activity patterns
that underlie perception, cognition, and action. Recently, it was actively debated whether the …

ABSTRACT A potential issue of interest is figuring out how the combination of temporal and
higher-order interactions influences the collective dynamics of the brain, specifically …

Computational neuroscience models have been used for understanding neural dynamics in
the brain and how they may be altered when physiological or other conditions change. We …

The brain is widely assumed to be a paradigmatic example of a complex, self-organizing
system. As such, it should exhibit the classic hallmarks of nonlinearity, multistability, and …