Complex quantum networks: a topical review

J Nokkala, J Piilo, G Bianconi - Journal of Physics A …, 2024 - iopscience.iop.org
These are exciting times for quantum physics as new quantum technologies are expected to
soon transform computing at an unprecedented level. Simultaneously network science is …

Does the brain behave like a (complex) network? I. Dynamics

D Papo, JM Buldú - Physics of Life Reviews, 2023 - Elsevier
Graph theory is now becoming a standard tool in system-level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network structure does not …

Laplacian renormalization group for heterogeneous networks

P Villegas, T Gili, G Caldarelli, A Gabrielli - Nature Physics, 2023 - nature.com
The renormalization group is the cornerstone of the modern theory of universality and phase
transitions and it is a powerful tool to scrutinize symmetries and organizational scales in …

Weighted simplicial complexes and their representation power of higher-order network data and topology

F Baccini, F Geraci, G Bianconi - Physical Review E, 2022 - APS
Hypergraphs and simplical complexes both capture the higher-order interactions of complex
systems, ranging from higher-order collaboration networks to brain networks. One open …

Generalized network density matrices for analysis of multiscale functional diversity

A Ghavasieh, M De Domenico - Physical Review E, 2023 - APS
The network density matrix formalism allows for describing the dynamics of information on
top of complex structures and it has been successfully used to analyze, eg, a system's …

Geometric renormalization of weighted networks

M Zheng, G García-Pérez, M Boguñá… - Communications …, 2024 - nature.com
The geometric renormalization technique for complex networks has successfully revealed
the multiscale self-similarity of real network topologies and can be applied to generate …

Physical networks as network-of-networks

G Pete, Á Timár, SÖ Stefánsson, I Bonamassa… - Nature …, 2024 - nature.com
Physical networks are made of nodes and links that are physical objects embedded in a
geometric space. Understanding how the mutual volume exclusion between these elements …

Modeling a domain wall network in BiFeO3 with stochastic geometry and entropy-based similarity measure

D Cipollini, A Swierstra, L Schomaker - Frontiers in Materials, 2024 - frontiersin.org
A compact and tractable two-dimensional model to generate the topological network
structure of domain walls in BiFeO3 thin films is presented in this study. Our method …

Emergence of metastability in frustrated oscillatory networks: the key role of hierarchical modularity

E Caprioglio, L Berthouze - Frontiers in Network Physiology, 2024 - frontiersin.org
Oscillatory complex networks in the metastable regime have been used to study the
emergence of integrated and segregated activity in the brain, which are hypothesised to be …

A simplex path integral and a simplex renormalization group for high-order interactions

A Cheng, Y Xu, P Sun, Y Tian - Reports on Progress in Physics, 2024 - iopscience.iop.org
Modern theories of phase transitions and scale invariance are rooted in path integral
formulation and renormalization groups (RGs). Despite the applicability of these approaches …