Three-dimensional shape and connectivity of physical networks

L Blagojević, M Pósfai - Scientific Reports, 2024 - nature.com
Data describing the three-dimensional structure of physical networks is increasingly
available, leading to a surge of interest in network science to explore the relationship …

Understanding Machine Learning Paradigms through the Lens of Statistical Thermodynamics: A tutorial

SX Liu - arxiv preprint arxiv:2411.15945, 2024 - arxiv.org
This tutorial investigates the convergence of statistical mechanics and learning theory,
elucidating the potential enhancements in machine learning methodologies through the …

Network dismantling by physical damage

L Blagojević, I Bonamassa, M Pósfai - arxiv preprint arxiv:2412.09524, 2024 - arxiv.org
We explore the robustness of complex networks against physical damage. We focus on
spatially embedded network models and datasets where links are physical objects or …

Ensemble inequivalence and phase transitions in unlabeled networks

O Evnin, D Krioukov - arxiv preprint arxiv:2411.02739, 2024 - arxiv.org
We discover a first-order phase transition in the canonical ensemble of random unlabeled
networks with a prescribed average number of links. The transition is caused by the …

Quantum Dynamics of Curves on Curved Surfaces Embedded in Euclidean Space

G Liang, A Mei, S Xu, M Lai, H Zhao - Available at SSRN 4970556 - papers.ssrn.com
Fabrication of one-dimensional curved waveguide on two-dimensional curved manifold may
give an impetus to the investigation on new devices. Understanding how the combined …