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- HUN-REN Alfréd Rényi Institute of MathematicsHU42 papers
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8 papers · 1 filter
Unified framework for hybrid percolation transitions based on microscopic dynamics
Hoyun Choi, Y. S. Cho, Raissa D'Souza +2
A hybrid percolation transition (HPT) exhibits both discontinuity of the order parameter and critical behavior at the transition point. Such dynamic transitions can occur in two wa…
Physical networks as network-of-networks
Gábor Pete, Ádám Timár, Sigurdur Örn Stefánsson +2
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 affects…
Impact of physicality on network structure
Márton Pósfai, Balázs Szegedy, Iva Bačić +5
The emergence of detailed maps of physical networks, like the brain connectome, vascular networks, or composite networks in metamaterials, whose nodes and links are physical entiti…
Heterogeneity extends criticality
Fernanda Sánchez-Puig, Octavio Zapata, Omar K. Pineda +2
Criticality has been proposed as a mechanism for the emergence of complexity, life, and computation, as it exhibits a balance between robustness and adaptability. In classic models…
Maximal dispersion of adaptive random walks
Gabriele Di Bona, Leonardo Di Gaetano, Vito Latora +1
Maximum entropy random walks (MERWs) are maximally dispersing and play a key role in optimizing information spreading in various contexts. However, building MERWs comes at the cost…
Local topological moves determine global diffusion properties of hyperbolic higher-order networks
Ana P Millán, Reza Ghorbanchian, Nicolò Defenu +2
From social interactions to the human brain, higher-order networks are key to describe the underlying network geometry and topology of many complex systems. While it is well known…