Zobrazeno 1 - 10
of 1 707
pro vyhledávání: '"A, Ginestra"'
Topological signals are variables or features associated with both nodes and edges of a network. Recently, in the context of Topological Machine Learning, great attention has been devoted to signal processing of such topological signals. Most of the
Externí odkaz:
http://arxiv.org/abs/2412.05132
Synchronization is a fundamental dynamical state of interacting oscillators, observed in natural biological rhythms and in the brain. Global synchronization which occurs when non-linear or chaotic oscillators placed on the nodes of a network display
Externí odkaz:
http://arxiv.org/abs/2410.15338
Autor:
Bianconi, Ginestra
Gravity is derived from an entropic action coupling matter fields with geometry. The fundamental idea is to relate the metric of Lorentzian spacetime to a density matrix and to describe the matter fields topologically, according to a Dirac-K\"ahler d
Externí odkaz:
http://arxiv.org/abs/2408.14391
Autor:
Sun, Hanlin, Bianconi, Ginestra
In this work, we propose a comprehensive theoretical framework combining percolation theory with nonlinear dynamics in order to study hypergraphs with a time-varying giant component. We consider in particular hypergraphs with higher-order triadic int
Externí odkaz:
http://arxiv.org/abs/2407.14213
Publikováno v:
Phys. Rev. E 110, 034302 (2024)
Extended-range percolation is a robust percolation process that has relevance for quantum communication problems. In extended-range percolation nodes can be trusted or untrusted. Untrusted facilitator nodes are untrusted nodes that can still allow co
Externí odkaz:
http://arxiv.org/abs/2407.04585
Autor:
Baptista, Anthony, Niedostatek, Marta, Yamamoto, Jun, MacArthur, Ben, Kurths, Jurgen, Garcia, Ruben Sanchez, Bianconi, Ginestra
Complex systems often present higher-order interactions which require us to go beyond their description in terms of pairwise networks. Triadic interactions are a fundamental type of higher-order interaction that occurs when one node regulates the int
Externí odkaz:
http://arxiv.org/abs/2404.14997
Publikováno v:
Phys. Rev. E 110, 014307 (2024)
Higher-order networks are able to capture the many-body interactions present in complex systems and to unveil new fundamental phenomena revealing the rich interplay between topology, geometry, and dynamics. Simplicial complexes are higher-order netwo
Externí odkaz:
http://arxiv.org/abs/2404.11337
Autor:
Bianconi, Ginestra
Publikováno v:
J. Phys. A: Math. Theor. 57 365002 (2024)
We propose a theory for coupling matter fields with discrete geometry on higher-order networks, i.e. cell complexes. The key idea of the approach is to associate to a higher-order network the quantum entropy of its metric. Specifically we propose an
Externí odkaz:
http://arxiv.org/abs/2404.08556
Publikováno v:
J. Phys. Complexity 5, 015022 (2024)
Higher-order networks encode the many-body interactions existing in complex systems, such as the brain, protein complexes, and social interactions. Simplicial complexes are higher-order networks that allow a comprehensive investigation of the interpl
Externí odkaz:
http://arxiv.org/abs/2402.07631
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 57 233001 (2024)
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 flourishing proving an ideal mathematical and computational framework to ca
Externí odkaz:
http://arxiv.org/abs/2311.16265