42 citations
- University of PerugiaIT14 papers
- Argonne National LaboratoryUS6 papers
- Terra Quantum (Switzerland)CH4 papers
- University of ChicagoUS4 papers
- Heriot-Watt UniversityGB3 papers
- Istituto Nazionale di Fisica Nucleare, Sezione di PerugiaIT3 papers
- Eindhoven University of TechnologyNL2 papers
- Institute for Physics of MicrostructuresRU2 papers
- Institute of Semiconductor PhysicsRU2 papers
- Istituto Nazionale di Fisica NucleareIT2 papers
- Northeastern UniversityUS2 papers
- Novosibirsk State UniversityRU2 papers
6 papers · 1 filter
Ollivier curvature of random geometric graphs converges to Ricci curvature of their Riemannian manifolds
Pim van der Hoorn, Gabor Lippner, Carlo Trugenberger +1
Curvature is a fundamental geometric characteristic of smooth spaces. In recent years different notions of curvature have been developed for combinatorial discrete objects such as…
Topological Nature of High Temperature Superconductivity
M. C. Diamantini, C. A. Trugenberger, V. M. Vinokur
The key to unraveling the nature of high-temperature superconductivity (HTS) lies in resolving the enigma of the pseudogap state. The pseudogap state in the underdoped region is a…
Emergence of the Circle in a Statistical Model of Random Cubic Graphs
Christy Kelly, Carlo Trugenberger, Fabio Biancalana
We consider a formal discretisation of Euclidean quantum gravity defined by a statistical model of random -regular graphs and making using of the Ollivier curvature, a coarse an…
Ollivier-Ricci curvature convergence in random geometric graphs
Pim van der Hoorn, William J. Cunningham, Gabor Lippner +2
Connections between continuous and discrete worlds tend to be elusive. One example is curvature. Even though there exist numerous nonequivalent definitions of graph curvature, none…
Quantum magnetic monopole condensate
M. C. Diamantini, C. A. Trugenberger, V. M. Vinokur
Despite decades-long efforts, magnetic monopoles were never found as elementary particles. Monopoles and associated currents were directly measured in experiments and identified as…
Magnetic monopoles and superinsulation in Josephson junction arrays
C. A. Trugenberger, M. C. Diamantini, N. Poccia +2
Electric-magnetic duality or S-duality, extending the symmetry of Maxwell's equations by including the symmetry between Noether electric charges and topological magnetic monopoles,…