WebOct 18, 2016 · This chapter is devoted to various interactions between the graph theory and mathematical physics of disordered media, studying spectral properties of random quantum Hamiltonians. We show how the notions, methods, and constructions of graph theory can help one to solve difficult problems, and also highlight recent developments in spectral … WebFeb 2, 2024 · We consider the limit of the empirical spectral distribution of Laplace matrices of generalized random graphs. Applying the Stieltjes transform method, we prove under general conditions that the limit spectral distribution of Laplace matrices converges to the free convolution of the semicircular law and the normal law.
Spectra of random graphs with arbitrary expected …
WebApr 27, 2012 · Our results naturally apply to the classic Erdős-Rényi random graphs, random graphs with given expected degree sequences, and bond percolation of general graphs. … http://web.mit.edu/18.338/www/2012s/projects/yz_slides.pdf effect of temperature on magnetism pdf
Phys. Rev. E 89, 042816 (2014) - Spectra of random graphs with ...
WebMay 12, 2003 · The Random Graph Model Spectra of the Adjacency Matrix of Random Graphs with Given Degree Distribution Eigenvalues of the Adjacency Matrix of Power-Law Graphs Spectrum of the Laplacian A Sharp Bound for Random Graphs with Relatively Large Minimum Expected Degree The Semicircle Law Summary Notes Acknowledgments … WebApr 12, 2024 · Deep Random Projector: Accelerated Deep Image Prior Taihui Li · Hengkang Wang · Zhong Zhuang · Ju Sun Spectral Bayesian Uncertainty for Image Super-resolution Tao Liu · Jun Cheng · Shan Tan Contrastive Semi-supervised Learning for Underwater Image Restoration via Reliable Bank Shirui Huang · Keyan Wang · Huan Liu · Jun Chen · Yunsong Li WebApr 28, 2014 · Using methods from random matrix theory researchers have recently calculated the full spectra of random networks with arbitrary degrees and with community structure. Both reveal interesting spectral features, including deviations from the Wigner semicircle distribution and phase transitions in the spectra of community structured … effect of temperature on laser