Listar Ciencias Exactas y Naturales por autor "Pérez-Castillo, Isaac"
Mostrando ítems 1-6 de 6
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Analytic solution of the two-star model with correlated degrees
Bolfe, Maíra Angélica; Metz, Fernando Lucas; Guzmán-González, Edgar; Pérez-Castillo, Isaac (2021) [Artículo de periódico]Exponential random graphs are important to model the structure of real-world complex networks. Here we solve the two-star model with degree-degree correlations in the sparse regime. The model constraints the average ... -
Condensation of degrees emerging through a first-order phase transition in classical random graphs
Metz, Fernando Lucas; Pérez-Castillo, Isaac (2019) [Artículo de periódico]Due to their conceptual and mathematical simplicity, Erdös-Rényi or classical random graphs remain as a fundamental paradigm to model complex interacting systems in several areas. Although condensation phenomena have been ... -
Large-deviation theory for dilutedWishart random matrices
Pérez-Castillo, Isaac; Metz, Fernando Lucas (2018) [Artículo de periódico]Wishart random matrices with a sparse or diluted structure are ubiquitous in the processing of large datasets, with applications in physics, biology, and economy. In this work, we develop a theory for the eigenvalue ... -
Level compressibility for the Anderson model on regular random graphs and the eigenvalue statistics in the extended phase
Metz, Fernando Lucas; Pérez-Castillo, Isaac (2017) [Artículo de periódico]We calculate the level compressibility χ(W,L) of the energy levels inside [−L/2,L/2] for the Anderson model on infinitely large random regular graphs with on-site potentials distributed uniformly in [−W/2,W/2]. We show ... -
Phase transitions in atypical systems induced by a condensation transition on graphs
Guzmán-González, Edgar; Pérez-Castillo, Isaac; Metz, Fernando Lucas (2020) [Artículo de periódico]Random graphs undergo structural phase transitions that are crucial for dynamical processes and cooperative behavior of models defined on graphs. In this work we investigate the impact of a first-order structural transition ... -
Theory for the conditioned spectral density of noninvariant random matrices
Pérez-Castillo, Isaac; Metz, Fernando Lucas (2018) [Artículo de periódico]We develop a theoretical approach to compute the conditioned spectral density of N × N noninvariant random matrices in the limit N →∞. This large deviation observable, defined as the eigenvalue distribution conditioned to ...