Mobility edge in the Anderson model on partially disordered random regular graphs

O Valba, A Gorsky - JETP Letters, 2022 - Springer
We study numerically the Anderson model on partially disordered random regular graphs
considered as the toy model for a Hilbert space of interacting disordered many-body system …

The birth of geometry in exponential random graphs

P Akara-Pipattana, T Chotibut… - Journal of Physics A …, 2021 - iopscience.iop.org
Inspired by the prospect of having discretized spaces emerge from random graphs, we
construct a collection of simple and explicit exponential random graph models that enjoy, in …

Interacting thermofield doubles and critical behavior in random regular graphs

O Valba, A Gorsky - Physical Review D, 2021 - APS
We discuss numerically the nonperturbative effects in exponential random graphs which are
analogue of eigenvalue instantons in matrix models. The phase structure of exponential …

Analytic solution of the two-star model with correlated degrees

M Bolfe, FL Metz, E Guzmán-González, IP Castillo - Physical Review E, 2021 - APS
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 …

Solução analítica do modelo 2-estrelas com graus correlacionados

MA Bolfe - 2021 - repositorio.ufsm.br
In this work, we study an important tool to model complex networks built from empirical data,
wich are exponential random graphs. We propose a model to generate random graphs …