Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Metz, Fernando Lucas"'
Autor:
Neri, Izaak, Metz, Fernando Lucas
Publikováno v:
Phys. Rev. Research 2, 033313 (2020)
We present a linear stability analysis of stationary states (or fixed points) in large dynamical systems defined on random directed graphs with a prescribed distribution of indegrees and outdegrees. We obtain two remarkable results for such dynamical
Externí odkaz:
http://arxiv.org/abs/1908.07092
Publikováno v:
2019 J. Phys. A: Math. Theor. 52 434003
Sparse non-Hermitian random matrices arise in the study of disordered physical systems with asymmetric local interactions, and have applications ranging from neural networks to ecosystem dynamics. The spectral characteristics of these matrices provid
Externí odkaz:
http://arxiv.org/abs/1811.10416
Autor:
Neri, Izaak, Metz, Fernando Lucas
Publikováno v:
Phys. Rev. Lett. 117, 224101 (2016)
Spectra of sparse non-Hermitian random matrices determine the dynamics of complex processes on graphs. Eigenvalue outliers in the spectrum are of particular interest, since they determine the stationary state and the stability of dynamical processes.
Externí odkaz:
http://arxiv.org/abs/1611.07993
Autor:
Metz, Fernando Lucas
Publikováno v:
Biblioteca Digital de Teses e Dissertações da UFRGSUniversidade Federal do Rio Grande do SulUFRGS.
Estudamos neste trabalho o comportamento de modelos de redes neurais compostos de neurônios (ou sítios) e padrões descritos por variáveis binárias, onde cada neurônio conecta-se a um número macroscópico de neurônios vizinhos - modelos de cam
Externí odkaz:
http://hdl.handle.net/10183/14882
Autor:
Metz, Fernando Lucas, Peron, Thomas
Publikováno v:
Repositório Institucional da UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Understanding the relationship between the heterogeneous structure of complex networks and cooperative phenomena occurring on them remains a key problem in network science. Mean-field theories of spin models on networks constitute a fundamental tool
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::edcb5fca57e74e8f76ed3013364da240
Autor:
Metz, Fernando Lucas, Neri, Izaak
Publikováno v:
Repositório Institucional da UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Although the spectral properties of random graphs have been a long-standing focus of network theory, the properties of right eigenvectors of directed graphs have so far eluded an exact analytic treatment. We present a general theory for the statistic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::ee32d4339a3aefd1a0496ef8d3230a26
Publikováno v:
Repositório Institucional da UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
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 correlation between the degrees of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::b83495e7d43b28c009be1094f9eeb640
Publikováno v:
Repositório Institucional da UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Although the spectra of random networks have been studied for a long time, the influence of network topology on the dense limit of network spectra remains poorly understood. By considering the configuration model of networks with four distinct degree
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::ffebd36244a5a7db836effeb96243c25
Autor:
Bonatto, Cristian, Prado, Sandra Denise, Metz, Fernando Lucas, Schoffen, Julio Ricardo, Correia, Ricardo Rego Bordalo, Hickmann, Jandir Miguel
Publikováno v:
Repositório Institucional da UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Extreme or rogue waves are large and unexpected waves appearing with higher probability than predicted by Gaussian statistics. Although their formation is explained by both linear and nonlinear wave propagation, nonlinearity has been considered a nec
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::44e0ed70e7ed3535a6254c172bd4e18c
Autor:
Neri, Izaak, Metz, Fernando Lucas
Publikováno v:
Repositório Institucional da UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
We present a linear stability analysis of stationary states (or fixed points) in large dynamical systems defined on random, directed graphs with a prescribed distribution of indegrees and outdegrees. We obtain two remarkable results for such dynamica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3056::578e9c8a9a2c3588e7e09dc346b984bf