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26 papers · 1 filter
How to make a fragile network robust and vice versa
Andre A. Moreira, Jose S. Andrade, Hans J. Herrmann +1
We investigate topologically biased failure in scale-free networks with degree distribution . The probability that an edge remains intact is assumed to dep…
Fuzzy spaces topology change as a possible solution to the black hole information loss paradox
C. A. S. Silva
In this paper we argue that modelling the black hole event horizon as a fuzzy sphere we can get a possible solution to the black hole information loss paradox.
The mean curvature of cylindrically bounded submanifolds
L. J. Alias, G. Pacelli Bessa, M. Dajczer
We give an estimate of the mean curvature of a complete submanifold lying inside a closed cylinder in a product Riemannian manifold $N^{n-\ell}\times\R^{\ell}…
Monotonicity theorems for Laplace Beltrami operator on Riemannian manifolds
Eduardo V Teixeira, Lei Zhang
For free boundary problems on Euclidean spaces, the monotonicity formulas of Alt-Caffarelli-Friedman and Caffarelli-Jerison-Kenig are cornerstones for the regularity theory as well…
Ising model on the Apollonian network with node dependent interactions
R. F. S. Andrade, J. S. Andrade, H. J. Herrmann
This work considers an Ising model on the Apollonian network, where the exchange constant between two neighboring spins is a function of the degre…
Flatband localization in the Anderson-Falicov-Kimball model
A. M. C. Souza, H. J. Herrmann
The insulator-metal-insulator transition caused by a flatband is analyzed within dynamical mean-field theory using the Anderson-Falicov-Kimball model. We observe quantitative disag…