Publications

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2018
Castillo, P. I., and F. L. Metz, "Large-deviation theory for diluted Wishart random matrices", Physical Review E, vol. 032124 , pp. 97, 2018.
Bolfe, M., L. Nicolao, and F. L. Metz, "Phase diagram and metastability of the Ising model on two coupled networks", Journal of Statistical Mechanics, pp. 083404, 2018.
Castillo, P. I., and F. L. Metz, "Theory for the conditioned spectral density of noninvariant random matrices", Physical Review E, vol. 020102(R), pp. 98, 2018.
2017
Metz, F. L., " Replica-symmetric approach to the typical eigenvalue fluctuations of Gaussian random matrices", Journal of Physics A, vol. 50, pp. 495002, 2017.
Metz, F. L., and P. I. Castillo, "Level compressibility for the Anderson model on regular random graphs and the eigenvalue statistics in the extended phase", Physical Review B, vol. 96, pp. 064202, 2017.
2016
, "Eigenvalue Outliers of Non-Hermitian Random Matrices with a Local Tree Structure", Physical Review Letters, vol. 117, pp. 224101 , 2016.
Metz, F. L., and P. I. Castillo, "Large Deviation Function for the Number of Eigenvalues of Sparse Random Graphs Inside an Interval", Physical Review Letters, vol. 117, pp. 104101 , 2016.
2015
Metz, F. L., and D. A. Stariolo, "Index statistical properties of sparse random graphs", Physical Review E, vol. 92, pp. 042153, 2015.
2014
Metz, F. L., G. Parisi, and L. Leuzzi, "Finite-size corrections to the spectrum of regular random graphs: An analytical solution", Physical Review E, vol. 90, pp. 052109, 2014.
Metz, F. L., L. Leuzzi, and G. Parisi, "Renormalization flow of the hierarchical Anderson model at weak disorder", Physical Review B, vol. 89, pp. 064201 , 2014.
Metz, F. L., J. Rocchi, and P. Urbani, "Statistical mechanics of the spherical hierarchical model with random fields", Journal of Statistical Mechanics, pp. P09018, 2014.
2013
Bollé, D., F. L. Metz, and I. Neri, "On the spectra of large sparse graphs with cycles", Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday: Amer. Math. Soc., 2013.
Metz, F. L., L. Leuzzi, G. Parisi, and S. V. IV, "Transition between localized and extended states in the hierarchical Anderson model", Physical Review B, vol. 88, pp. 045103, 2013.
2012
Neri, I., and F. L. Metz, "Spectra of Sparse Non-Hermitian Random Matrices: An Analytical Solution", Physical Review Letters, vol. 109, pp. 030602, 2012.
2011
Metz, F. L., I. Neri, and D. Bollé, "Spectra of sparse regular graphs with loops", Phys. Rev. E, vol. 84, pp. 055101(R), 2011.
2010
Metz, F. L., I. Neri, and D. Bollé, "Localization transition in symmetric random matrices", Phys. Rev. E, vol. 82, pp. 031135, 2010.
Neri, I., F. L. Metz, and D. Bollé, "The phase diagram of Lévy spin glasses", Journal of Statistical Mechanics, pp. P01010, 2010.
2009
Metz, F. L., and W. K. Theumann, "Symmetric sequence processing in a recurrent neural network model with a synchronous dynamics", Journal of Physics A, vol. 42, pp. 385001, 2009.
2008
Metz, F. L., and W. K. Theumann, "Instability of frozen-in states in synchronous Hebbian neural networks", Journal of Physics A, vol. 41, pp. 265001, 2008.
2007
Metz, F. L., and W. K. Theumann, "Period-two cycles in a feed-forward layered neural network model with symmetric sequence processing", Phys. Rev. E, vol. 75, pp. 041907, 2007.
2006
Metz, F. L., and W. K. Theumann, "Feed-forward chains of recurrent attractor neural networks with finite dilution near saturation", Physica A, vol. 368, pp. 273, 2006.
2005
Metz, F. L., and W. K. Theumann, "Pattern reconstruction and sequence processing in feed-forward layered neural networks near saturation", Phys. Rev. E, vol. 72, pp. 021908, 2005.