4 papers
Top eigenpair statistics of diluted Wishart matrices
Barak Budnick, Preben Forer, Pierpaolo Vivo +3
Using the replica method, we compute the statistics of the top eigenpair of diluted covariance matrices of the form , where is a…
The effect of preferential node deletion on the structure of networks that evolve via preferential attachment
Barak Budnick, Ofer Biham, Eytan Katzav
We present analytical results for the effect of preferential node deletion on the structure of networks that evolve via node addition and preferential attachment. To this end, we c…
Financial instability transition under heterogeneous investments and portfolio diversification
Preben Forer, Barak Budnick, Pierpaolo Vivo +3
We analyze the stability of financial investment networks, where financial institutions hold overlapping portfolios of assets. We consider the effect of portfolio diversification a…
Phase transition in evolving networks that combine preferential attachment and random node deletion
Barak Budnick, Ofer Biham, Eytan Katzav
Analytical results are presented for the structure of networks that evolve via a preferential-attachment-random-deletion (PARD) model in the regime of overall network growth and in…