106 citations · 468 across the 11 of their papers we have counts for
4 papers · 1 filter
Disordered ensembles of random matrices
O. Bohigas, J. X. de Carvalho, M. P. Pato
It is shown that the families of generalized matrix ensembles recently considered which give rise to an orthogonal invariant stable Lévy ensemble can be generated by the simple pro…
Exact Minimum Eigenvalue Distribution of an Entangled Random Pure State
Satya N. Majumdar, Oriol Bohigas, Arul Lakshminarayan
A recent conjecture regarding the average of the minimum eigenvalue of the reduced density matrix of a random complex state is proved. In fact, the full distribution of the minimum…
Distance matrices and isometric embeddings
E. Bogomolny, O. Bohigas, C. Schmit
We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices defined on euclidean and spherical spaces have all eigenval…
Large Deviations of the Maximum Eigenvalue in Wishart Random Matrices
Pierpaolo Vivo, Satya N. Majumdar, Oriol Bohigas
We compute analytically the probability of large fluctuations to the left of the mean of the largest eigenvalue in the Wishart (Laguerre) ensemble of positive definite random matri…