49 citations · 266 across the 30 of their papers we have counts for
3 papers · 1 filter
The Mass Shell of the Nelson Model without Cut-Offs
S. Bachmann, D. -A. Deckert, A. Pizzo
The massless Nelson model describes non-relativistic, spinless quantum particles interacting with a relativistic, massless, scalar quantum field. The interaction is linear in the f…
On Finite Rank Deformations of Wigner Matrices
Alessandro Pizzo, David Renfrew, Alexander Soshnikov
We study the distribution of the outliers in the spectrum of finite rank deformations of Wigner random matrice under the assumption that the off-diagonal matrix entries have unifor…
Fluctuations of Matrix Entries of Regular Functions of Wigner Matrices
Alessandro Pizzo, David Renfrew, Alexander Soshnikov
We study the fluctuations of the matrix entries of regular functions of Wigner random matrices in the limit when the matrix size goes to infinity. In the case of the Gaussian ensem…