4 citations · 4 across the 4 of their papers we have counts for
4 papers
Sums of projections with random coefficients
Leonid Pastur, Alexander Pushnitski
We study infinite sums \[ {\mathcal P}_{\varkappa}=\sum_{n=-\infty}^\infty \varkappa_n \langle\cdot, ψ_n\rangleψ_n \] of rank-one projections in a Hilbert space, where $\{ψ_n\}_{n\…
Ergodic Hankel operators
Leonid Pastur, Alexander Pushnitski
We introduce a new class of operators: ergodic families of self-adjoint Hankel operators realised as integral operators on the half-line. Inspired by the spectral theory of differe…
On the Equilibrium State of a Small System with Random Matrix Coupling to Its Environment
Joel L. Lebowitz, Leonid Pastur
We consider a random matrix model of interaction between a small -level system, , and its environment, a -level heat reservoir, . The interaction between and is…
The Central Limit Theorem for Linear Eigenvalue Statistics of the Sum of Independent Matrices of Rank One
O. Guédon, A. Lytova, A. Pajor +1
We consider random matrices , where , are i.i.d. is…