274 citations · 957 across the 29 of their papers we have counts for
29 papers
Eigenvalue Distribution of Large Random Matrices Arising in Deep Neural Networks: Orthogonal Case
Leonid Pastur
The paper deals with the distribution of singular values of the input-output Jacobian of deep untrained neural networks in the limit of their infinite width. The Jacobian is the pr…
Accumulation of spin-polarized states of charge carriers and a spintronic battery
L. A. Pastur, V. V. Slavin, A. V. Yanovsky
Spin valves based on materials in which the spin-flip is suppressed by the spatial separation of charge carriers, while maintaining electric neutrality in the valve volume, are con…
The Dynamics of Quantum Correlations of Two Qubits in a Common Environment Modeled by Large Random Matrices
Ekaterina Bratus, Leonid Pastur
This paper is a continuation of our previous paper [8], in which we have studied the dynamics of quantum correlations of two qubits embedded each into its own disordered multiconne…
On Random Matrices Arising in Deep Neural Networks. Gaussian Case
Leonid Pastur
The paper deals with distribution of singular values of product of random matrices arising in the analysis of deep neural networks. The matrices resemble the product analogs of the…
On the behaviour of large empirical autocovariance matrices between the past and the future
Philippe Loubaton, Daria Tieplova
The asymptotic behaviour of the distribution of the squared singular values of the sample autocovariance matrix between the past and the future of a high-dimensional complex Gaussi…
How much delocalisation is needed for an enhanced area law of the entanglement entropy?
Peter Müller, Leonid Pastur, Ruth Schulte
We consider the random dimer model in one space dimension with Bernoulli disorder. For sufficiently small disorder, we show that the entanglement entropy exhibits at least a logari…