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pro vyhledávání: '"Pastur L"'
Autor:
Pastur, L., Slavin, V.
Publikováno v:
Entropy 2024, 26(7), 564
We consider a quantum system of large size $N$ and its subsystem of size $L$ assuming that $N$ is much larger than $L$, which can also be sufficiently large, i.e., $1 \ll L \lesssim N $. A widely accepted mathematical version of this heuristic inequa
Externí odkaz:
http://arxiv.org/abs/2405.11342
Autor:
Pastur, L., Slavin, V.
We study the distribution of singular values of product of random matrices pertinent to the analysis of deep neural networks. The matrices resemble the product of the sample covariance matrices, however, an important difference is that the population
Externí odkaz:
http://arxiv.org/abs/2011.11439
Publikováno v:
Low Temperature Physics 46, 724 (2020)
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 considered. The possibility of using these valves as electric batteries i
Externí odkaz:
http://arxiv.org/abs/2008.00068
Akademický článek
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Autor:
Pastur, L., Shcherbina, M.
The paper is a continuation of work [15] in which the general setting for analogs of the Szeg\"o theorem for ergodic operators was given and several interesting cases were considered. Here we extend the results of [15] to a wider class of test functi
Externí odkaz:
http://arxiv.org/abs/1809.04813
Autor:
Pastur, L., Slavin, V.
We consider the macroscopic system of free lattice fermions in one dimension assuming that the one-body Hamiltonian of the system is the one dimensional discrete Schr\"odinger operator with independent identically distributed random potential. We sho
Externí odkaz:
http://arxiv.org/abs/1703.08209
Autor:
Pastur, L.
We consider the macroscopic system of free lattice fermions in one dimensions assuming that the one-body Hamiltonian of the system is the one dimensional discrete Schr\"odinger operator with independent identically distributed random potential. We sh
Externí odkaz:
http://arxiv.org/abs/1703.06054
Akademický článek
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We consider a macroscopic disordered system of free $d$-dimensional lattice fermions whose one-body Hamiltonian is a Schr\"{o}dinger operator $H$ with ergodic potential. We assume that the Fermi energy lies in the exponentially localized part of the
Externí odkaz:
http://arxiv.org/abs/1601.00294