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Random Schrodinger Operators (Random Systems and Dynamical Systems)

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On Stable Systems with Random Structure

SIAM Journal on Control and Optimization, 2022
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Mohamed-Ali Belabbas   +1 more
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Wetting in random systems

Physical Review Letters, 1986
Complete wetting and critical wetting transitions are studied in d-dimensional systems with quenched random impurities and general interactions. New but more universal singular behavior is predicted: e.g., under random fields the wetting-layer thickness at complete wetting should diverge as ${\mathrm{h}}^{\mathrm{\ensuremath{-}}1/2}$ for d=3, where h ...
Lipowsky, R., Fisher, M.
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Entanglements in random systems

Physical Review A, 1989
Topological entanglements play an important role in the physical properties, such as viscosity, of macromolecular structures. We investigate the likelihood of the appearance of entanglements in the bond percolation problem. We show that below the percolation threshold ${p}_{c}$ (but extremely close to it) there exists an entanglement threshold ${p}_{e}$
, Kantor, , Hassold
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The Analysis of Random Polling Systems

Operations Research, 1988
In this paper, we analyze the behavior of random polling systems. The polling systems we consider consist of N stations, each equipped with an infinite buffer and a single server who serves them in some order. In contrast to previously studied polling systems, where the order of service used by the server is periodic (and usually cyclic), in the ...
Leonard Kleinrock, Hanoch Levy
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Coupling of Random Systems

2020
This paper makes three contributions. First, we present a simple theory of random systems. The main idea is to think of a probabilistic system as an equivalence class of distributions over deterministic systems. Second, we demonstrate how in this new theory, the optimal information-theoretic distinguishing advantage between two systems can be ...
David Lanzenberger, Ueli Maurer
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Random Quantization of Hamiltonian Systems

Doklady Mathematics, 2021
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Gough, J.   +3 more
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