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Convergence of repeated QND measurements and the wave function collapse
QND measurement the wave function collapse Quantum Physics
2011/7/26
Abstract: Motivated by recent experiments on quantum trapped fields, we give a rigorous proof that repeated indirect quantum non-demolition (QND) measurements converge to the collapse of the wave func...
Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains
Homogenization eigenvalue problems perforated domains indefinite weight function two-scale convergence
2011/7/28
Abstract: Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The l...
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem
Localization Optimal Entropy Production Convergence rates the Central Limit Theorem
2011/7/27
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem.
Convergence of the Neumann series for the Schrodinger equation and general Volterra equations in Banach spaces
Neumann Convergence the Schrodinger equation
2011/7/26
Abstract: The objective of the article is to treat the Schrodinger equation in parallel with a standard treatment of the heat equation. In the mathematics literature, the heat equation initial value p...
Stochastic sigma-convergence and applications
Dynamical system homogenization supralgebras Stokes equations
2011/7/27
Abstract: Motivated by the fact that in nature almost all phenomena behave randomly in some scales and deterministically in some other scales, we build up a framework suitable to tackle both determini...