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4 papers · 2 filters
Absence of Breakdown of the Poisson Hypothesis I. Closed Networks at Low Load
Alexander Rybko, Senya Shlosman, Alexander Vladimirov
We prove that the general mean-field type networks at low load behave in accordance with the Poisson Hypothesis. That means that the network equilibrates in time independent of its…
Minimization variational principles for acoustics, elastodynamics, and electromagnetism in lossy inhomogeneous bodies at fixed frequency
Graeme W. Milton, Pierre Seppecher, Guy Bouchitte
The classical energy minimization principles of Dirichlet and Thompson are extended as minimization principles to acoustics, elastodynamics and electromagnetism in lossy inhomogene…
Spectral and scattering theory for some abstract QFT Hamiltonians
Christian Gérard, Annalisa Panati
We introduce an abstract class of bosonic QFT Hamiltonians and study their spectral and scattering theories. These Hamiltonians are of the form $H=\d\G(ω)+ V$ acting on the bosonic…
Generalized eigenvalue-counting estimates for the Anderson model
Jean-Michel Combes, François Germinet, Abel Klein
We generalize Minami's estimate for the Anderson model and its extensions to eigenvalues, allowing for arbitrary intervals and arbitrary single-site probability measures wi…