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A limit equation associated to the solvability of the vacuum Einstein constraint equations using the conformal method
solvability vacuum Einstein constraint equations conformal method
2011/3/2
Let (M, g) be a compact Riemannian manifold on which a tracefree and divergence-free 2 W1,p and a positive function 2 W1,p, p > n,are fixed. In this paper, we study the vacuum Einstein constraint ...
Strong-field dipole resonance. I. Limiting analytical cases
population dynamics N-level systems dipolar molecules resonance
2011/3/3
We investigate population dynamics in N-level systems driven beyond the linear regime by a
strong external field, which couples to the system through an operator with nonzero diagonal
elements.
Wegner estimate and Anderson localization for random magnetic fields
Wegner estimate Anderson localization random Schr¨odinger operator
2011/2/25
We consider a two dimensional magnetic Schr¨odinger operator with a spatially stationary random magnetic field. We assume that the magnetic field has a positive lower bound and that it has Fourier mod...
Poincaré inequality for Markov random fields via disagreement percolation
Poincar´ e inequality weak Poincar´ e inequality Gibbs mea-
2011/1/20
We consider Markov random fields of discrete spins on the lattice Zd. We use a technique of coupling of conditional distributions. If under the coupling the disagreement cluster is “sufficiently” subc...