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Localization Transition for Polymers in Poissonian Medium
Directed polymers random environment Probability
2012/6/6
We study a model of directed polymers in random environment in dimension $1+d$, given by a Brownian motion in a Poissonian potential. We study the effect of the density and the strength of inhomogenei...
Overlaps and Pathwise Localization in the Anderson Polymer Model
Brownian polymer overlap Malliavin calculus parabolic Anderson model
2011/7/11
Abstract: We consider large time behavior of typical paths under the Anderson polymer measure. If $P$ is the measure induced by rate $\kappa,$ simple, symmetric random walk on $Z^d$ started at $x,$ th...
Localization for equivariant cohomology with varying polarization
equivariant cohomology Hamiltonian G-spaces equivariant localization proper cobordism
2010/12/31
We develop a localization theorem in equivariant cohomology that generalizes both the localization with respect to a component of the momentum map and the localization with respect
to the norm square...
Wegner estimate and Anderson localization for random magnetic fields
Wegner estimate Anderson localization random Schr¨odinger operator
2010/12/23
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...