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On the Lyapounov exponents of Schrodinger operators associated with the standard map
Lyapounov exponents Schrodinger operators associated standard map
2012/3/1
It is shown that Schrodinger operators defined from the standard map have positive (mean) Lyapounov exponents for almost all energies.
Resonant uniqueness of radial semiclassical Schrodinger operators
inverse scattering theory trace invariants semiclassical Schrodinger operators
2011/8/25
Abstract: We prove that radial, monotonic, superexponentially decaying potentials in R^n, n greater than or equal to 1 odd, are determined by the resonances of the associated semiclassical Schrodinger...
Ito diffusions, modified capacity and harmonic measure. Applications to Schrodinger operators
Absolutely continuous spectrum Schr¨odinger operator
2011/2/22
We observe that some special Itˆo diffusions are related to scattering properties of a Schr¨odinger operator on Rd, d 2. We introduce Feynman-Kac type formulae for these stochastic processes wh...
Schrodinger operators and the distribution of resonances in sectors
Schrodinger operators distribution of resonances
2011/2/22
The purpose of this paper is to give some refined results about the distribution of resonances in potential scattering. We use techniques and results from one and several complex variables, including ...
Square functions associated to Schrodinger operators
Schr¨odinger operator reverse H¨older class Littlewood-Paley square function
2010/12/14
We characterize geometric properties of Banach spaces in terms of boundedness of square functions associated to general Schr¨odinger operators of the form L = − + V , where the
nonnegative pot...