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An effective medium approach to the asymptotics of the statistical moments of the parabolic Anderson model and Lifshitz tails
Random medium random Schrodinger operators heat equation with random potential
2011/7/27
An effective medium approach to the asymptotics of the statistical moments of the parabolic Anderson model and Lifshitz tails.
The discrete-time parabolic Anderson model with heavy-tailed potential
Parabolic Anderson Model Directed Polymer Heavy Tailed Potential
2011/2/24
We consider a discrete-time version of the parabolic Anderson model. This may be described as a model for a directed (1+ d)-dimensional polymer interacting with a random potential, which is constant i...
Lifshitz Transition and Quantum Criticality in an Extended Periodic Anderson Model
Lifshitz Transition Quantum Criticality Extended Periodic Anderson Model
2010/11/25
We study the quantum phase transition in f-electron systems as a quantum Lifshitz transition
driven by selective Mott localization in a realistic extended Anderson lattice model. Using DMFT,we find t...
Scaling properties of the Anderson model in the Kondo regime studied by $σG σW$ formalism
properties of the Anderson model Kondo regime
2010/11/18
The symmetric Anderson model for a single impurity coupled to two leads is studied at strong
interaction using the GW approximation within the GW formalism. We find that the low energy
properties ...
Quenched Lyapunov exponent for the parabolic Anderson model in a dynamic random environment
Quenched Lyapunov exponent parabolic Anderson model
2010/11/9
We continue our study of the parabolic Anderson equation $\partial u/\partial t = \kappa\Delta u + \gamma\xi u$ for the space-time field $u\colon\,\Z^d\times [0,\infty)\to\R$, where $\kappa \in [0,\in...
A scaling limit theorem for the parabolic Anderson model with exponential potential
scaling limit theorem parabolic Anderson model exponential potential
2010/12/13
The parabolic Anderson problem is the Cauchy problem for the heat equation ¶tu(t, z) = D u(t, z)+x (t, z)u(t, z) on (0,¥)×Zd with random potential (x (t, z) : z ∈ Zd ) and localized initial c...
The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model
Multiparticle Homogeneous Model interacting quantum particles
2009/9/4
For a system of n interacting particles moving in the background of a “homogeneous” potential, we show that if the single particle Hamiltonian admits a density of states, so does the interacting n-par...