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Showing 2007 · math-phShow all
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math-ph2007
Repeated Quantum Interactions and Unitary Random Walks
Stéphane Attal, Ameur Dhahri
Among the discrete evolution equations describing a quantum system $\rH_S$ undergoing repeated quantum interactions with a chain of exterior systems, we study and characterize thos…
math-ph2007
Self-averaging of kinetic models for waves in random media
Guillaume Bal, Olivier Pinaud
Kinetic equations are often appropriate to model the energy density of high frequency waves propagating in highly heterogeneous media. The limitations of the kinetic model are quan…
math-ph2007★ 71 cited
A replica-coupling approach to disordered pinning models
Fabio Lucio Toninelli
We consider a renewal process τ={τ_0,τ_1,...} on the integers, where the law of τ_i-τ_{i-1} has a power-like tail P(τ_i-τ_{i-1}=n)=n^{-(α+1)}L(n) with α\ge0 and L(.) slowly varying…