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4 papers · 2 filters
Exponential Stability of Subspaces for Quantum Stochastic Master Equations
Tristan Benoist, Clément Pellegrini, Francesco Ticozzi
We study the stability of quantum pure states and, more generally, subspaces for stochastic dynamics that describe continuously--monitored systems. We show that the target subspace…
Local decay for the damped wave equation in the energy space
Julien Royer
We improve a previous result about the local energy decay for the damped wave equation on R^d. The problem is governed by a Laplacian associated with a long range perturbation of t…
Local energy decay and smoothing effect for the damped Schr{ö}dinger equation
Moez Khenissi, Julien Royer
We prove the local energy decay and the smoothing effect for the damped Schr{ö}dinger equation on R^d. The self-adjoint part is a Laplacian associated to a long-range perturbation…
Duality between Spin networks and the 2D Ising model
Valentin Bonzom, Francesco Costantino, Etera R. Livine
The goal of this paper is to exhibit a deep relation between the partition function of the Ising model on a planar trivalent graph and the generating series of the spin network eva…