4 citations · 4 across the 3 of their papers we have counts for
3 papers
Dynamics and Lieb-Robinson estimates for lattices of interacting anharmonic oscillators
Laurent Amour, Pierre Levy-Bruhl, Jean Nourrigat
For a class of infinite lattices of interacting anharmonic oscillators, we study the existence of the dynamics, together with Lieb-Robinson bounds, in a suitable algebra of observa…
Decay of Quantum Correlations in a Lattice by Heat Kernel Methods
Laurent Amour, Claudy Cancelier, Pierre Levy-Bruhl +1
We prove some estimations of the correlation of two local observables in quantum spin systems (with Schrödinger equations) at large temperature. For that, we describe the heat kern…
Spectral Theory and Representations of Nilpotent Groups
Pierre Levy-Bruhl, Abderemane Mohamed, Jean Nourrigat
We give an estimate of the number of eigenvalues for the image under an irreducible representation of the ``sublaplacian'' on a stratified nilpotent Lie algebra. We als…