171 citations · 471 across the 18 of their papers we have counts for
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math-ph2006★ 33 cited
Energy transport by acoustic modes of harmonic lattices
Lisa Harris, Jani Lukkarinen, Stefan Teufel +1
We study the large scale evolution of a scalar lattice excitation which satisfies a discrete wave-equation in three dimensions. We assume that the dispersion relation associated to…
math-ph2006★ 4 cited
Asymptotics of resolvent integrals: The suppression of crossings for analytic lattice dispersion relations
Jani Lukkarinen
We study the so called crossing estimate for analytic dispersion relations of periodic lattice systems in dimensions three and higher. Under a certain regularity assumption on the…