27 citations · 30 across the 2 of their papers we have counts for
2 papers
math.SP2009★ 3 cited
Analysis of the Vibrational Mode Spectrum of a Linear Chain with Spatially Exponential Properties
Thomas Michelitsch, Gérard A. Maugin, Andrzej. F. Nowakowski +1
We deduce the dynamic frequency-domain-lattice Green's function of a linear chain with properties (masses and next-neighbor spring constants) of exponential spatial dependence. We…
math-ph2009★ 27 cited
Dispersion Relations and Wave Operators in Self-Similar Quasi-Continuous Linear Chains
Thomas M. Michelitsch, Gérard A. Maugin, Franck C. G. A Nicolleau +2
We construct self-similar functions and linear operators to deduce a self-similar variant of the Laplacian operator and of the D'Alembertian wave operator. The exigence of self-sim…