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20162026
most citedOn recurrence of random walks with long-range steps generated by fractional Laplacian matrices on regular networks and simple cubic lattices

19 citations · 109 across the 18 of their papers we have counts for

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math-ph2016★ 15 cited

A fractional generalization of the classical lattice dynamics approach

T. M. Michelitsch, B. A. Collet, A. P. Riascos +2

We develop physically admissible lattice models in the harmonic approximation which define by Hamilton's variational principle fractional Laplacian matrices of the forms of power l…

math-ph2016

Fractional Lattice Dynamics: Nonlocal constitutive behavior generated by power law matrix functions and their fractional continuum limit kernels

Thomas Michelitsch, Bernard Collet, Alejandro Riascos +2

We introduce positive elastic potentials in the harmonic approximation leading by Hamilton's variational principle to fractional Laplacian matrices having the forms of power law ma…