100 citations · 316 across the 24 of their papers we have counts for
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math.DS2011★ 20 cited
On the destruction of minimal foliations
Blaz Mramor, Bob Rink
Monotone variational recurrence relations such as the Frenkel-Kontorova lattice, arise in solid state physics, conservative lattice dynamics and as Hamiltonian twist maps. For such…
math.DS2011★ 1 cited
Ghost circles in lattice Aubry-Mather theory
Blaz Mramor, Bob Rink
Monotone lattice recurrence relations such as the Frenkel-Kontorova lattice, arise in Hamiltonian lattice mechanics as models for fe?rromagnetism and as discretization of elliptic…
math.DS2011★ 9 cited
A dichotomy theorem for minimizers of monotone recurrence relations
Blaz Mramor, Bob Rink
Variational monotone recurrence relations arise in solid state physics as generalizations of the Frenkel-Kontorova model for a ferromagnetic crystal. For such problems, Aubry-Mathe…