20 citations · 46 across the 9 of their papers we have counts for
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math.DS2013★ 6 cited
Continuity of the Peierls barrier and robustness of laminations
Blaz Mramor, Bob Rink
We study the Peierls barrier for a broad class of monotone variational problems. These problems arise naturally in solid state physics and from Hamiltonian twist maps. We start wit…
math.DS2013★ 10 cited
The laminations of a crystal near an anti-continuum limit
Vincent Knibbeler, Blaz Mramor, Bob Rink
The anti-continuum limit of a monotone variational recurrence relation consists of a lattice of uncoupled particles in a periodic background. This limit supports many trivial equil…