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20062026
most citedZero-temperature phase diagram for double-well type potentials in the summable variation class

20 citations · 52 across the 16 of their papers we have counts for

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math.DS2015★ 20 cited

Zero-temperature phase diagram for double-well type potentials in the summable variation class

Rodrigo Bissacot, Eduardo Garibaldi, Philippe Thieullen

We study the zero-temperature limit of the Gibbs measures of a class of long-range potentials on a full shift of two symbols . These potentials were introduced by Walters…

math.DS2015★ 2 cited

Convergence of discrete Aubry-Mather model in the continuous limit

Xifeng Su, Philippe Thieullen

We develop two approximation schemes for solving the cell equation and the discounted cell equation using Aubry-Mather-Fathi theory. The Hamiltonian is supposed to be Tonelli, time…