12 citations · 49 across the 10 of their papers we have counts for
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Decimations for One- and Two-dimensional Ising and Rotator Models II: Continuous versus Discrete Symmetries
Matteo D'Achille, Arnaud Le Ny, Aernout C. D. van Enter
We show how decimated Gibbs measures which have an unbroken continuous symmetry due to the Mermin-Wagner theorem, although their discrete equivalents have a phase transition, still…
Decimations for Two-dimensional Ising and Rotator Models I
Matteo D'Achille, Aernout C. D. van Enter, Arnaud Le Ny
We extend proofs of non-Gibbsianness of decimated Gibbs measures at low temperatures to include long-range, as well as vector-spin interactions. Our main tools consist in a two-dim…
Almost Gibbsian Measures on a Cayley Tree
Matteo D'Achille, Arnaud Le Ny
We consider the ferromagnetic n.n Ising model on Cayley trees in absence of external fields submitted to a modified majority rule transformation with overlapping cells already know…
Random assignment problems on manifolds
Dario Benedetto, Emanuele Caglioti, Sergio Caracciolo +3
We consider the assignment problem between two sets of random points on a smooth, two-dimensional manifold of unit area. It is known that the average cost scales as $E_Ω(N)…