output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2001 · math.PRShow all

3 papers · 2 filters

math.PR2001★ 70 cited

Ornstein-Zernike Theory for the finite range Ising models above T_c

M. Campanino, D. Ioffe, Y. Velenik

We derive precise Ornstein-Zernike asymptotic formula for the decay of the two-point function in the general context of finite range Ising type models on Z^d. The proof relies in a…

math.PR2001★ 42 cited

2D models of statistical physics with continuous symmetry: the case of singular interactions

Dima Ioffe, Senya Shlosman, Yvan Velenik

We show the absence of continuous symmetry breaking in 2D lattice systems without any smoothness assumptions on the interaction. We treat certain cases of interactions with integra…

math.PR2001★ 13 cited

Winterbottom Construction for Finite Range Ferromagnetic Models: An L_1 Approach

T. Bodineau, D. Ioffe, Y. Velenik

We provide a rigorous microscopic derivation of the thermodynamic description of equilibrium crystal shapes in the presence of a substrate, first studied by Winterbottom. We consid…