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20052026
most citedMean-field behavior for long- and finite range Ising model, percolation and self-avoiding walk

44 citations · 181 across the 27 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

math-ph2016

Mean-field bound on the 1-arm exponent for Ising ferromagnets in high dimensions

Satoshi Handa, Markus Heydenreich, Akira Sakai

The 1-arm exponent for the ferromagnetic Ising model on is the critical exponent that describes how fast the critical 1-spin expectation at the center of the bal…

math.PR2016★ 26 cited

Structures in supercritical scale-free percolation

Markus Heydenreich, Tim Hulshof, Joost Jorritsma

Scale-free percolation is a percolation model on which can be used to model real-world networks. We prove bounds for the graph distance in the regime where vertices…