activity
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 2013Show all

2 papers · 1 filter

math.PR2013

Spontaneous breaking of rotational symmetry in the presence of defects

Markus Heydenreich, Franz Merkl, Silke W. W. Rolles

We prove a strong form of spontaneous breaking of rotational symmetry for a simple model of two-dimensional crystals with random defects in thermal equilibrium at low temperature.…

math.PR2013★ 8 cited

Backbone scaling limit of the high-dimensional IIC

Markus Heydenreich, Remco van der Hofstad, Tim Hulshof +1

We identify the scaling limit of the backbone of the high-dimensional incipient infinite cluster (IIC), both in the long- as well as in the finite-range setting. In the finite-rang…