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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 2022Show all

2 papers · 1 filter

math.PR2022★ 2 cited

The Triangle Condition for the Marked Random Connection Model

Matthew Dickson, Markus Heydenreich

We investigate a spatial random graph model whose vertices are given as a marked Poisson process on . Edges are inserted between any pair of points independently with…

math.PR2022

Prudent walk in dimension six and higher

Markus Heydenreich, Lorenzo Taggi, Niccolo Torri

We study the high-dimensional uniform prudent self-avoiding walk, which assigns equal probability to all nearest-neighbor self-avoiding paths of a fixed length that respect the pru…