Browsing by Author "Duminil-Copin, Hugo"
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- ItemCounting self-avoiding walks on the hexagonal lattice(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH, 2019) Duminil-Copin, HugoIn how many ways can you go for a walk along a lattice grid in such a way that you never meet your own trail? In this snapshot, we describe some combinatorial and statistical aspects of these so-called self-avoiding walks. In particular, we discuss a recent result concerning the number of self-avoiding walks on the hexagonal (“honeycomb”) lattice. In the last part, we briefly hint at the connection to the geometry of long random self-avoiding walks.