766 citations · 5.3k across the 140 of their papers we have counts for
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Unwrapped two-point functions on high-dimensional tori
Youjin Deng, Timothy M. Garoni, Jens Grimm +1
We study unwrapped two-point functions for the Ising model, the self-avoiding walk and a random-length loop-erased random walk on high-dimensional lattices with periodic boundary c…
Two-point functions of random-length random walk on high-dimensional boxes
Youjin Deng, Timothy M. Garoni, Jens Grimm +1
We study the two-point functions of a general class of random-length random walks on finite boxes in $\ZZ^d$ with , and provide precise asymptotics for their behaviour. We s…
The length of self-avoiding walks on the complete graph
Youjin Deng, Timothy M Garoni, Jens Grimm +2
We study the variable-length ensemble of self-avoiding walks on the complete graph. We obtain the leading order asymptotics of the mean and variance of the walk length, as the numb…