9 citations · 11 across the 5 of their papers we have counts for
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math.PR2021★ 9 cited
Weakly self-avoiding walk on a high-dimensional torus
Emmanuel Michta, Gordon Slade
How long does a self-avoiding walk on a discrete -dimensional torus have to be before it begins to behave differently from a self-avoiding walk on ? We consider a…
math.PR2021★ 2 cited
High-dimensional near-critical percolation and the torus plateau
Tom Hutchcroft, Emmanuel Michta, Gordon Slade
We consider percolation on and on the -dimensional discrete torus, in dimensions for the nearest-neighbour model and in dimensions for spread-out…
math.PR2021
Asymptotic behaviour of the lattice Green function
Emmanuel Michta, Gordon Slade
The lattice Green function, i.e., the resolvent of the discrete Laplace operator, is fundamental in probability theory and mathematical physics. We derive its long-distance behavio…