Maarten Markering

activity

20202026

most citedThe large deviation principle for inhomogeneous Erdős-Rényi random graphs

11 citations · 11 across the 7 of their papers we have counts for

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Showing 2024 · math.PRShow all

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math.PR2024

Capacity of loop-erased random walk

Maarten Markering

We study the capacity of loop-erased random walk (LERW) on $Z^{d}$ . For $d \geq 4$ , we prove a strong law of large numbers and give explicit expressions for the limit in terms…

math.PR2024

Two-sided infinite self-avoiding walk in high dimensions

Maarten Markering

In this paper, we consider self-avoiding walk (SAW) on $Z^{d}$ for $d \geq 5$ . We construct the \emph{two-sided infinite SAW} and use it to prove pattern theorems for the self…