Maarten Markering

collaborators

3 papers

math.PR2026

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.PR2026

The scaling limit of random walk and the intrinsic metric on planar critical percolation

Irina ÄankoviÄ, Maarten Markering, Jason Miller +1

We consider critical site percolation ( $p = p_{c} = 1/2$ ) on the triangular lattice $T$ in two dimensions. We show that the simple random walk on the clusters of open vertices c…

math.PR2025

Rajat Subhra Hazra, Frank den Hollander, Maarten Markering

We consider an inhomogeneous ErdÅs-RÃ©nyi random graph $G_{N}$ with vertex set $[N] = {1, \dots, N}$ for which the pair of vertices $i, j \in [N]$ , $i \neq = j$ , is connected by an edge…

Capacity of loop-erased random walk

The scaling limit of random walk and the intrinsic metric on planar critical percolation

Large deviation principle for the norm of the Laplacian matrix of inhomogeneous ErdÅs-RÃ©nyi random graphs

Large deviation principle for the norm of the Laplacian matrix of inhomogeneous ErdÅs-RÃ©nyi random graphs