Nicholas R. Beaton

activity

20142026

collaborators

3 papers

math.CO2026

Ascending Convex Polyominoes

Nicholas Beaton, Simone Rinaldi

Convex polyominoes can be refined according to the number of direction changes in monotone paths connecting pairs of cells, leading to the notion of $k$ -convexity. In particular, t…

math.PR2024

Chemical distance for the half-orthant model

Nicholas Beaton, Mark Holmes, Xin Huang

The half-orthant model is a partially oriented model of a random medium involving a parameter $p \in [0, 1]$ , for which there is a critical value $p_{c} (d)$ (depending on the dimension…

cond-mat.stat-mech2014

Adsorption of self-avoiding walks at a defect

Nicholas R. Beaton

We consider the model of self-avoiding walks on the $d$ -dimensional hypercubic lattice interacting with a $d^{*}$ -dimensional defect, where $1 \leq d^{*} < d$ . Such an interaction can be…