Benjamin Lees

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math.PR2026

Loop vs. Bernoulli percolation on trees: strict inequality of critical values

Andreas Klippel, Benjamin Lees, Christian MÃ¶nch

We study loop ensembles on locally finite rooted trees. The loops are induced by a Poisson process of links on the edges; the transposition-only case is the random interchange proc…

math.PR2026

Griffiths inequalities for the $O (N)$ -spin model

Benjamin Lees

We prove Griffiths inequalities for the $O (N)$ -spin model with inhomogeneous coupling constants and external magnetic field for any $N \geq 2$ . This is achieved by using a represent…

Loop vs. Bernoulli percolation on trees: strict inequality of critical values

Griffiths inequalities for the O(N)-spin model

Griffiths inequalities for the $O (N)$ -spin model