Michael Hofstetter

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math.PR2026

Decay of correlations for the massless hierarchical Liouville model in infinite volume

Michael Hofstetter, Ofer Zeitouni

Let $(A_{v})_{v \in T}$ be the balanced Gaussian Branching Random Walk on a $d$ -ary tree $T$ and let $M^{A}$ be the multiplicative chaos with parameter $Î³\in (0, \s…

math.PR2025

A coupling for the Liouville and the sinh-Gordon model in the $L^{2}$ phase

Michael Hofstetter

Using a stochastic control approach we establish couplings of the Liouville field and the sinh-Gordon field with the Gaussian free field in dimension $d = 2$ , such that the differenc…

math.PR2025

The Liouville model in the $L^{1}$ phase: coupling and extreme values

Michael Hofstetter, Ofer Zeitouni

We establish a strong coupling between the Liouville model and the Gaussian free field on the two dimensional torus in the $L^{1}$ phase $I^^{2} \in (0, 8 I ¨ )$ , such that the difference of…

Decay of correlations for the massless hierarchical Liouville model in infinite volume

A coupling for the Liouville and the sinh-Gordon model in the L2 phase

The Liouville model in the L1 phase: coupling and extreme values

A coupling for the Liouville and the sinh-Gordon model in the $L^{2}$ phase

The Liouville model in the $L^{1}$ phase: coupling and extreme values