Polyharmonic Fields and Liouville Quantum Gravity Measures on Tori of Arbitrary Dimension: from Discrete to Continuous

Lorenzo Dello Schiavo, Ronan Herry, Eva Kopfer +1

For an arbitrary dimension $n$, we study: (a) the Polyharmonic Gaussian Field $h_L$ on the discrete torus ${\mathbb{T}}_L^n=\frac{1}{L}{\mathbb{Z}}^n/{\mathbb{Z}}^n$, that is th…