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math.PR2026
Towards Liouville Quantum Gravity on fractals
Patricia Alonso Ruiz, Eva Kopfer
Motivated by the recent construction of fractional Gaussian fields on the Sierpinski gasket, we study those Gaussian fields whose covariance function exhibits a logarithmic behavio…
math.PR2026
Semiclassical limit of Polyakov-Liouville measure and Q-Curvature Uniformization on even-dimensional manifolds
Maria Gordina, Eva Kopfer, Karl-Theodor Sturm
We study the semiclassical limit of the Polyakov-Liouville measure , which is a non-Gaussian measure on $H^{-\eps}(M)$ that has recently been extended from Rieman…
math.PR2024
Conformally invariant random fields, quantum Liouville measures, and random Paneitz operators on Riemannian manifolds of even dimension
Lorenzo Dello Schiavo, Ronan Herry, Eva Kopfer +1
For large classes of even-dimensional Riemannian manifolds , we construct and analyze conformally invariant random fields. These centered Gaussian fields , called co-…