9 citations · 31 across the 9 of their papers we have counts for
10 papers
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…
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 Riemann…
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 , we study: (a) the Polyharmonic Gaussian Field on the discrete torus , that is th…
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-…
A Discovery Tour in Random Riemannian Geometry
Lorenzo Dello Schiavo, Eva Kopfer, Karl-Theodor Sturm
We study random perturbations of Riemannian manifolds by means of so-called Fractional Gaussian Fields, which are defined intrinsically by the given manif…
Functional inequalities for the heat flow on time-dependent metric measure spaces
Eva Kopfer, Karl-Theodor Sturm
We prove that synthetic lower Ricci bounds for metric measure spaces -- both in the sense of Bakry-Émery and in the sense of Lott-Sturm-Villani -- can be characterized by various f…
Super Ricci flows for weighted graphs
Matthias Erbar, Eva Kopfer
We present a notion of super Ricci flow for time-dependent finite weighted graphs. A challenging feature is that these flows typically encounter singularities where the underlying…
Super-Ricci flows and improved gradient and transport estimates
Eva Kopfer
We show that the heat flow on super-Ricci flows in the sense of Sturm satisfies transport estimates with respect to every -Kantorovich distance, . As an applic…
Gradient flow for the Boltzmann entropy and Cheeger's energy on time-dependent metric measure spaces
Eva Kopfer
We introduce notions of dynamic gradient flows on time-dependent metric spaces as well as on time-dependent Hilbert spaces. We prove existence of solutions for a class of time depe…
Heat Flows on Time-dependent Metric Measure Spaces and Super-Ricci Flows
Eva Kopfer, Karl-Theodor Sturm
We study the heat equation on time-dependent metric measure spaces (as well as the dual and the adjoint heat equation) and prove existence, uniqueness and regularity. Of particular…