5 papers
On the entropy of Hilbert Geometries of Low Regularities
Jan Cristina, Louis Merlin
We compare the regularity of the boundary of a convex set with the value of its Finslerian volume entropy. The main result states that the volume entropy of a two-dimensional domai…
Minkowski space is locally the Noldus limit of a Poisson process causet
Jan Cristina
A poisson process on with causal structure inherited from the the usual Minkowski metric on has a normalised discrete causal distance $D_λ(x…
The Calderón problem is an inverse source problem
Jan Cristina
We prove that uniqueness for the Calderón problem on a Riemannian manifold with boundary follows from a hypothetical unique continuation property for the elliptic operator $Δ+V+(Λ^…
Detecting anisotropic inclusions through EIT
Jan Cristina, Lassi Päivärinta
We study the evolution equation where is the Dirichlet-Neumann operator of a decreasing family of Riemannian manifolds with boundary . We de…
The Hopf-Laplace equation: harmonicity and regularity
Jan Cristina, Tadeusz Iwaniec, Leonid V. Kovalev +1
The central theme in this paper is the Hopf-Laplace equation, which represents stationary solutions with respect to the inner variation of the Dirichlet integral. Among such soluti…