10 citations · 43 across the 42 of their papers we have counts for
6 papers · 1 filter
On the energy image density conjecture of Bouleau and Hirsch
Sylvester Eriksson-Bique, Mathav Murugan
We affirmatively resolve the energy image density conjecture of Bouleau and Hirsch (1986). Beyond the original framework of Dirichlet structures, we establish the energy image dens…
Quasisymmetric mappings on two variants of fractal percolation
Roope Anttila, Sylvester Eriksson-Bique, Aleksi Pyörälä
We study quasisymmetric maps on two variants of the classical fractal percolation model: the fat and dense fractal percolations. We show that, almost surely conditioned on non-exti…
Coarse and pointwise tangent fields
Guy C. David, Sylvester Eriksson-Bique, Raanan Schul
Alberti, Csörnyei and Preiss introduced a notion of a "pointwise (weak) tangent field" for a subset of Euclidean space -- a field that contains almost every tangent line of every c…
Uniqueness and nonuniqueness of -harmonic Green functions on weighted and metric spaces
Anders Björn, Jana Björn, Sylvester Eriksson-Bique +1
We study uniqueness of -harmonic Green functions in domains in a complete metric space equipped with a doubling measure supporting a -Poincaré inequality, with $1<p<\inft…
Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces
Riku Anttila, Sylvester Eriksson-Bique, Ryosuke Shimizu
We construct self-similar -energy forms on a rich class of \emph{Laakso-type fractal spaces} and study the properties of the associated Sobolev spaces $\mathscr{…
Duality for the gradient of a -harmonic function and the existence of gradient curves
Sylvester Eriksson-Bique, Saara Sarsa
Every convex optimization problem has a dual problem. The -Dirichlet problem in metric measure spaces is an optimization problem whose solutions are -harmonic functions. What…