Sylvester Eriksson‐Bique

collaborators

3 papers

math.CA2024

Fragment-wise differentiable structures

David Bate, Sylvester Eriksson-Bique, Elefterios Soultanis

The $p$ -modulus of curves, test plans, upper gradients, charts, differentials, approximations in energy and density of directions are all concepts associated to the theory of Sobol…

math.MG2023

Equality of different definitions of conformal dimension for quasiself-similar and CLP spaces

Sylvester Eriksson-Bique

We prove that for a quasiself-similar and arcwise connected compact metric space all three known versions of the conformal dimension coincide: the conformal Hausdorff dimension, co…

math.MG2021

Nilpotent groups and biLipschitz embeddings into $L^{1}$

Sylvester Eriksson-Bique, Chris Gartland, Enrico Le Donne +2

We prove that if a simply connected nilpotent Lie group quasi-isometrically embeds into an $L^{1}$ space, then it is abelian. We reach this conclusion by proving that every Carnot gr…

Fragment-wise differentiable structures

Equality of different definitions of conformal dimension for quasiself-similar and CLP spaces

Nilpotent groups and biLipschitz embeddings into L1

Nilpotent groups and biLipschitz embeddings into $L^{1}$