Lauri Hitruhin

activity

20152023

most citedThe lamination convex hull of stationary IPM

1 citations · 1 across the 10 of their papers we have counts for

collaborators

11 papers

math.CV2023

Quasiconformal curves and quasiconformal maps in metric spaces

Lauri Hitruhin, Athanasios Tsantaris

In this paper we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings $Ω \to R^{m}$ from some domain $Ω \subset R^{n}$ t…

math.AP2023

Relaxation of the kinematic dynamo equations

Lauri Hitruhin, Sauli Lindberg

We compute the exact relaxation and $Λ$ -convex hull of the kinematic dynamo equations and show that they coincide. We also find the relaxation in the stationary case.

math.CV2022

Finite distortion curves: Continuity, Differentiability and Lusin's (N) property

Lauri Hitruhin, Athanasios Tsantaris

We define finite distortion $ω$ -curves and we show that for some forms $ω$ and when the distortion function is sufficiently exponentially integrable the map is continuous, differen…

math.CV2022

Sharp Pointwise Contraction of Mappings with Integrable Distortion Which Are Quasiconformal in a Disk

Olli Hirviniemi, Lauri Hitruhin

We consider quasiconformal mappings of the unit disk that have a planar extension which have $p$ -integrable distortion. In this paper, we establish a bound for the modulus of conti…

math.CV2022

Dimension compression and expansion under homeomorphisms with exponentially integrable distortion

Lauri Hitruhin

We improve both dimension compression and expansion bounds for homeomorphisms with $p$ -exponentially integrable distortion. To the first direction we also introduce estimates for t…

math.DS2021

Pointwise rotation for homeomorphisms with integrable distortion and controlled compression

Lauri Hitruhin, Banhirup Sengupta

We obtain sharp rotation bounds for homeomorphisms $f : C \to C$ whose distortion is in $L_{l oc}^{p}$ , $p \geq 1$ , and whose inverse have controlled modulus of continuity…

math.CV2021

On mappings of finite distortion that are quasiconformal in the unit disk

Olli Hirviniemi, Lauri Hitruhin, István Prause +1

We study quasiconformal mappings of the unit disk that have planar extension with controlled distortion. For these mappings we prove a bound for the modulus of continuity of the in…

math.AP2021

Rotation bounds for Hölder continuous homeomorphisms with integrable distortion

Albert Clop, Lauri Hitruhin, Banhirup Sengupta

We obtain sharp rotation bounds for the subclass of homeomorphisms $f : C \to C$ of finite distortion which have distortion function in $L_{l oc}^{p}$ , $p > 1$ , and for wh…

math.AP2020★ 1 cited

The lamination convex hull of stationary IPM

Lauri Hitruhin, Sauli Lindberg

We compute the lamination convex hull of the stationary IPM equations. We also show in bounded domains that for subsolutions of stationary IPM taking values in the lamination conve…

math.MG2018

Stretching multifractal spectra and area compression of homeomorphisms with integrable distortion in higher dimensions

Lauri Hitruhin

We consider homeomorphisms with integrable distortion in higher dimensions and sharpen the previous bound for area compression, which was presented by Clop and Herron. Our method r…

math.CV2015

Pointwise rotation for mappings with exponentially integrable distortion

Lauri Hitruhin

We prove an upper bound for pointwise rotation of mappings with $p$ -exponentially integrable distortion. We also show that this bound is essentially optimal by providing examples w…