Hannes Luiro

activity

20122019

most citedOn the uniqueness of quasihyperbolic geodesics

2 citations · 2 across the 3 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.AP2019

Gradient and Lipschitz estimates for tug-of-war type games

Amal Attouchi, Hannes Luiro, Mikko Parviainen

We define a random step size tug-of-war game, and show that the gradient of a value function exists almost everywhere. We also prove that the gradients of value functions are unifo…

math.AP2018

Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities

Ángel Arroyo, Hannes Luiro, Mikko Parviainen +1

We prove an asymptotic Lipschitz estimate for value functions of tug-of-war games with varying probabilities defined in $Ω \subset R^{n}$ . The method of the proof is based on…

math.AP2016

Gradient walk and $p$ -harmonic functions

Hannes Luiro, Mikko Parviainen

We consider a class of stochastic processes and establish its connection to $p$ -harmonic functions. In particular, we obtain stochastic approximations that converge uniformly to a…

math.AP2012

On the existence and uniqueness of p-harmonious functions

Hannes Luiro, Mikko Parviainen, Eero Saksman

We give a self-contained and short proof for the existence, uniqueness and measurability of so called $p$ -harmonious functions. The proofs only use elementary analytic tools. As a…