Jens Malmquist

activity

20162025

collaborators

4 papers

math.PR2025

Towards a characterization of elliptic Harnack inequality for jump processes

Jens Malmquist

Let $X$ be an isotropic unimodal Lévy jump process on $R^{d}$ . We develop probabilistic methods which in many cases allow us to determine whether $X$ satisfies the elliptic…

math.PR2022

Counterexamples to elliptic Harnack inequality for isotropic unimodal Lévy processes

Jens Malmquist, Mathav Murugan

Until now, it has been an open question whether every subordinated Brownian motion (SBM) satisfies the elliptic Harnack inequality (EHI). In this paper, we show that the answer is…

math.PR2020

Stability results for symmetric jump processes on metric measure spaces with atoms. Long version

Jens Malmquist

Consider a symmetric Markovian jump process ${X_{t}}$ on a metric measure space $(M, d, μ)$ . Chen, Kumagai, and Wang recently showed that two-sided heat kernel estimates and the pa…

math.NA2016

Numerical integration for fractal measures

Jens Malmquist, Robert S. Strichartz

We find estimates for the error in replacing an integral $\int f d μ$ with respect to a fractal measure $μ$ with a discrete sum $\sum_{x \in E} w (x) f (x)$ over a given sample set $E…