Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
37/2017

A Liouville theorem for stationary and ergodic ensembles of parabolic systems

Peter Bella, Alberto Chiarini and Benjamin Fehrman

Abstract

A first-order Liouville theorem is obtained for random ensembles of uniformly parabolic systems under the mere qualitative assumptions of stationarity and ergodicity. Furthermore, the paper establishes, almost surely, an intrinsic large-scale $\C^{1,\alpha}$-regularity estimate for caloric functions.

Received:
14.06.17
Published:
28.06.17

Related publications

inJournal
2019 Journal Open Access
Peter Bella, Alberto Chiarini and Benjamin J. Fehrman

A Liouville theorem for stationary and ergodic ensembles of parabolic systems

In: Probability theory and related fields, 173 (2019) 3/4, pp. 759-812